Search

In this work, we investigate the $\Upsilon(10753)\to\Upsilon(nS)\pi^+\pi^-$ ($n=1,2,3$) processes by considering the hadronic loop mechanism, where $\Upsilon(10753)$ is assigned to a conventional bottomonium in the $4S$-$3D$ mixing scheme. Our results of the concerned processes own considerable branching ratios, which can reach up to the order of magnitude of $10^{-4}-10^{-3}$. We should indicate that the measured $\Gamma_{e^+e^-}\times\mathcal{B}[\Upsilon(10753)\to\Upsilon(nS)\pi^+\pi^-]$ values given by Belle can be reproduced well. This fact supports the former bottomonium assignment to the $\Upsilon(10753)$ in the $4S$-$3D$ mixing scheme. Obviously, it is a good opportunity for the ongoing Belle II experiment if the predicted result in this work can be tested further., Comment: 7 pages, 4 figures and 1 table. arXiv admin note: text overlap with arXiv:2106.14123

The properties of the light vector meson states around 2.0 GeV have been poorly understood for a long time, which has become a barrier to the expansion to higher light vector meson spectrum. Recently, the BESIII collaboration released the measurements of the $e^+ e^- \to \omega\pi^0$ and $e^+ e^- \to \rho\eta^{\prime}$ reactions above 2.0 GeV, both of which are ideal processes to study the isovector $\rho$ meson family. In this work, through carrying out a combined analysis of the Born cross section data for the above two processes with the theoretical support on mass spectrum, and production and strong decay behaviors of the $\rho$ meson family around 2.0 GeV, we identify the enhancement structure near 2034 MeV observed in $e^+e^-\to\omega\pi^0$ to be the interference contribution from two resonances $\rho(1900)$ and $\rho(2150)$, and another enhancement structure at 2111 MeV reported in $e^+e^-\to\rho\eta^{\prime}$ to be the contributions from $\rho(2000)$ and $\rho(2150)$. This conclusion means that the $e^+e^-\to\omega\pi^0$ and $e^+e^-\to\rho \eta^{\prime}$ are the excellent golden channels to establish $\rho(1900)$ and $\rho(2000)$, especially for a $D$-wave state $\rho(2000)$, whose experimental search in the $e^+e^-$ collision should be quite challenging. The relevant cross section measurements with higher precision are expected in the future BESIII and Belle II experiments., Comment: 8 pages, 4 figures and 3 tables

The properties of the light vector meson states around 2.0 GeV have been poorly understood for a long time, which has become a barrier to the expansion to higher light vector meson spectrum. Recently, the BESIII collaboration released the measurements of the $e^+ e^- \to ωπ^0$ and $e^+ e^- \to ρη^{\prime}$ reactions above 2.0 GeV, both of which are ideal processes to study the isovector $ρ$ meson family. In this work, through carrying out a combined analysis of the Born cross section data for the above two processes with the theoretical support on mass spectrum, and production and strong decay behaviors of the $ρ$ meson family around 2.0 GeV, we identify the enhancement structure near 2034 MeV observed in $e^+e^-\toωπ^0$ to be the interference contribution from two resonances $ρ(1900)$ and $ρ(2150)$, and another enhancement structure at 2111 MeV reported in $e^+e^-\toρη^{\prime}$ to be the contributions from $ρ(2000)$ and $ρ(2150)$. This conclusion means that the $e^+e^-\toωπ^0$ and $e^+e^-\toρη^{\prime}$ are the excellent golden channels to establish $ρ(1900)$ and $ρ(2000)$, especially for a $D$-wave state $ρ(2000)$, whose experimental search in the $e^+e^-$ collision should be quite challenging. The relevant cross section measurements with higher precision are expected in the future BESIII and Belle II experiments., 8 pages, 4 figures and 3 tables

In this work, we investigate the $Υ(10753)\toΥ(nS)π^+π^-$ ($n=1,2,3$) processes by considering the hadronic loop mechanism, where $Υ(10753)$ is assigned to a conventional bottomonium in the $4S$-$3D$ mixing scheme. Our results of the concerned processes own considerable branching ratios, which can reach up to the order of magnitude of $10^{-4}-10^{-3}$. We should indicate that the measured $Γ_{e^+e^-}\times\mathcal{B}[Υ(10753)\toΥ(nS)π^+π^-]$ values given by Belle can be reproduced well. This fact supports the former bottomonium assignment to the $Υ(10753)$ in the $4S$-$3D$ mixing scheme. Obviously, it is a good opportunity for the ongoing Belle II experiment if the predicted result in this work can be tested further., 7 pages, 4 figures and 1 table. arXiv admin note: text overlap with arXiv:2106.14123

Very recently, the LHCb collaboration released the newest measurements of Bs→J/ψpp¯, where an enhancement structure near 4.34 GeV was observed in the invariant mass spectrum of J/ψp with the statistical significance of 3.1–3.7σ. In this work, by performing a combined analysis for the three invariant mass spectra of Bs→J/ψpp¯, we find that this J/ψp structure near 4.34 GeV can correspond to the contributions from the Pc(4380)+ state with the assumption of JP=3/2− together with the reflections of Bs→(f2*→pp¯)J/ψ. Here, Pc(4380) was first observed in Λb→J/ψpK but not confirmed in the updated LHCb data in 2019, and f2* means the exciting light isoscalar tensor meson around 2.0 GeV. Thus, this provides a possible evidence to support the existence of the pentaquark Pc(4380). Specifically, the assumed spin parity JP=3/2− of Pc(4380) is consistent with a prediction of the theoretical explanation of an S-wave D¯Σc* molecular bound state.

In this work, we investigate the open-charm decay process ψ→ΛcΛ¯c via the hadronic loop mechanism for vector charmonia above ΛcΛ¯c threshold. The branching ratios of these vector charmonium states to ΛcΛ¯c are estimated. The charmonium explanation of the Y(4630) observed in e+e−→ΛcΛ¯c is tested. Furthermore, for the predicted higher vector charmonia above 4.7 GeV, the branching ratios B[ψ(nS)→ΛcΛ¯c] with n=7, 8, 9 are found to be of the order of magnitude of 10−4−10−3 while B[ψ(mD)→ΛcΛ¯c] with m=6, 7, 8 are of the order of magnitude of 10−3−10−2. The experimental signals of these missing charmonium states are discussed. The search for them may be an interesting topic in the future BESIII and Belle II experiments.

