Abstract

We calculate the magnetic dipole and electric quadrupole moments associated with the radiative $$\Omega _{Q}^{*}\rightarrow \Omega _{Q}\gamma $$ and $$\Xi _{Q}^{*}\rightarrow \Xi ^{\prime }_{Q}\gamma $$ 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 of the considered multipole moments as well as corresponding decay widths with the predictions of the vector dominance model is performed.

Highlights

  • In the recent years, there has been significant experimental progress on hadron spectroscopy

  • On the operator product expansion (OPE) side, the aforementioned correlation function is calculated in terms of the QCD degrees of freedom and photon distribution amplitudes (DAs)

  • In order to obtain the sum rules for the form factors G1 and G2, we equate the coefficients of the structures ε pγ5qμ and q pγ5(εp)qμ from both hadronic and OPE representations of the same correlation function

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Summary

Introduction

There has been significant experimental progress on hadron spectroscopy. In the case of doubly heavy baryons only the doubly charmed cc baryon has been discovered by SELEX Collaboration [1,2] but the experimental attempts on the identification of other members of the doubly baryons as well as triply heavy baryons predicted by quark model are continued. Considering this progress and the facilities of experiments specially at LHC, it would be possible to study the decay properties of heavy baryons in the near future. This section includes a comparison of our results with the predictions of VDM on the multipole moments as well as the corresponding decay widths

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Hadronic side
OPE side
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Numerical results
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