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The magnetic dipole moments of the Zc(4020)+, Zc(4200)+, Zcs(4000)+ and Zcs(4220)+ states are extracted in the framework of the light-cone QCD sum rules. In the calculations, we use the hadronic molecular form of interpolating currents and photon distribution amplitudes to get the magnetic dipole moments of the Zc(4020)+, Zc(4200)+, Zcs(4000)+ and Zcs(4220)+ tetraquark states. The magnetic dipole moments are obtained as μZc=0.66−0.25+0.27, μZc1=1.03−0.29+0.32, μZcs=0.73−0.26+0.28 and μZcs1=0.77−0.25+0.27 for the Zc(4020)+, Zc(4200)+, Zcs(4000)+ and Zcs(4220)+ states, respectively. We observe that the results obtained for the Zc(4020)+, Zc(4200)+, Zcs(4000)+ and Zcs(4220)+ states are large enough to be measured experimentally. As a by product, we predict the magnetic dipole moments of the neutral Zcs(4000) and Zcs(4220) states. The results presented here can serve to be helpful knowledge in experimental as well as theoretical studies of the properties of hidden-charm tetraquark states with and without strangeness.

In this work, we employ the light-cone QCD sum rule to calculate the magnetic dipole moments of the $$P_c(4440)$$ P c ( 4440 ) , $$P_c(4457)$$ P c ( 4457 ) and $$P_{cs}(4459)$$ P cs ( 4459 ) pentaquark states by considering them as the diquark–diquark–antiquark and molecular pictures with quantum numbers $$J^P = \frac{3}{2}^-$$ J P = 3 2 - , $$J^P = \frac{1}{2}^-$$ J P = 1 2 - and $$J^P = \frac{1}{2}^-$$ J P = 1 2 - , respectively. In the analyses, we use the diquark–diquark–antiquark and molecular form of interpolating currents, and photon distribution amplitudes to obtain the magnetic dipole moment of pentaquark states. Theoretical examinations on magnetic dipole moments of the hidden-charm pentaquark states, are essential as their results can help us better figure out their substructure and the dynamics of the QCD as the theory of the strong interaction. As a by product, we extract the electric quadrupole and magnetic octupole moments of the $$P_c(4440)$$ P c ( 4440 ) pentaquark. These values show a non-spherical charge distribution.

The magnetic dipole moments of the ${Z}_{c}\left(4020{\right)}^{+}$, ${Z}_{c}\left(4200{\right)}^{+}$, ${Z}_{cs}\left(4000{\right)}^{+}$ and ${Z}_{cs}\left(4220{\right)}^{+}$ states are extracted in the framework of the light-cone QCD sum rules. In the calculations, we use the hadronic molecular form of interpolating currents and photon distribution amplitudes to get the magnetic dipole moments of the ${Z}_{c}\left(4020{\right)}^{+}$, ${Z}_{c}\left(4200{\right)}^{+}$, ${Z}_{cs}\left(4000{\right)}^{+}$ and ${Z}_{cs}\left(4220{\right)}^{+}$ tetraquark states. The magnetic dipole moments are obtained as ${\mu }_{{Z}_{c}}=0.6{6}_{-0.25}^{+0.27}$, ${\mu }_{{Z}_{c}^{1}}=1.0{3}_{-0.29}^{+0.32}$, ${\mu }_{{Z}_{cs}}=0.7{3}_{-0.26}^{+0.28}$ and ${\mu }_{{Z}_{cs}^{1}}=0.7{7}_{-0.25}^{+0.27}$ for the ${Z}_{c}\left(4020{\right)}^{+}$, ${Z}_{c}\left(4200{\right)}^{+}$, ${Z}_{cs}\left(4000{\right)}^{+}$ and ${Z}_{cs}\left(4220{\right)}^{+}$ states, respectively. We observe that the results obtained for the ${Z}_{c}\left(4020{\right)}^{+}$, ${Z}_{c}\left(4200{\right)}^{+}$, ${Z}_{cs}\left(4000{\right)}^{+}$ and ${Z}_{cs}\left(4220{\right)}^{+}$ states are large enough to be measured experimentally. As a by product, we predict the magnetic dipole moments of the neutral ${Z}_{cs}\left(4000\right)$ and ${Z}_{cs}\left(4220\right)$ states. The results presented here can serve to be helpful knowledge in experimental as well as theoretical studies of the properties of hidden-charm tetraquark states with and without strangeness.