Very recently, the LHCb collaboration released the newest measurements of $B_s \to J/\psi p\bar{p}$, where an enhancement structure near 4.34 GeV was observed in the invariant mass spectrum of $J/\psi p$ with the statistical significance of $3.1-3.7$ $\sigma$. In this work, by performing a combined analysis for the three invariant mass spectra of $B_s \to J/\psi p\bar{p}$, we find that this $J/\psi p$ structure near 4.34 GeV can correspond to the contributions from the $P_c(4380)^+$ state with the assumption of $J^{P}=3/2^{-}$ together with the reflections of $B_s \to (f_2^{*} \to p\bar{p})J/\psi$. Here, $P_c(4380)$ was first observed in $\Lambda_b \to J/\psi p K$ but not confirmed in the updated LHCb data in 2019, and $f_2^{*}$ means the exciting light isoscalar tensor meson around 2.0 GeV. Thus, this provides a possible evidence to support the existence of the pentaquark $P_c(4380)$. Specifically, the assumed spin parity $J^{P}=3/2^{-}$ of $P_c(4380)$ is consistent with a prediction of the theoretical explanation of an $S$-wave $\bar{D}\Sigma_c^*$ molecular bound state., Comment: 8 pages, 2 tables and 3 figures, accepted by Physical Review D

In this work, we predict the line shape of potential fully-heavy structures existed in the invariant mass spectrum of J/ψψ(3686), J/ψψ(3770), ψ(3686)ψ(3686), and J/ψϒ(1S) at high energy proton-proton collisions based on a dynamical rescattering picture, whose verification in experiments should be helpful to further clarify the dominant role in producing fully-charm structure X(6900) recently observed by LHCb. The above final states of vector heavy quarkonia can be experimentally reconstructed more effectively by a μ+μ− pair in the muon detector compared with QQ¯ meson with other quantum numbers. Furthermore, the corresponding peak mass positions of each of predicted fully-heavy structures are also given. Our theoretical studies here could provide some valuable information for the future measurement proposals of LHCb and CMS, especially based on the accumulated data after completing Run III of LHC in the near future.

We study the so-called magic mixing angles for doubly heavy baryons. Defining that a magic mixing angle rotates states with definite $^{2S+1}(l_\lambda)_J$ to make them heavy-quark symmetric states, we derive the magic mixing angle only in the case $L_\rho=0$ between the heavy quark symmetric states with quantum numbers $\left(J, j_\ell\right)$ and the states with $\left(J, s_q+j_\rho\right)=\left(J, \{^4l_\lambda/^2l_\lambda\}\right)$ for a doubly heavy baryon in the standard $\rho-\lambda$ configuration, where $\vec j_\ell=\vec l_\lambda+\vec s_q$, $\vec s_\rho=\vec s_{Q1}+\vec s_{Q2}$, and $\vec j_\rho=\vec s_\rho+\vec L_\rho$. We discuss how this mixing angle affects model building for a doubly heavy baryon., Comment: 6 pages, 1 figure

Importance The Systolic Blood Pressure Intervention Trial (SPRINT) demonstrated that a systolic blood pressure (BP) target less than 120 mm Hg was superior to less than 140 mm Hg for preventing vascular events. This trial excluded patients with prior stroke; therefore, the ideal BP target for secondary stroke prevention remains unknown. Objective To assess whether intensive BP control would achieve fewer recurrent strokes vs standard BP control. Design, Setting, and Participants Randomized clinical trial (RCT) of standard vs intensive BP control in an intent-to-treat population of patients who had a history of stroke. Patients were enrolled between October 20, 2010, and December 7, 2016. For an updated meta-analysis, PubMed and the Cochrane Central Library database were searched through September 30, 2018, using the Medical Subject Headings and relevant search terms forcerebrovascular diseaseand forintensive BP lowering. This was a multicenter trial that included 140 hospitals in Japan; 1514 patients who had a history of stroke within the previous 3 years were approached, but 234 refused to give informed consent. Interventions In total, 1280 patients were randomized 1:1 to BP control to less than 140/90 mm Hg (standard treatment) (n = 640) or to less than 120/80 mm Hg (intensive treatment) (n = 640). However, 17 patients never received intervention; therefore, 1263 patients assigned to standard treatment (n = 630) or intensive treatment (n = 633) were analyzed. Main Outcomes and Measures The primary outcome was stroke recurrence. Results The trial was stopped early. Among 1263 analyzed patients (mean [SD] age, 67.2 [8.8] years; 69.4% male), 1257 of 1263 (99.5%) completed a mean (SD) of 3.9 (1.5) years of follow-up. The mean BP at baseline was 145.4/83.6 mm Hg. Throughout the overall follow-up period, the mean BP was 133.2/77.7 (95% CI, 132.5-133.8/77.1-78.4) mm Hg in the standard group and 126.7/77.4 (95% CI, 125.9-127.2/73.8-75.0) mm Hg in the intensive group. Ninety-one first recurrent strokes occurred. Nonsignificant rate reductions were seen for recurrent stroke in the intensive group compared with the standard group (hazard ratio [HR], 0.73; 95% CI, 0.49-1.11;P = .15). When this finding was pooled in 3 previous relevant RCTs in a meta-analysis, the risk ratio favored intensive BP control (relative risk, 0.78; 95% CI, 0.64-0.96;P = .02; absolute risk difference, −1.5%; 95% CI, −2.6% to −0.4%; number needed to treat, 67; 95% CI, 39-250). Conclusions and Relevance Intensive BP lowering tended to reduce stroke recurrence. The updated meta-analysis supports a target BP less than 130/80 mm Hg in secondary stroke prevention. Trial Registration ClinicalTrials.gov identifier:NCT01198496

By an unquenched quark model, we predict a charmed-strange baryon state, namely, the Ωc0d(1P,1/2−). Its mass is predicted to be 2945 MeV, which is below the ΞcK¯ threshold due to the nontrivial coupled-channel effect. So the Ωc0d(1P,1/2−) state could be regarded as the analog of the charmed-strange meson Ds0*(2317). It is a good opportunity for the running Belle II experiment to search for this state in the Ωc(*)γ mass spectrum experiment in the future.

