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We calculate the weak transition form factors of the Λb→Λ(1520) transition, and further calculate the angular distributions of the rare decays Λb→Λ(1520)(→NK¯)ℓ+ℓ− (NK¯={pK−,nK¯0}) with unpolarized Λb and massive leptons. The form factors are calculated by the three-body light-front quark model with the support of numerical wave functions of Λb and Λ(1520) from solving the semirelativistic potential model associated with the Gaussian expansion method. By fitting the mass spectrum of the observed single bottom and charmed baryons, the parameters of the potential model are fixed, so this strategy can avoid the uncertainties arising from the choice of a simple harmonic oscillator wave function of the baryons. With more data accumulated in the LHCb experiment, our result can help for exploring the Λb→Λ(1520)ℓ+ℓ− decay and deepen our understanding on the b→sℓ+ℓ− processes.

We calculate the form factors of the Λb→Λc(2625) and Ξb→Ξc(2815) transitions, and additionally evaluate the corresponding semileptonic decays and the color-allowed two-body nonleptonic decays. In order to obtain the concerned form factors, we use the three-body light-front quark model with the support from baryon spectroscopy. In this work, as important physical inputs, the spatial wave functions of concerned baryons are obtained by the Gaussian expansion method with a semirelativistic potential model. For the semileptonic processes, the branching ratios of the electron and muon channels can reach up to the order of magnitude of 1%, where our result B(Λb0→Λc+(2625)μ−νμ)=(1.641±0.113)% is consistent with the current experimental data. As for the nonleptonic processes, the decays to π−, ρ−, and Ds(*)− final states have considerable widths. These discussed decay modes could be accessible at the LHCb experiment.

We calculate the form factors of the $\Lambda_b\to\Lambda_c(2625)$ and $\Xi_b\to\Xi_c(2815)$ transitions, and additionally evaluate the corresponding semileptonic decays and the color-allowed two-body nonleptonic decays. In order to obtain the concerned form factors, we use the three-body light-front quark model with the support from baryon spectroscopy. In this work, as important physical inputs, the spatial wave functions of concerned baryons are obtained by the Gaussian expansion method with a semirelativistic potential model. For the semileptonic processes, the branching ratios of the electron and muon channels can reach up to the order of magnitude of $1\%$, where our result $\mathcal{B}(\Lambda_b^0\to\Lambda_c^+(2625)\mu^-\nu_{\mu})=(1.641\pm0.113)\%$ is consistent with the current experimental data. As for the nonleptonic processes, the decays to $\pi^-$, $\rho^-$, and $D_s^{(*)-}$ final states have considerable widths. These discussed decay modes could be accessible at the LHCb experiment., Comment: 18 pages, 7 tables and 6 figures. More discussions added. Accepted by Phys. Rev. D

We calculate the weak transition form factors of the $\Lambda_b\to\Lambda(1520)$ transition, and further calculate the angular distributions of the rare decays $\Lambda_b\to\Lambda(1520)(\to N\bar{K})\ell^{+}\ell^{-}$ ($N\bar{K}=\{pK^-,n\bar{K}^0\}$) with unpolarized $\Lambda_b$ and massive leptons. The form factors are calculated by the three-body light-front quark model with the support of numerical wave functions of $\Lambda_b$ and $\Lambda(1520)$ from solving the semirelativistic potential model associated with the Gaussian expansion method. By fitting the mass spectrum of the observed single bottom and charmed baryons, the parameters of the potential model are fixed, so this strategy can avoid the uncertainties arising from the choice of a simple harmonic oscillator wave function of the baryons. With more data accumulated in the LHCb experiment, our result can help for exploring the $\Lambda_b\to\Lambda(1520)\ell^+\ell^-$ decay and deepen our understanding on the $b\to s\ell^+\ell^-$ processes., Comment: 21 pages, 9 figures. Accepted by Phys. Rev. D

In this work we investigate the ϒ(10753)→ϒ(1D3J)η (J=1, 2, 3) processes, where the ϒ(10753) is assigned as a conventional bottomonium under the 4S–3D mixing scheme. Our result shows that the concerned processes have considerable branching ratios, i.e., branching ratios B[ϒ(10753)→ϒ(1D31)η] and B[ϒ(10753)→ϒ(1D32)η] can reach up to the order of magnitude of 10−4–10−3, while B[ϒ(10753)→ϒ(1D33)η] is around 10−6–10−5. With the running of Belle II, it is a good opportunity for finding out the concerned hidden-bottom hadronic decays.

