Electromagnetic form factors of singly heavy baryons in the self-consistent SU(3) chiral quark-soliton model

Abstract

The self-consistent chiral quark-soliton model is a relativistic pion mean-field approach in the large $N_c$ limit, which describes both light and heavy baryons on an equal footing. In the limit of the infinitely heavy mass of the heavy quark, a heavy baryon can be regarded as $N_c-1$ valence quarks bound by the pion mean fields, leaving the heavy quark as a color static source. The structure of the heavy baryon in this scheme is mainly governed by the light-quark degrees of freedom. Based on this framework, we evaluate the electromagnetic form factors of the lowest-lying heavy baryons. The rotational $1/N_c$ and strange current quark mass corrections in linear order are considered. We discuss the electric charge and magnetic densities of heavy baryons in comparison with those of the nucleons. The results of the electric charge radii of the positive-charged heavy baryons show explicitly that the heavy baryon is a compact object. The electric form factors are presented. The form factor of ${\Sigma }_c^{++}$ is compared with that from a lattice QCD. We also discuss the results of the magnetic form factors. The magnetic moments of the baryon sextet with spin 1/2 and the magnetic radii are compared with other works and the lattice data.

arXiv comment21 pages, 13 figures. The version which will appear in Physical Review D

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• Investigating the M1 radiative decay behaviors and the magnetic moments of the predicted triple-charm molecular-type pentaquarks
• Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Quark spin content of SU(3) light and singly heavy baryons
• Molecular nature of the $a_1$(1260) axial-vector meson
• Electric quadrupole form factors of singly heavy baryons with spin 3/2
• The electromagnetic form factors of ${\Lambda }_c$ hyperon in the vector meson dominance model
• Production mechanism of hidden-charm pentaquark states $P_{c\bar{c}s}$ with strangeness $S=-1$
• Pion mass dependence of the electromagnetic form factors of singly heavy baryons
• Axial-vector transition form factors of the singly heavy baryons
• Heavy baryon decay widths in the large $N_c$ limit in chiral theory
• Triple-strangeness hidden-charm pentaquarks
• Medium modification of singly heavy baryons in a pion-mean field approach
• Structure of heavy baryons in a pion mean-field approach
• Light-cone distribution amplitudes of the nucleon and $\Delta$ baryon