In this work, we investigate the open-charm decay process $\psi\to\Lambda_c\bar{\Lambda}_c$ via the hadronic loop mechanism for vector charmonia above $\Lambda_c\bar{\Lambda}_c$ threshold. The branching ratios of these vector charmonium states to $\Lambda_c\bar{\Lambda}_c$ are estimated. The charmonium explanation of the $Y(4630)$ observed in $e^+e^- \to \Lambda_c\bar{\Lambda}_c$ is tested. Furthermore, for the predicted higher vector charmonia above 4.7 GeV, the branching ratios $\mathcal{B}[\psi(nS)\to\Lambda_c\bar{\Lambda}_c]$ with $n=7,8,9$ are found to be of the order of magnitude of $10^{-4}-10^{-3}$ while $\mathcal{B}[\psi(mD)\to\Lambda_c\bar{\Lambda}_c]$ with $m=6,7,8$ are of the order of magnitude of $10^{-3}-10^{-2}$. The experimental signals of these missing charmonium states are discussed. The search for them may be an interesting topic in the future BESIII and Belle II experiments., Comment: 8 pages, 6 figures and 4 tables. Accepted by Phys. Rev. D

By an unquenched quark model, we predict a charmed-strange baryon state, namely, the $\Omega_{c0}^d(1P,1/2^-)$. Its mass is predicted to be 2945 MeV, which is below the $\Xi_c\bar{K}$ threshold due to the nontrivial coupled-channel effect. So the $\Omega_{c0}^d(1P,1/2^-)$ state could be regraded as the analog of the charmed-strange meson $D_{s0}^*(2317)$. It is a good opportunity for the running Belle II experiment to search for this state in the $\Omega_c^{(*)}\gamma$ mass spectrum experiment in the future., Comment: 8 pages, 2 tables and 3 figures. Accepted by PRD

Very recently, the BESIII Collaboration reported a charged hidden-charm structure with strangeness in the recoil mass of $$K^+$$ K + of a process $$e^+e^-\rightarrow D_s^{*-}D^0K^+$$ e + e - → D s ∗ - D 0 K + or $$D_s^{-}D^{*0}K^+$$ D s - D ∗ 0 K + , which is named as $$Z_{cs}(3985)^{-}$$ Z cs ( 3985 ) - . The newly observed charged structure can be treated as a partner structure with strangeness of well-known $$Z_{c}(3885)^{-}$$ Z c ( 3885 ) - reported in a process $$e^+e^-\rightarrow D^{*-}D^0\pi ^+$$ e + e - → D ∗ - D 0 π + . In this work, we propose a reflection picture to understand the nature of $$Z_{cs}(3985)$$ Z cs ( 3985 ) . By performing a combined analysis for the line shape of the recoil mass distribution of $$K^+$$ K + at five energy points $$\sqrt{s}=4.628, 4.641, 4.661, 4.681, 4.698$$ s = 4.628 , 4.641 , 4.661 , 4.681 , 4.698 GeV, we find that the $$Z_{cs}(3985)$$ Z cs ( 3985 ) can be explained as a reflection structure of charmed-strange meson $$D_{s2}^{*}(2573)$$ D s 2 ∗ ( 2573 ) , which is produced from the open-charm decay of Y(4660) with a $$D_s^*$$ D s ∗ meson. Furthermore, we predicted the angular distribution of final state $$D_s^{*-}$$ D s ∗ - in process $$e^+e^-\rightarrow D_s^{*-}D^0K^+$$ e + e - → D s ∗ - D 0 K + based on our proposed reaction mechanism, which may be an essential criterion to test the non-resonant nature of $$Z_{cs}(3985)$$ Z cs ( 3985 ) further.

In this work, we investigate the open-charm decay process $��\to��_c\bar��_c$ via the hadronic loop mechanism for vector charmonia above $��_c\bar��_c$ threshold. The branching ratios of these vector charmonium states to $��_c\bar��_c$ are estimated. The charmonium explanation of the $Y(4630)$ observed in $e^+e^- \to ��_c\bar��_c$ is tested. Furthermore, for the predicted higher vector charmonia above 4.7 GeV, the branching ratios $\mathcal{B}[��(nS)\to��_c\bar��_c]$ with $n=7,8,9$ are found to be of the order of magnitude of $10^{-4}-10^{-3}$ while $\mathcal{B}[��(mD)\to��_c\bar��_c]$ with $m=6,7,8$ are of the order of magnitude of $10^{-3}-10^{-2}$. The experimental signals of these missing charmonium states are discussed. The search for them may be an interesting topic in the future BESIII and Belle II experiments., 8 pages, 6 figures and 4 tables. Accepted by Phys. Rev. D

In this work, we perform a combined analysis to the measured data of the cross section of open-strange processes $e^+e^- \to K^+K^-$, $e^+e^- \to K\bar{K}^{*}+c.c.$, $e^+e^- \to K^{*+}K^{*-}$, $e^+e^- \to K_1(1270)^+K^-$, $e^+e^- \to K_1(1400)^+K^-$, $e^+e^- \to K_2^{*}(1430)\bar{K}+c.c.$ and $e^+e^- \to K(1460)^+K^-$ with the support of study of hadron spectroscopy. We reveal the contribution of the possible light vector mesons around 2 GeV to reproduce the cross section data of the reported open-strange processes from $e^+e^-$ annihilation which may provide a new perspective to construct the light vector meson family and understand the $Y(2175)$., Comment: 12 pages, 2 figures and 6 tables

Very recently, the LHCb collaboration released the newest measurements of $B_s \to J/��p\bar{p}$, where an enhancement structure near 4.34 GeV was observed in the invariant mass spectrum of $J/��p$ with the statistical significance of $3.1-3.7$ $��$. In this work, by performing a combined analysis for the three invariant mass spectra of $B_s \to J/��p\bar{p}$, we find that this $J/��p$ structure near 4.34 GeV can correspond to the contributions from the $P_c(4380)^+$ state with the assumption of $J^{P}=3/2^{-}$ together with the reflections of $B_s \to (f_2^{*} \to p\bar{p})J/��$. Here, $P_c(4380)$ was first observed in $��_b \to J/��p K$ but not confirmed in the updated LHCb data in 2019, and $f_2^{*}$ means the exciting light isoscalar tensor meson around 2.0 GeV. Thus, this provides a possible evidence to support the existence of the pentaquark $P_c(4380)$. Specifically, the assumed spin parity $J^{P}=3/2^{-}$ of $P_c(4380)$ is consistent with a prediction of the theoretical explanation of an $S$-wave $\bar{D}��_c^*$ molecular bound state., 8 pages, 2 tables and 3 figures, accepted by Physical Review D

In the present work, we investigate the dipion transitions between ϒ(5S) and ϒJ(1D) with J=1, 2, 3. Our analysis indicates that the dominant sources of the anomalously large widths of ϒ(5S)→ϒJ(1D)π+π− should be Zb(′), i.e., the dipion transitions occur via the cascade decays ϒ(5S)→Zb(′)±π∓→ϒJ(1D)π+π−. With the assumption that all the short ranged dynamics could be absorbed in a single cutoff with a model parameter α, the present estimations indicate that in a reasonable parameter range the measured branching ratios of ϒ(5S)→ϒJ(1D)π+π− can be reproduced in magnitude, which further proves that the decays via Zb(′) dominate the dipion transitions of ϒ(5S) to ϒJ(1D). Moreover, we also predict the ratios of the branching fractions of Zb(′)→ϒJ(1D)π, which in our calculations are largely independent of the parameter α and could be tested by further experiments in Belle II.