In this work, we investigate the $\Upsilon(10753)\to\Upsilon(1^3D_J)\eta$ ($J=1,2,3$) processes, where the $\Upsilon(10753)$ is assigned as a conventional bottomonium under the $4S$-$3D$ mixing scheme. Our result shows that the concerned processes have considerable branching ratios, {\it i.e.}, branching ratios $\mathcal{B}[\Upsilon(10753)\to\Upsilon(1^3D_{1})\eta]$ and $\mathcal{B}[\Upsilon(10753)\to\Upsilon(1^3D_{2})\eta]$ can reach up to the order of magnitude of $10^{-4}-10^{-3}$, while $\mathcal{B}[\Upsilon(10753)\to\Upsilon(1^3D_{3})\eta]$ is around $10^{-6}-10^{-5}$. With the running of Belle II, it is a good opportunity for finding out the concerned hidden-bottom hadronic decays., Comment: 7 pages, 2 figures and 1 table. arXiv admin note: text overlap with arXiv:2106.14123, arXiv:2201.12715

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

In this work, we calculate the branching ratios of the color-allowed two-body nonleptonic decays of the bottom baryons, which include the Ξb→Ξc(*) and Ωb→Ωc(*) weak transitions by emitting a pseudoscalar meson (π−, K−, D−, and Ds−) or a vector meson (ρ−, K*−, D*−, and Ds*−). For achieving this aim, we adopt the three-body light-front quark model with the support of hadron spectroscopy, where the spatial wave functions of these heavy baryons involved in these weak decays are obtained by a semirelativistic potential model associated with the Gaussian expansion method. Our results show that these decays with the π−, ρ−, and Ds(*)−-emitted mode have considerable widths, which could be accessible at the ongoing LHCb and Belle II experiments.

We calculate the weak transition form factors of the $Λ_b\toΛ(1520)$ transition, and further calculate the angular distributions of the rare decays $Λ_b\toΛ(1520)(\to N\bar{K})\ell^{+}\ell^{-}$ ($N\bar{K}=\{pK^-,n\bar{K}^0\}$) with unpolarized $Λ_b$ and massive leptons. The form factors are calculated by the three-body light-front quark model with the support of numerical wave functions of $Λ_b$ and $Λ(1520)$ from solving the semirelativistic potential model associated with the Gaussian expansion method. By fitting the mass spectrum of the observed single bottom and charmed baryons, the parameters of the potential model are fixed, so this strategy can avoid the uncertainties arising from the choice of a simple harmonic oscillator wave function of the baryons. With more data accumulated in the LHCb experiment, our result can help for exploring the $Λ_b\toΛ(1520)\ell^+\ell^-$ decay and deepen our understanding on the $b\to s\ell^+\ell^-$ processes., 21 pages, 9 figures. Accepted by Phys. Rev. D

We calculate the form factors of the $Λ_b\toΛ_c(2625)$ and $Ξ_b\toΞ_c(2815)$ transitions, and additionally evaluate the corresponding semileptonic decays and the color-allowed two-body nonleptonic decays. In order to obtain the concerned form factors, we use the three-body light-front quark model with the support from baryon spectroscopy. In this work, as important physical inputs, the spatial wave functions of concerned baryons are obtained by the Gaussian expansion method with a semirelativistic potential model. For the semileptonic processes, the branching ratios of the electron and muon channels can reach up to the order of magnitude of $1\%$, where our result $\mathcal{B}(Λ_b^0\toΛ_c^+(2625)μ^-ν_μ)=(1.641\pm0.113)\%$ is consistent with the current experimental data. As for the nonleptonic processes, the decays to $π^-$, $ρ^-$, and $D_s^{(*)-}$ final states have considerable widths. These discussed decay modes could be accessible at the LHCb experiment., 18 pages, 7 tables and 6 figures. More discussions added. Accepted by Phys. Rev. D

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

In this work, we investigate the $Υ(10753)\toΥ(1^3D_J)η$ ($J=1,2,3$) processes, where the $Υ(10753)$ is assigned as a conventional bottomonium under the $4S$-$3D$ mixing scheme. Our result shows that the concerned processes have considerable branching ratios, {\it i.e.}, branching ratios $\mathcal{B}[Υ(10753)\toΥ(1^3D_{1})η]$ and $\mathcal{B}[Υ(10753)\toΥ(1^3D_{2})η]$ can reach up to the order of magnitude of $10^{-4}-10^{-3}$, while $\mathcal{B}[Υ(10753)\toΥ(1^3D_{3})η]$ is around $10^{-6}-10^{-5}$. With the running of Belle II, it is a good opportunity for finding out the concerned hidden-bottom hadronic decays., 7 pages, 2 figures and 1 table. arXiv admin note: text overlap with arXiv:2106.14123, arXiv:2201.12715

