Electric quadrupole form factors of singly heavy baryons with spin 3/2

Abstract

We study the electromagnetic form factors of the lowest-lying singly heavy baryons in a pion mean-field approach, which is also known as the SU(3) chiral quark-soliton model. In the limit of the heavy-quark mass, the dynamics inside a singly heavy baryon is governed by the $N_c-1$ valence quarks, while the heavy quark remains as a mere static color source. In this framework, a singly heavy baryon is described by combining the colored soliton with the singly heavy quark. In the infinitely heavy-quark mass limit, we can compute the electric quadrupole form factors of the baryon sextet with spin 3/2 with the rotational $1/N_c$ and linear corrections of the explicit flavor SU(3) symmetry breaking taken into account. We find that the sea-quark contributions or the Dirac-sea level contributions dominate over the valence-quark contributions in lower $Q^2$ region. We examined the effects of explicit flavor SU(3) symmetry breaking in detail. The numerical results are also compared with the recent data from the lattice calculation with the unphysical value of the pion mass considered, which was used in the lattice calculation.

12 pages, 4 figures. Typos were removed

References in corpus (6)

• Electromagnetic excitation of the Delta(1232)-resonance
• Nucleon form-factors of the energy momentum tensor in the chiral quark-soliton model
• Pion mean fields and heavy baryons
• Strong force fields and stabilities of the nucleon and singly heavy baryon ${\Sigma }_c$
• Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Isospin mass differences of singly heavy baryons

Cited by in corpus (5)

• Electromagnetic transitions of the singly charmed baryons with spin 3/2
• Lattice QCD study of the elastic and transition form factors of charmed baryons
• Quark spin content of SU(3) light and singly heavy baryons
• Axial-vector transition form factors of the singly heavy baryons
• Medium modification of singly heavy baryons in a pion-mean field approach