Different from the usual tetraquark assignment to charged $$Z_c(3885)$$ Z c ( 3885 ) and $$Z_c(4025)$$ Z c ( 4025 ) charmoniumlike structures, in this letter we propose a universal non-resonant explanation to decode these $$Z_c$$ Z c ’s, which is based on a special dynamical behavior of $$e^+e^-\rightarrow D^{(*)}{\bar{D}}^*\pi $$ e + e - → D ( ∗ ) D ¯ ∗ π . Our study shows that $$Z_c(3885)$$ Z c ( 3885 ) and $$Z_c(4025)$$ Z c ( 4025 ) are only the reflection from the P-wave charmed meson $$D_1(2420)$$ D 1 ( 2420 ) involved in $$e^+e^-\rightarrow D^{(*)}{\bar{D}}^*\pi $$ e + e - → D ( ∗ ) D ¯ ∗ π . Obviously, the present work provides a unique perspective, which can be examined by future experiments like BESIII and BelleII.

In this work, we seriously discuss whether X(3915) can be treated as a χc0(2P) state. Based on an unquenched quark model, we give the mass spectrum of the χcJ(2P) states, where there are no free input parameters in our calculation. Our result shows that the mass gap between χc0(2P) and χc2(2P) can reach 13 MeV, which can reproduce the mass difference between Z(3930) and X(3915). Additionally, the calculated masses of χc0(2P) and χc2(2P) are consistent with experimental values of X(3915) and Z(3930), respectively. Besides, giving the mass spectrum analysis to support X(3915) as χc0(2P), we also calculate the width of χc0(2P) with the same framework, which is also consistent with the experimental data of X(3915). Thus, the possibility of charmoniumlike state X(3915) as χc0(2P) state is further enforced.

Experimentally observed excited strange charmed mesons $D_{s0}^*(2317)^{\pm}$, $D_{s1}(2460)^{\pm}$, $D_{s1}(2536)^{\pm}$, $D_{s2}^*(2573)^{\pm}$, $D_{s1}^*(2700)^{\pm}$, $D_{s1}^*(2860)^{\pm}$, $D_{s3}^*(2860)^{\pm}$, and $D_{sJ}(3040)^{\pm}$ are identified tentatively according to their spin, parity, and masses. Using the heavy quark effective theory in the leading order approximation, we study their strong decays to ground state charmed mesons plus light pseudoscalar mesons. The branching ratios are classified, $(D_{s0}^*(2317), D_{s1}(2460))$ as $(1^3P_0, 1P_1)$ and $(D_{s1}(2536), D_{s2}^*(2573))$ as $(1P_1^{\prime}, 1^3P_2)$, in heavy quark doublets. The $D_{s1}^*(2700)$ as $2^3S_1$ and its spin partner, $2^1S_0$ is still missing in the experiment. Its strong decay behavior is predicted. The assignment of $D_{sJ}^*(2860)$ as four resonance states $D_{s1}^*(2860)$, $D_{s2}^*(2860)$, $D_{s2}^{*\prime}(2860)$, $D_{s3}^*(2860)$ is favored, where for $D_{s3}^*(2860)^{\pm}$ the mass should be expected to higher than 2.86 GeV. The $D_{sJ}(3040)$ is more likely to be 2$P_1$ state. We construct the Regge trajectories of experimentally observed strange charmed mesons in $(M^2, J)$ and $(M^2, n_r)$ planes, which estimate the masses of $1^3D_3$, $1^3F_4$, $1D_2$, $1^1F_3$, $1D_2^{\prime}$, $1F_3^{\prime}$, $3^3S_1$, and $3P_1$ states with fixing the slopes and intercepts of the Regge lines. Moreover, the strong decay rates and the branching ratios of these higher excited states are also examined, which distinguished the dominant decay channels for these higher excited states. Our results could provide some important clues in LHCb, BESIII, KEK-B, and the forthcoming Belle II and $\overline{\mbox{\sffamily P}}${\sffamily ANDA} experiments., 14 pages

In this work, we seriously discuss whether $X(3915)$ can be treated as a $\chi_{c0}(2P)$ state. Based on an unquenched quark model, we give the mass spectrum of the $\chi_{cJ}(2P)$ states, where there are no free input parameters in our calculation. Our result shows that the mass gap between $\chi_{c0}(2P)$ and $\chi_{c2}(2P)$ can reach 13 MeV, which can reproduce the mass difference between $Z(3930)$ and $X(3915)$. Additionally, the calculated masses of $\chi_{c0}(2P)$ and $\chi_{c2}(2P)$ are consistent with experimental values of $X(3915)$ and $Z(3930)$, respectively. Besides, giving the mass spectrum analysis to support $X(3915)$ as $\chi_{c0}(2P)$, we also calculate the width of $\chi_{c0}(2P)$ with the same framework, which is also consistent with the experimental data of $X(3915)$. Thus, the possibility of charmoniumlike state $X(3915)$ as $\chi_{c0}(2P)$ state is further enforced., Comment: 12 pages, 9 figures and 6 tables. More discussions added. Accepted by PRD for publication

In this work, we present the mass spectrum of higher charomona around and above 4.6 GeV by adopting the unquenched potential model. We perform a combined fit to the updated experimental data of $e^+e^- \to \psi(2S)\pi^+\pi^-$ and $e^+e^-\to \Lambda_c\bar{\Lambda}_c$. To understand the "platform" structure observed in the range of $4.57 \sim 4.60$ GeV existing in the $\Lambda_c\bar{\Lambda}_c$ invariant mass spectrum of $e^+e^-\to \Lambda_c\bar{\Lambda}_c$ of BESIII, we introduce two resonances in this combined fit to the $e^+e^- \to \psi(2S)\pi^+\pi^-$ and $e^+e^-\to \Lambda_c\bar{\Lambda}_c$, which have resonance parameters, $m_{Y_1}=4585\pm2$ MeV, $\Gamma_{Y_1}=29.8\pm8.0$ MeV, $m_{Y_2}=4676\pm7$ MeV, and $\Gamma_{Y_2}=85.7\pm15.0$ MeV. Furthermore, combining with our theoretical results, we indicate that the two charmonium-like $Y$ states can be due to two higher charmonia, which are mixtures of $6S$ and $5D$ $c\bar{c}$ states. Their two-body open-charm decay behaviors are given. Under the same framework, our analysis of the data of $e^+e^-\to D_{s}^+D_{s1}(2536)^-$ recently released by Belle supports to introduce these two higher charmonia around 4.6 GeV. Additionally, we predict the masses and two-body open-charm decays of six higher charmonia $\psi(nS)$ and $\psi(mD)$ with $n=7,8,9$ and $m=6,7,8$ above 4.6 GeV. Search for these higher charmonia will be an interesting issue for the running BESIII and BelleII, and even the possible Super Tau-Charm Factory discussed in China., Comment: 11 pages, 4 tables and 8 figures. More discussions and references added. Accepted by Phys. Rev. D