In this work, we calculate the branching ratios of the color-allowed two-body nonleptonic decays of the bottom baryons, which include the $\Xi_b\to \Xi_c^{(*)}$ and $\Omega_b\to \Omega_c^{(*)}$ weak transitions by emitting a pseudoscalar meson ($\pi^{-}$, $K^{-}$, $D^{-}$, and $D_s^{-}$) or a vector meson ($\rho^{-}$, $K^{*-}$, $D^{*-}$, and $D_s^{*-}$). For achieving this aim, we adopt the three-body light-front quark model with the support of hadron spectroscopy, where the spatial wave functions of these heavy baryons involved in these weak decays are obtained by a semirelativistic potential model associated with the Gaussian expansion method. Our results show that these decays with the $\pi^-$, $\rho^-$, and $D_s^{(*)-}$-emitted mode have considerable widths, which could be accessible at the ongoing LHCb and Belle II experiments., Comment: 12 pages, 2 figures and 8 tables. Accepted by Phys. Rev. D

In this work, the branching ratio B[B→Kχc0(2P)] is extracted for the first time through the fit fractions in the newly measured B→KDD¯ process by LHCb. With the rescattering mechanism, this extracted branching ratio is reproduced well. Our study further enforces the role of the newly measured B→KDD¯ process to establish the χc0(2P) charmonium state, which is a crucial step when constructing the charmonium family.

In this work, we propose the 4S−3D mixing scheme to assign the ϒ(10753) into the conventional bottomonium family. Under this interpretation, we further study its hidden-bottom hadronic decays with a η(′) or ω emission, which include ϒ(10753)→ϒ(1S)η(′), ϒ(10753)→hb(1P)η, and ϒ(10753)→χbJω (J=0, 1, 2) processes. Since the ϒ(10753) is above the BB¯ threshold, the coupled-channel effect cannot be ignored; thus, when calculating partial decay widths of these ϒ(10753) hidden-bottom decays, we apply the hadronic loop mechanism. Our result shows that these discussed decay processes own considerable branching fractions with an order of magnitude of 10−4–10−3, which can be accessible at Belle II and other future experiments.

The semileptonic decays of Λb→Λc(*)ℓνℓ and Λc→Λ(*)ℓνℓ are studied in the light-front quark model in this work. Instead of the quark-diquark approximation, we use the three-body wave functions obtained by baryon spectroscopy. The ground states (1/2+), the λ-mode orbital excited states (1/2−), and the first radial excited states (1/2+) of Λ(c)(*) are considered. The discussions are given for the form factors, partial widths, branching fractions, leptonic forward-backward asymmetries, hadron polarizations, lepton polarizations, and the lepton flavor universalities. Our results are useful for the inputs of heavy baryon decays and understanding the baryon structures, and helpful for experimental measurements.

In this work, we propose the $4S$-$3D$ mixing scheme to assign the $\Upsilon(10753)$ into the conventional bottomonium family. Under this interpretation, we further study its hidden-bottom hadronic decays with a $\eta^{(\prime)}$ or $\omega$ emission, which include $\Upsilon(10753)\to\Upsilon(1S)\eta^{(\prime)}$, $\Upsilon(10753)\to h_{b}(1P)\eta$ and $\Upsilon(10753)\to\chi_{bJ}\omega$ ($J$=0,1,2) processes. Since the $\Upsilon(10753)$ is above the $B\bar{B}$ threshold, the coupled-channel effect cannot be ignored, thus, when calculating partial decay widths of these $\Upsilon(10753)$ hidden-bottom decays, we apply the hadronic loop mechanism. Our result shows that these discussed decay processes own considerable branching fractions with the order of magnitude of $10^{-4}\sim 10^{-3}$, which can be accessible at Belle II and other future experiments., Comment: 10 pages, 6 figures and 1 table. Accepted by Phys. Rev. D

In this work, the branching ratio $\mathcal{B}[B\to K\chi_{c0}(2P)]$ is extracted for the first time through the fit fractions in the newly measured $B\to KD\bar{D}$ process by LHCb. With the rescattering mechanism, this extracted branching ratio is reproduced well. Our study further enforces the role of the newly measured $B\to KD\bar{D}$ process to establish the $\chi_{c0}(2P)$ charmonium state, which is a crucial step when constructing charmonium family., Comment: 9 figures, 2 figures and 2 tables. Version for publication in Phys. Rev. D