Zc(3900) parçacığının D(D^* ) ̅ ve D^* D ̅ molekül yapısında ve JPC = 1+− kuantum sayılarına sahip olduğu varsayılarak manyetik momenti Işık konisi KRD toplam kuralları kullanılarak elde edilmiştir. Manyetik moment parçacıkların geometrik konfigürasyonu ve içyapısı hakkında önemli bilgiler içermektedir. Gelecekteki deneylerde Zc(3900) rezonansının manyetik momentinin ölçülmesi, egzotik rezonansların iç organizasyonunu anlamak için oldukça yararlı olabilir. Bu çalışmada elde edilen sonuçlar ile literatürde var olan farklı modeller kullanılarak elde edilen sonuçların karşılaştırılması yapılmıştır., Employing light-cone QCD sum rule, we have acquired the magnetic moment of the Zc(3900) resonance by considering it as the molecular form of D(D^* ) ̅ and D^* D ̅ resonance with quantum numbers JPC = 1+−. The magnetic moment contains crucial knowledge about the internal organization of particles and their geometric configuration. Measurement of the magnetic moment of the Zc(3900) resonance in future experiments can be quite useful comprehension the inner organization of exotic resonances. A comparison of our numerical values on the magnetic moment with those estimated by the other theoretical models existing in literature is carried out.

We have applied isovector and isoscalar tensor current to evaluate the tensor form factors of the N(1535)→N transition with the help of the light-cone QCD sum rule method. In numerical computations, have used the most general forms of the interpolating current for the nucleon and the tensor current together with two different sets of the input parameters in the distribution amplitudes (DAs) of the N(1535) state. We have obtained that the values of N(1535)→N transition tensor form factors are very sensitive to the input parameters of the DAs of the N(1535) state. We have acquired that the Q2 dependence of N(1535)→ transition tensor form factors is well defined by a p-pole fit function.

We have applied isovector and isoscalar tensor current to evaluate the tensor form factors of the $N\left(1535\right)\to N$ transition with the help of the light-cone QCD sum rule method. In numerical computations, have used the most general forms of the interpolating current for the nucleon and the tensor current together with two different sets of the input parameters in the distribution amplitudes (DAs) of the $N\left(1535\right)$ state. We have obtained that the values of $N\left(1535\right)\to N$ transition tensor form factors are very sensitive to the input parameters of the DAs of the $N\left(1535\right)$ state. We have acquired that the ${Q}^{2}$ dependence of $N\left(1535\right)\to $ transition tensor form factors is well defined by a $p$-pole fit function.

Hafif baryon yapı faktörleri ışık konisi KRD toplam kuralları çerçevesinde incelenmiştir. Özellikle Σ ve Λ baryonlarının dağılım genlikleri ifadelerinin en yeni hali dikkate alınmıştır. N-Δ, Δ-Δ, Σ-Σ*, Ξ-Ξ* ve Λ-Σ* geçişlerinin aksiyal yapı faktörleri ve Δ-Δ geçişinin sözdeskaler yapı faktörleri hesaplanmıştır. Ayrıca, tensör yapı faktörler baryonların özelliklerinin belirlenmesinde önemli parametrelerdendir. Bu nedenle, Σ-Σ,Ξ-Ξ ve Λ-Σ geçişlerinin tensör yapı faktörleri hesaplanmıştır. The form factors of baryons within the framework of Light-cone QCD Sum Rules are investigated. In particular, we consider the most recent version of the Σ and Λ baryons distribution amplitudes are taken into account. The axial form factors of N-Δ, Δ-Δ, Σ-Σ*,Ξ-Ξ* and Λ-Σ* transitions and also the pseudoscalar form factors of Δ-Δ transition are computed. Besides, the tensor form factors are one of the main parameters that characterize the properties of the baryons. Therefore, the tensor form factors of the Σ-Σ, Ξ-Ξ and Λ-Σ transitions are calculated. 119