In this work, we seriously discuss whether $X(3915)$ can be treated as a $��_{c0}(2P)$ state. Based on an unquenched quark model, we give the mass spectrum of the $��_{cJ}(2P)$ states, where there are no free input parameters in our calculation. Our result shows that the mass gap between $��_{c0}(2P)$ and $��_{c2}(2P)$ can reach 13 MeV, which can reproduce the mass difference between $Z(3930)$ and $X(3915)$. Additionally, the calculated masses of $��_{c0}(2P)$ and $��_{c2}(2P)$ are consistent with experimental values of $X(3915)$ and $Z(3930)$, respectively. Besides, giving the mass spectrum analysis to support $X(3915)$ as $��_{c0}(2P)$, we also calculate the width of $��_{c0}(2P)$ with the same framework, which is also consistent with the experimental data of $X(3915)$. Thus, the possibility of charmoniumlike state $X(3915)$ as $��_{c0}(2P)$ state is further enforced., 12 pages, 9 figures and 6 tables. More discussions added. Accepted by PRD for publication

Very recently, the LHCb Collaboration reported the observation of several enhancements in the invariant mass spectrum of a $J/��$ pair between 6.2 and 7.4 GeV. In this work, we propose the dynamical mechanism to mimic the experimental data of a di-$J/��$ mass spectrum given by LHCb, which is based on the reactions, where all the possible combinations of a double charmonium directly produced by a proton-proton collision are transferred into a final state $J/��J/��$. We find that the LHCb experimental data can be well reproduced. We further extend our framework to study a di-$��(1S)$ system, and give the line shape of a differential cross section of a partner process in a $b\bar{b}$ system on the invariant mass of $��(1S)��(1S)$, which shows that there should exist possible enhancements near $m_{��(1S)��(1S)}=$19.0, 19.3, 19.7 GeV in the $��(1S)$-pair invariant mass spectrum. These predictions can be tested in LHCb and CMS, which can be as a potential research issue in near future., 5 pages, 1 table and 2 figures

Motivated by a recent successful dynamical explanation for the newly observed fully-charm structure $X(6900)$ in the mass spectrum of di-$J/��$ by LHCb [J.~Z.~Wang \textit{et al.} arXiv:2008.07430], in this work, we extend the same dynamical rescattering mechanism to predict the line shape of more potential fully-heavy structures in the invariant mass spectrum of $J/����(3686)$, $J/����(3770)$, $��(3686) ��(3686)$, and $J/����(1S)$ at high energy proton-proton collisions, whose verification in experiments should be helpful to further clarify the nature of $X(6900)$. The above final states of vector heavy quarkonia can be experimentally reconstructed more effectively by a $��^+��^-$ pair in the muon detector compared with $Q\bar{Q}$ meson with other quantum numbers. Furthermore, the corresponding peak mass positions of each of predicted fully-heavy structures are also given. Our theoretical studies here could provide some valuable information for the future measurement proposals of LHCb and CMS, especially based on the accumulated data after completing Run III of LHC in the near future., 7 pages, 5 figures and 2 tables

In the present work, we investigate the dipion transitions between $\Upsilon(5S)$ and $\Upsilon_J(1D)$ with $J=1, 2, 3$. Our analysis indicates that the dominant sources of the anomalously large widths of $\Upsilon(5S)\to \Upsilon_J(1D) \pi^+ \pi^-$ should be $Z_b^{(\prime)}$, i.e., the dipion transitions occur via the cascade decays $\Upsilon(5S)\to Z_b^{(\prime)\pm} \pi^\mp \to \Upsilon_J(1D) \pi^+ \pi^-$. With the assumption that all the short ranged dynamics could be absorbed in a single cutoff with a model parameter $\alpha$, the present estimations indicate that in a reasonable parameter range the measured branching ratios of $\Upsilon(5S) \to \Upsilon_J(1D) \pi^+ \pi^-$ can be reproduced in magnitude, which further proves that the decays via $Z_b^{(\prime)}$ dominate the dipion transitions of $\Upsilon(5S)$ to $\Upsilon_J(1D)$. Moreover, we also predict the ratios of the branching fractions of $Z_b^{(\prime)} \to \Upsilon_J(1D) \pi$, which in our calculations are largely independent of the parameter $\alpha$ and could be tested by further experiments in Belle II., Comment: 9 pages, 5 figures, accepted for publication in the Phys.Rev.D

The measured masses and strong decays of Λb(6146)0 and Λb(6152)0 required us to decode them as the 1D excited states with JP=3/2+ and JP=5/2+, respectively. Under the suggested assignment, the masses and total decay widths of Λb(6146)0 and Λb(6152)0 can be explained. As a JP=3/2+ state, the Λb(6146)0 should mainly decay into Σb(5815)π. However, this theoretical result is in contradiction to the measurement since no significant Λb(6146)0→Σb(5815)±π∓ signals were observed by the LHCb. The possible explanations for this difficulty are mentioned. For completeness, we present the prediction of masses and decay widths of other unseen 1D bottom baryons in this work. Our results could provide some important clues for the upcoming experiments.

The measured masses and strong decays of $\Lambda_b(6146)^0$ and $\Lambda_b(6152)^0$ required us to decode them as the 1$D$ excited states with $J^P=3/2^+$ and $J^P=5/2^+$, respectively. Under the suggested assignment, the masses and total decay widths of $\Lambda_b(6146)^0$ and $\Lambda_b(6152)^0$ can be explained. As a $J^P=3/2^+$ state, the $\Lambda_b(6146)^0$ should mainly decay into $\Sigma_b(5815)\pi$. However, this theoretical result is in contradiction to the measurement since no significant $\Lambda_b(6146)^0\rightarrow\Sigma_b(5815)^\pm\pi^\mp$ signals were observed by the LHCb. The possible explanations to this difficulty are mentioned. For completeness, we present the prediction of masses and decay widths of other unseen 1$D$ bottom baryons in this work. Our results could provide some important clues for the upcoming experiments., Comment: 8 pages, 3 figures, 8 tables, matches published version

In 2017, the BESIII Collaboration announced the observation of a charged charmonium-like structure in the $$\psi (3686)\pi ^\pm $$ ψ(3686)π± invariant mass spectrum of the $$e^+ e^- \rightarrow \psi (3686) \pi ^+ \pi ^-$$ e+e-→ψ(3686)π+π- process at different energy points, which enables us to perform a precise study of this process based on the initial single pion emission (ISPE) mechanism. In this work, we perform a combined fit to the experimental data of the cross section of $$e^+ e^- \rightarrow \psi (3686) \pi ^+ \pi ^-$$ e+e-→ψ(3686)π+π- , and the corresponding $$\psi (3686)\pi ^\pm $$ ψ(3686)π± and dipion invariant mass spectra. Our result shows that the observed charged charmonium-like structure in $$e^+ e^- \rightarrow \psi (3686) \pi ^+ \pi ^-$$ e+e-→ψ(3686)π+π- can be well reproduced based on the ISPE mechanism, and that the corresponding dipion invariant mass spectrum and cross section can be depicted with the same parameters. In fact, it provides strong evidence that the ISPE mechanism can be an underlying mechanism resulting in such novel a phenomenon.