The semileptonic decays of $\Lambda_{b}\to\Lambda_{c}^{(*)}\ell\nu_\ell$ and $\Lambda_{c}\to\Lambda^{(*)}\ell\nu_\ell$ are studied in the light-front quark model in this work. Instead of the quark-diquark approximation, we use the three-body wave functions obtained by baryon spectroscopy. The ground states $(1/2^{+})$, the $\lambda$-mode orbital excited states $(1/2^{-})$, and the first radial excited states $(1/2^{+})$ of $\Lambda_{(c)}^{(*)}$ are considered. The discussions are given for the form factors, partial widths, branching fractions, leptonic forward-backward asymmetries, hadron polarizations, lepton polarizations, and the lepton flavor universalities. Our results are useful for the inputs of heavy baryon decays and understanding the baryon structures, and helpful for experimental measurements., Comment: 17 pages, 9 tables and 6 figures

In this work, we calculate the branching ratios of the color-allowed two-body nonleptonic decays of the bottom baryons, which include the $��_b\to ��_c^{(*)}$ and $��_b\to ��_c^{(*)}$ weak transitions by emitting a pseudoscalar meson ($��^{-}$, $K^{-}$, $D^{-}$, and $D_s^{-}$) or a vector meson ($��^{-}$, $K^{*-}$, $D^{*-}$, and $D_s^{*-}$). For achieving this aim, we adopt the three-body light-front quark model with the support of hadron spectroscopy, where the spatial wave functions of these heavy baryons involved in these weak decays are obtained by a semirelativistic potential model associated with the Gaussian expansion method. Our results show that these decays with the $��^-$, $��^-$, and $D_s^{(*)-}$-emitted mode have considerable widths, which could be accessible at the ongoing LHCb and Belle II experiments., 12 pages, 2 figures and 8 tables. Accepted by Phys. Rev. D

The semileptonic decays of $��_{b}\to��_{c}^{(*)}\ell��_\ell$ and $��_{c}\to��^{(*)}\ell��_\ell$ are studied in the light-front quark model in this work. Instead of the quark-diquark approximation, we use the three-body wave functions obtained by baryon spectroscopy. The ground states $(1/2^{+})$, the $��$-mode orbital excited states $(1/2^{-})$, and the first radial excited states $(1/2^{+})$ of $��_{(c)}^{(*)}$ are considered. The discussions are given for the form factors, partial widths, branching fractions, leptonic forward-backward asymmetries, hadron polarizations, lepton polarizations, and the lepton flavor universalities. Our results are useful for the inputs of heavy baryon decays and understanding the baryon structures, and helpful for experimental measurements., 17 pages, 9 tables and 6 figures

In this work, we propose the $4S$-$3D$ mixing scheme to assign the $��(10753)$ into the conventional bottomonium family. Under this interpretation, we further study its hidden-bottom hadronic decays with a $��^{(\prime)}$ or $��$ emission, which include $��(10753)\to��(1S)��^{(\prime)}$, $��(10753)\to h_{b}(1P)��$ and $��(10753)\to��_{bJ}��$ ($J$=0,1,2) processes. Since the $��(10753)$ is above the $B\bar{B}$ threshold, the coupled-channel effect cannot be ignored, thus, when calculating partial decay widths of these $��(10753)$ hidden-bottom decays, we apply the hadronic loop mechanism. Our result shows that these discussed decay processes own considerable branching fractions with the order of magnitude of $10^{-4}\sim 10^{-3}$, which can be accessible at Belle II and other future experiments., 10 pages, 6 figures and 1 table. Accepted by Phys. Rev. D

In this work, the branching ratio $\mathcal{B}[B\to K��_{c0}(2P)]$ is extracted for the first time through the fit fractions in the newly measured $B\to KD\bar{D}$ process by LHCb. With the rescattering mechanism, this extracted branching ratio is reproduced well. Our study further enforces the role of the newly measured $B\to KD\bar{D}$ process to establish the $��_{c0}(2P)$ charmonium state, which is a crucial step when constructing charmonium family., 9 figures, 2 figures and 2 tables. Version for publication in Phys. Rev. D

This paper investigates the collaborative energy management problem for integrated energy system, where an asynchronous and dynamic event-triggering communication strategy based distributed gradient algorithm is proposed to solve this problem. By introducing external auxiliary variable and designing effective triggering mechanism, this method can enable each participant sharing information with neighbors in a discrete and asynchronous communication fashion if only necessary. In this way, the continuous algorithm can be implemented in a discrete communication fashion. Meanwhile, this method does not rely on global clock synchronization, resulting in enhanced flexibility. In addition, the global convergence of the proposed algorithm is also proved in theory. Finally, the simulation results show the effectiveness of the proposed method.