Radiative $\hat{I}{\text{c◯}}_Q^{\ast }\to \hat{I}{\text{c◯}}_Q{\hat{I}}^3$ and $\hat{I}{ž}_Q^{\ast }\to \hat{I}{ž}_Q^{\prime }{\hat{I}}^3$ transitions in light cone QCD

Abstract

We calculate the magnetic dipole and electric quadrupole moments associated with the radiative $\hat{I}{\text{c◯}}_Q^{\ast }\to \hat{I}{\text{c◯}}_Q{\hat{I}}^3$ and $\hat{I}{ž}_Q^{\ast }\to \hat{I}{ž}_Q^{\prime }{\hat{I}}^3$ transitions with $Q=b$ or $c$ in the framework of light cone QCD sum rules. It is found that the corresponding quadrupole moments are negligibly small while the magnetic dipole moments are considerably large. A comparison of the results on the considered multipole moments as well as corresponding decay widths with the predictions of the vector dominance model is performed.

18 Pages, 12 Figures and 4 Tables