Based on the updated data of charmoniumlike state Y(4220) reported in the hidden-charm channels of the e+e− annihilation, we propose a 4S-3D mixing scheme to categorize Y(4220) into the J/ψ family. We find that the present experimental data can support this charmonium assignment to Y(4220). Thus, Y(4220) plays a role of a scaling point in constructing higher charmonia above 4 GeV. To further test this scenario, we provide more abundant information on the decay properties of Y(4220), and predict its charmonium partner ψ(4380), whose evidence is found by analyzing the e+e−→ψ(3686)π+π− data from BESIII. If Y(4220) is indeed a charmonium, we must face how to settle the established charmonium ψ(4415) in the J/ψ family. In this work, we may introduce a 5S-4D mixing scheme, and obtain the information of the resonance parameters and partial open-charm decay widths of ψ(4415), which do not contradict the present experimental data. Additionally, we predict a charmonium partner ψ(4500) of ψ(4415), which can be accessible at future experiments, especially, BESIII and BelleII. The studies presented in this work provide new insights to establish the higher charmonium spectrum.

Based on the updated data of charmoniumlike state $Y(4220)$ reported in the hidden-charm %and open-charm channels of the $e^+e^-$ annihilation, we propose a $4S$-$3D$ mixing scheme to categorize $Y(4220)$ into the $J/\psi$ family. We find that the present experimental data can support this charmonium assignment to $Y(4220)$. Thus, $Y(4220)$ plays a role of a scaling point in constructing higher charmonia above 4 GeV. To further test this scenario, we provide more abundant information on the decay properties of $Y(4220)$, and predict its charmonium partner $\psi(4380)$, whose evidence is found by analyzing the $e^+e^-\to \psi(3686)\pi^+\pi^-$ data from BESIII. If $Y(4220)$ is indeed a charmonium, we must face how to settle the established charmonium $\psi(4415)$ in the $J/\psi$ family. In this work, we may introduce a $5S$-$4D$ mixing scheme, and obtain the information of the resonance parameters and partial open-charm decay widths of $\psi(4415)$, which do not contradict the present experimental data. Additionally, we predict a charmonium partner $\psi(4500)$ of $\psi(4415)$, which can be accessible at future experiments, especially, BESIII and BelleII. The studies presented in this work provide new insights to establish the higher charmonium spectrum., Comment: 15 pages, 10 figures and 4 tables. Accepted by Phys. Rev. D

Using the covariant light-front approach with conventional vertex functions, we estimate the production rates of D -wave charmed/charmed-strange mesons via the semileptonic decays. As the calculated production rates are significant, it seems possible to experimentally search for D -wave charmed/charmed-strange mesons via semileptonic decays, which may provide an additional approach for exploring D -wave charmed/charmed-strange mesons.

The measured masses and strong decays of $��_b(6146)^0$ and $��_b(6152)^0$ required us to decode them as the 1$D$ excited states with $J^P=3/2^+$ and $J^P=5/2^+$, respectively. Under the suggested assignment, the masses and total decay widths of $��_b(6146)^0$ and $��_b(6152)^0$ can be explained. As a $J^P=3/2^+$ state, the $��_b(6146)^0$ should mainly decay into $��_b(5815)��$. However, this theoretical result is in contradiction to the measurement since no significant $��_b(6146)^0\rightarrow��_b(5815)^\pm��^\mp$ signals were observed by the LHCb. The possible explanations to this difficulty are mentioned. For completeness, we present the prediction of masses and decay widths of other unseen 1$D$ bottom baryons in this work. Our results could provide some important clues for the upcoming experiments., 8 pages, 3 figures, 8 tables, matches published version

Based on the updated data of charmoniumlike state $Y(4220)$ reported in the hidden-charm %and open-charm channels of the $e^+e^-$ annihilation, we propose a $4S$-$3D$ mixing scheme to categorize $Y(4220)$ into the $J/��$ family. We find that the present experimental data can support this charmonium assignment to $Y(4220)$. Thus, $Y(4220)$ plays a role of a scaling point in constructing higher charmonia above 4 GeV. To further test this scenario, we provide more abundant information on the decay properties of $Y(4220)$, and predict its charmonium partner $��(4380)$, whose evidence is found by analyzing the $e^+e^-\to ��(3686)��^+��^-$ data from BESIII. If $Y(4220)$ is indeed a charmonium, we must face how to settle the established charmonium $��(4415)$ in the $J/��$ family. In this work, we may introduce a $5S$-$4D$ mixing scheme, and obtain the information of the resonance parameters and partial open-charm decay widths of $��(4415)$, which do not contradict the present experimental data. Additionally, we predict a charmonium partner $��(4500)$ of $��(4415)$, which can be accessible at future experiments, especially, BESIII and BelleII. The studies presented in this work provide new insights to establish the higher charmonium spectrum., 15 pages, 10 figures and 4 tables. Accepted by Phys. Rev. D

In 2017, the BESIII Collaboration announced the observation of a charged charmonium-like structure in the $��(3686)��^\pm$ invariant mass spectrum of the $e^+ e^- \to ��(3686) ��^+ ��^-$ process at different energy points, which enables us to perform a precise study of this process based on the initial single pion emission (ISPE) mechanism. In this work, we perform a combined fit to the experimental data of the cross section of $e^+ e^- \to ��(3686) ��^+ ��^-$, and the corresponding $��(3686)��^\pm$ and dipion invariant mass spectra. Our result shows that the observed charged charmonium-like structure in $e^+ e^- \to ��(3686) ��^+ ��^-$ can be well reproduced based on the ISPE mechanism, and that the corresponding dipion invariant mass spectrum and cross section can be depicted with the same parameters. In fact, it provides strong evidence that the ISPE mechanism can be an underlying mechanism resulting in such novel a phenomenon., 11 pages, 8 figures and 4 tables

Recently, the BESIII Collaboration reported a new measurement of the $\eta_c \rho$ decay mode of $Z_c^{(\prime)}$, which motivated us to study the inner structure of $Z_c^{(\prime)}$ via investigating the hidden charm decays of these two $Z_c$ states. We consider the {triangle loop mechanism} contribution in the hidden charm decays of $Z_c^{(\prime)}$. Our estimations indicate that the triangle loop mechanism plays an important role in the decays of the $Z_c^{(\prime)}$, where our results are in agreement with the experimental observations in a reasonable parameter range. Furthermore, we point out that the $Z_c^{(\prime)}$ can be interpreted as the hadronic molecules, while the tetraquark scenario is less favored.

