Magnetic dipole moments of bottom-charm baryons in light-cone QCD

The magnetic dipole moments of the doubly-heavy baryons include significant data on their inner structure and geometric shape. Moreover, understanding the electromagnetic properties of doubly-heavy baryons is the key to confinement and heavy flavor effects. Inspired by this, we extract the magnetic dipole moments of the spin-$$\frac{1}{2}$$ bottom-charm baryons utilizing the QCD light-cone sum rule with considering the distribution amplitudes of the photon. The magnetic dipole moments are obtained as $$\mu _{\Xi _{bc}^{+}} = -0.50^{+0.14}_{-0.12}~\mu _{N}$$, $$\mu _{\Xi _{bc}^{0}} = 0.39^{+0.06}_{-0.05}~\mu _{N}$$ and $$\mu _{\Omega _{bc}^{0}} = 0.38^{+0.05}_{-0.04} ~\mu _{N}$$, $$\mu _{\Xi _{bc}^{\prime +}} = 0.57^{+0.13}_{-0.12}~\mu _{N}$$, $$\mu _{\Xi _{bc}^{\prime 0}} =-0.29^{+0.07}_{-0.06}~\mu _{N}$$ and $$\mu _{\Omega _{bc}^{\prime 0}} = -0.26^{+0.06}_{-0.05}~\mu _{N}$$. Comparing the results obtained on the magnetic dipole moments of the $$\Omega ^{(\prime )0}_{bc}$$ baryon with those of the $$\Xi ^{(\prime )0}_{bc}$$ baryon, the U-symmetry is minimally broken. We have compared our results with other theoretical predictions that could be a useful complementary tool for the interpretation of the doubly-heavy baryon sector, and we observe that they are not in mutual agreement with each other

Magnetic dipole moments of the hidden-charm pentaquark states:

In this work, we employ the light-cone QCD sum rule to calculate the magnetic dipole moments of the $$P_c(4440)$$, $$P_c(4457)$$ and $$P_{cs}(4459)$$ pentaquark states by considering them as the diquark–diquark–antiquark and molecular pictures with quantum numbers $$J^P = \frac{3}{2}^-$$, $$J^P = \frac{1}{2}^-$$ and $$J^P = \frac{1}{2}^-$$, 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 $$P_c(4440)$$ pentaquark. These values show a non-spherical charge distribution

Magnetic moments of pentaquark states in light-cone sum rules

In this study, the light-cone sum rule method is used to compute the magnetic moments of the hidden-charm pentaquark states by taking them into consideration as the compact pentaquark states with quantum number $$J^P = \frac{1}{2}^-$$. We have obtained not only the observed hidden-charm pentaquark states, but also the magnetic moments of the hidden-charm pentaquark states that are likely to be observed. In the analyses, we employ the axialvector–diquark–axialvector–diquark–antiquark and axialvector–diquark–scalar–diquark–antiquark forms of interpolating currents, and distribution amplitudes of the photon to get the magnetic moments of hidden-charm pentaquark states. The numerical results of the magnetic moment acquired employing the different configurations are rather different from each other, this means that there is more than one pentaquark with the same quark content and different magnetic moments

Magnetic dipole moments of the spin-

The magnetic dipole moments of the spin-$$\frac{3}{2}$$ doubly charmed, bottom and charmed-bottom baryons are obtained by means of the light-cone QCD sum rule. The magnetic dipole moments of these baryons encode essential knowledge of their inner structure and shape deformations. The numerical results are given by $$\mu _{\Xi _{cc}^{*++}} = 2.94 \pm 0.95$$, $$\mu _{\Xi _{cc}^{*+}} = - 0.67 \pm 0.11$$, $$\mu _{\Omega _{cc}^{*+}} =- 0.52 \pm 0.07$$, $$\mu _{\Xi _{bb}^{*0}} = 2.30 \pm 0.55$$, $$\mu _{\Xi _{bb}^{*-}} = -1.39 \pm 0.32$$, $$\mu _{\Omega _{bb}^{*-}} = -1.56 \pm 0.33$$, $$\mu _{\Xi _{bc}^{*+}} = 2.63 \pm 0.82$$, $$\mu _{\Xi _{bc}^{*0}} = - 0.96 \pm 0.32$$ and $$\mu _{\Omega _{bc}^{*+}} =- 1.11 \pm 0.33$$, respectively

The electromagnetic multipole moments of the charged open-flavor Z((c)over-barq) states

Azizi, Kazem (Dogus Author)The electromagnetic multipole moments of the open-flavor Z (c) over barq states are investigated by assuming a diquark-antidiquark picture for their internal structure and quantum numbers J(PC) = 1(+-) for their spin-parity. In particular, their magnetic and quadrupole moments are extracted in the framework of light-cone QCD sum rule by the help of the photon distribution amplitudes. The electromagnetic multipole moments of the open-flavor Z (c) over barq states are important dynamical observables, which encode valuable information on their underlying structure. The results obtained for the magnetic moments of different structures are considerably large and can be measured in future experiments. We obtain very small values for the quadrupole moments of Z (c) over barq states indicating a nonspherical charge distribution

Magnetic dipole moment of Z(b)(10610) in light-cone QCD

Azizi, Kazem (Dogus Author) -- Özdem, Ulaş (Dogus Author)The magnetic dipole moment of the exotic Z(b)(10610) state is calculated within the light cone QCD sum rule method using the diquark-antidiquark and molecule interpolating currents. The magnetic dipole moment is obtained as mu(Zb) = 1.73 +/- 0.63 mu(N) in diquark-antidiquark picture and mu(Zb) = 1.59 +/- 0.58 mu(N) in the molecular case. The obtained results in both pictures together with the results of other theoretical studies on the spectroscopic parameters of the Zb(10610) state may be useful in determination of the nature and quark organization of this state

Magnetic and quadrupole moments of the Z(c)(3900)

Azizi, Kazem (Doğuş Author)The electromagnetic properties of the tetraquark state Z(c)(3900) are investigated in the diquark-antidiquark picture and its magnetic and quadrupole moments are extracted. To this end, the light-cone QCD sum rule in electromagnetic background field is used. The magnetic and quadrupole moments encode the spatial distributions of the charge and magnetization in the particle. The result obtained for the magnetic moment is quite large and can be measured in future experiments. We obtain a nonzero but small value for the quadrupole moment of Z(c)(3900) indicating a nonspherical charge distribution