Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking

Abstract

We investigate the electromagnetic form factors of the baryon decuplet within the framework of the $\mathrm{SU}(3)$ self-consistent chiral quark-soliton model, taking into account the $1/N_c$ rotational corrections and the effects of flavor $\mathrm{SU}(3)$ symmetry breaking. We first examine the valence- and sea-quark contributions to each electromagnetic form factor of the baryon decuplet and then the effects of the flavor SU(3) symmetry breaking. The present results are in good agreement with the recent lattice data. We also compute the charge radii, the magnetic radii, the magnetic dipole moments and the electric quadrupole moments, comparing their results with those from other theoretical works. We also make a chiral extrapolation to compare the present results with the lattice data in a more quantitative manner. The results show in general similar tendency to the lattice results. In particular, the results of the $M1$ and $E2$ form factors are in good agreement with those of lattice QCD.

arXiv comment29 pages, 15 figures. Comparison with the lattice data was elaborated

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• Electromagnetic transitions of the singly charmed baryons with spin 3/2
• Gravitational form factors of the baryon octet with flavor SU(3) symmetry breaking
• Electromagnetic form factors of the ${\Omega }^{-}$ baryon in the spacelike and timelike regions
• Axial-vector form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• Electromagnetic transition form factors, $E2/M1$ and $C2/M1$ ratios of the baryon decuplet
• Electric quadrupole form factors of singly heavy baryons with spin 3/2
• Two-dimensional charge distributions of the $\Delta$ baryon: Interpolation between the nonrelativistic and ultrarelativistic limit
• $\Delta$-baryon axialvector and pseudoscalar form factors, and associated PCAC relations
• Axial-vector transition form factors of the baryon octet to the baryon decuplet with flavor SU(3) symmetry breaking
• Radiative pion photoproduction in covariant chiral perturbation theory
• Structure of the $\Omega$ baryon and the kaon cloud