In this work, we propose a possible experimental research topic on the ϒ(6S)→ϒ(nS)η(′) (n=1, 2, 3) transitions. Considering the hadronic loop effect from the intermediate S-wave B(s) and B(s)* mesons, we estimate the partial decay widths and the corresponding branching ratios of the ϒ(6S)→ϒ(nS)η(′) hadronic decays, which become considerably large. With the running of the Belle II experiment, it becomes possible to explore these ϒ(6S)→ϒ(nS)η(′) transitions.

In this work, we propose a possible experimental research topic on the $\Upsilon(6S)\to \Upsilon(nS)\eta^{(\prime)}$ ($n=1,2,3$) transitions. Considering the hadronic loop effect from the intermediate $S$-wave $B_{(s)}$ and $B_{(s)}^*$ mesons, we estimate the partial decay widths and the corresponding branching ratios of the $\Upsilon(6S)\to \Upsilon(nS)\eta^{(\prime)}$ hadronic decays, which become considerably large. With the running of the Belle II experiment, it becomes possible to explore these $\Upsilon(6S)\to \Upsilon(nS)\eta^{(\prime)}$ transitions., Comment: 6 pages and 3 figures. Accepted by Phys. Rev. D

We perform the investigation of two-body hidden-bottom transitions of the ϒ(6S), which include ϒ(6S)→ϒ(13DJ)η(J=1,2,3) decays. For estimating the branching ratios of these processes, we consider contributions from the triangle hadronic loops composed of S-wave B(s) and B(s)* mesons, which are a bridge to connect the ϒ(6S) and final states. Our results show that both of the branching ratios of these decays can reach 10−3. Because of such considerable potential to observe these two-body hidden-bottom transitions of the ϒ(6S), we suggest the forthcoming Belle II experiment to explore them.

We perform the investigation of two-body hidden-bottom transitions of the $\Upsilon(6S)$, which include $\Upsilon(6S) \to \Upsilon(1^3D_J) \eta~~(J=1,2,3)$ decays. For estimating the branching ratios of these processes, we consider contributions from the triangle hadronic loops composed of S-wave $B_{(s)}$ and $B_{(s)}^*$ mesons, which are a bridge to connect the $\Upsilon(6S)$ and final states. Our results show that both of the branching ratios of these decays can reach $10^{-3}$. Due to such considerable potential to observe these two-body hidden-bottom transitions of the $\Upsilon(6S)$, we suggest the forthcoming Belle II experiment to explore them., Comment: 7 pages, 3 figures and 1 table

In this work, we propose a possible experimental research topic on the $��(6S)\to ��(nS)��^{(\prime)}$ ($n=1,2,3$) transitions. Considering the hadronic loop effect from the intermediate $S$-wave $B_{(s)}$ and $B_{(s)}^*$ mesons, we estimate the partial decay widths and the corresponding branching ratios of the $��(6S)\to ��(nS)��^{(\prime)}$ hadronic decays, which become considerably large. With the running of the Belle II experiment, it becomes possible to explore these $��(6S)\to ��(nS)��^{(\prime)}$ transitions., 6 pages and 3 figures. Accepted by Phys. Rev. D

Recently, the BESIII Collaboration reported a new measurement of the $��_c ��$ decay mode of $Z_c^{(\prime)}$, which motivated us to study the inner structure of $Z_c^{(\prime)}$ via investigating the hidden charm decays of these two $Z_c$ states. We consider the {triangle loop mechanism} contribution in the hidden charm decays of $Z_c^{(\prime)}$. Our estimations indicate that the triangle loop mechanism plays an important role in the decays of the $Z_c^{(\prime)}$, where our results are in agreement with the experimental observations in a reasonable parameter range. Furthermore, we point out that the $Z_c^{(\prime)}$ can be interpreted as the hadronic molecules, while the tetraquark scenario is less favored.

We perform the investigation of two-body hidden-bottom transitions of the $��(6S)$, which include $��(6S) \to ��(1^3D_J) ��~~(J=1,2,3)$ decays. For estimating the branching ratios of these processes, we consider contributions from the triangle hadronic loops composed of S-wave $B_{(s)}$ and $B_{(s)}^*$ mesons, which are a bridge to connect the $��(6S)$ and final states. Our results show that both of the branching ratios of these decays can reach $10^{-3}$. Due to such considerable potential to observe these two-body hidden-bottom transitions of the $��(6S)$, we suggest the forthcoming Belle II experiment to explore them., 7 pages, 3 figures and 1 table

In this work, we investigate the hadronic loop contributions to the Υ(6S)→χbJϕ(J=0,1,2) along with Υ(6S)→χbJω(J=0,1,2) transitions. We predict that the branching ratios of Υ(6S)→χb0ϕ , Υ(6S)→χb1ϕ and Υ(6S)→χb2ϕ are (0.68–4.62) ×10-6 , (0.50–3.43) ×10-6 , and (2.22–15.18) ×10-6 , respectively, and those of Υ(6S)→χb0ω , Υ(6S)→χb1ω and Υ(6S)→χb2ω are (0.15–2.81) ×10-3 , (0.63–11.68) ×10-3 , and (1.08–20.02) ×10-3 , respectively. Especially, some typical ratios, which reflect the relative magnitudes of the predicted branching ratios, are given, i.e., for Υ(6S)→χbJϕ transitions, R10ϕ=B[Υ(6S)→χb1ϕ]/B[Υ(6S)→χb0ϕ]≈0.74 , R20ϕ=B[Υ(6S)→χb2ϕ]/B[Υ(6S)→χb0ϕ]≈3.28 , and R21ϕ=B[Υ(6S)→χb2ϕ]/B[Υ(6S)→χb1ϕ]≈4.43 , and for Υ(6S)→χbJω transitions, R10ω=B[Υ(6S)→χb1ω]/B[Υ(6S)→χb0ω]≈4.11 , R20ω=B[Υ(6S)→χb2ω]/B[Υ(6S)→χb0ω]≈7.06 , and R21ω=B[Υ(6S)→χb2ω]/B[Υ(6S)→χb1ω]≈1.72 . With the running of BelleII in the near future, experimental measurement of these two kinds of transitions will be a potential research issue.

