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 Nc 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 Nc − 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/Nc 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 Σ ++ 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.

Radiative transitions and magnetic moments of the charmed and bottom vector mesons in chiral perturbation theory

“…As a byproduct, the full widths ofD Ã0 and D Ã− s are estimated to be 77.7 þ26.7 −20.5 keV and 0.62 þ0. 45 −0.50 keV, respectively. In this work, we also calculate the magnetic moments of the D Ã and B Ã mesons.…”

“…Here, we adopt the SU(3) chiral perturbation theory (χPT) to investigate the radiative decay properties and magnetic moments of the D Ã and B Ã mesons. The framework of χPT has been widely used to study the radiative decays and magnetic moments of the charmed and bottom vector mesons 1 [28][29][30][31], the octet baryons [34,35], the doubly charmed and bottom heavy baryons [36][37][38][39], and the singly heavy baryons [40][41][42][43], as well as the related chiral quark-soliton model for singly heavy baryons [44,45]. In our calculations, we construct the effective Lagrangians with chiral symmetry and heavy quark symmetry up to Oðp 4 Þ.…”

Electromagnetic form factors of octet baryons with the nonlocal chiral effective theory

“…Theoretically, though QCD is the fundamental theory to describe strong interactions, it is difficult to study hadron physics using QCD directly. There are many phenomenological models, such as the cloudy bag model [5], the constituent quark model [6], the 1/Nc expansion approach [7], the Nambu-Jona-Lasino (NJL) model [8], the perturbative chiral quark model (PCQM) [9], the extended vector meson dominance model [10], the SU(3) chiral quark model [11], the quark-diquark model [12], and so on. These model calculations are helpful to provide the physical scenario for the hadron structure.…”

Heavy baryon decay widths in the large $$N_c$$ N c limit in chiral theory

“…In Refs. [3,4,17] a phenomenological analysis of heavy baryon properties has been performed in the framework of the χ QSM (see also [18][19][20]). It turned out that all decay widths have been very well reproduced [4], also the two narrowest ones of the putative pentaquarks.…”