In this work, we investigate the hadronic loop contributions to the $\Upsilon(6S) \to \chi_{bJ} \phi~(J=0,1,2)$ along with $\Upsilon(6S) \to \chi_{bJ} \omega~(J=0,1,2)$ transitions. We predict that the branching ratios of $\Upsilon(6S) \to \chi_{b0} \phi$, $\Upsilon(6S) \to \chi_{b1} \phi$ and $\Upsilon(6S) \to \chi_{b2} \phi$ are $(0.68 \sim 4.62) \times 10^{-6}$, $(0.50 \sim 3.43) \times 10^{-6}$ and $(2.22 \sim 15.18) \times 10^{-6}$, respectively and those of $\Upsilon(6S) \to \chi_{b0} \omega$, $\Upsilon(6S) \to \chi_{b1} \omega$ and $\Upsilon(6S) \to \chi_{b2} \omega$ are $(0.15 \sim 2.81) \times 10^{-3}$, $(0.63 \sim 11.68) \times 10^{-3}$ and $(1.08 \sim 20.02) \times 10^{-3}$, respectively. Especially, some typical ratios, which reflect the relative magnitudes of the predicted branching ratios, are given, i.e., for $\Upsilon(6S)\to \chi_{bJ}\phi$ transitions, $\mathcal{R}^\phi_{10}={\mathcal{B}[\Upsilon(6S) \to \chi_{b1} \phi]}/{\mathcal{B}[\Upsilon(6S) \to \chi_{b0} \phi]} \approx 0.74$, $\mathcal{R}^\phi_{20}= {\mathcal{B}[\Upsilon(6S) \to \chi_{b2} \phi]}/{\mathcal{B}[\Upsilon(6S) \to \chi_{b0} \phi]} \approx 3.28$, and $\mathcal{R}^\phi_{21} = {\mathcal{B}[\Upsilon(6S) \to \chi_{b2} \phi]}/{\mathcal{B}[\Upsilon(6S) \to \chi_{b1} \phi]} \approx 4.43$, and for $\Upsilon(6S)\to \chi_{bJ}\omega$ transitions, $\mathcal{R}^\omega_{10}={\mathcal{B}[\Upsilon(6S) \to \chi_{b1} \omega]}/{\mathcal{B}[\Upsilon(6S) \to \chi_{b0} \omega]} \approx 4.11$, $\mathcal{R}^\omega_{20}= {\mathcal{B}[\Upsilon(6S) \to \chi_{b2} \omega]}/{\mathcal{B}[\Upsilon(6S) \to \chi_{b0} \omega]} \approx 7.06$, and $\mathcal{R}^\omega_{21} = {\mathcal{B}[\Upsilon(6S) \to \chi_{b2} \omega]}/{\mathcal{B}[\Upsilon(6S) \to \chi_{b1} \omega]} \approx 1.72$. With the running of BelleII in the near future, experimental measurement of these two kinds of transitions will be a potential research issue., Comment: 10 pages, 10 figures and 1 table. Accepted by Eur. Phys. J. C

In this work, we investigate the hadronic loop contributions to the $��(6S) \to ��_{bJ} ��~(J=0,1,2)$ along with $��(6S) \to ��_{bJ} ��~(J=0,1,2)$ transitions. We predict that the branching ratios of $��(6S) \to ��_{b0} ��$, $��(6S) \to ��_{b1} ��$ and $��(6S) \to ��_{b2} ��$ are $(0.68 \sim 4.62) \times 10^{-6}$, $(0.50 \sim 3.43) \times 10^{-6}$ and $(2.22 \sim 15.18) \times 10^{-6}$, respectively and those of $��(6S) \to ��_{b0} ��$, $��(6S) \to ��_{b1} ��$ and $��(6S) \to ��_{b2} ��$ are $(0.15 \sim 2.81) \times 10^{-3}$, $(0.63 \sim 11.68) \times 10^{-3}$ and $(1.08 \sim 20.02) \times 10^{-3}$, respectively. Especially, some typical ratios, which reflect the relative magnitudes of the predicted branching ratios, are given, i.e., for $��(6S)\to ��_{bJ}��$ transitions, $\mathcal{R}^��_{10}={\mathcal{B}[��(6S) \to ��_{b1} ��]}/{\mathcal{B}[��(6S) \to ��_{b0} ��]} \approx 0.74$, $\mathcal{R}^��_{20}= {\mathcal{B}[��(6S) \to ��_{b2} ��]}/{\mathcal{B}[��(6S) \to ��_{b0} ��]} \approx 3.28$, and $\mathcal{R}^��_{21} = {\mathcal{B}[��(6S) \to ��_{b2} ��]}/{\mathcal{B}[��(6S) \to ��_{b1} ��]} \approx 4.43$, and for $��(6S)\to ��_{bJ}��$ transitions, $\mathcal{R}^��_{10}={\mathcal{B}[��(6S) \to ��_{b1} ��]}/{\mathcal{B}[��(6S) \to ��_{b0} ��]} \approx 4.11$, $\mathcal{R}^��_{20}= {\mathcal{B}[��(6S) \to ��_{b2} ��]}/{\mathcal{B}[��(6S) \to ��_{b0} ��]} \approx 7.06$, and $\mathcal{R}^��_{21} = {\mathcal{B}[��(6S) \to ��_{b2} ��]}/{\mathcal{B}[��(6S) \to ��_{b1} ��]} \approx 1.72$. With the running of BelleII in the near future, experimental measurement of these two kinds of transitions will be a potential research issue., 10 pages, 10 figures and 1 table. Accepted by Eur. Phys. J. C

There is a puzzle in the $\Lambda_c^+$ family, i.e., one member with $J^P=3/2^+$ is missing in a $L=2$ multiplet which the heavy quark effective theory predicts, and $J^P$'s of $\Lambda_c(2765)^+$ and $\Lambda_c(2940)^+$ are unknown. Using a light diquark picture to calculate baryon masses, we study possible assignments of two $\Lambda_c$'s with unknown $J^P$ and the missing $\Lambda_c^+$ with $3/2^+$ for $L=2$, and we find the most probable possibility that the peak corresponding to $\Lambda_c(2880)^+$ actually includes a missing member with spin $3/2^+$ for $L=2$ and that quantum numbers of $\Lambda_c(2765)^+$ and $\Lambda_c(2940)^+$ are $2S(1/2^+)$ and $2P(1/2^-)$, respectively., Comment: 3 pages, 3 tables

We study the observed $B^-\rightarrow X(3823)K^-$ decay via rescattering mechanism and show that this branching ratio is well reproduced by this mechanism. We further extend this theoretical framework to investigate the decays of $B^-\to\eta_{c2} (^1D_2)/\psi_3(^3D_3)K^-$, where the $\eta_{c2} (^1D_2)$ and the $\psi_3(^3D_3)$ are $D$-wave charmonium partners of the $X(3823)$. Our results show that the branching ratios, $B^-\to \eta_{c2}(^1D_2) K^-$ and $B^-\to \psi_3(^3D_3) K^-$, are of the order of $10^{-5}$, which can be accessible at LHCb, Belle and forthcoming BelleII., Comment: 9 pages, 2 figures. Accepted by Phys. Rev. D