$E2/M1$ Ratio for the $\gamma N\to \Delta$ Transition in the Chiral Quark Soliton Model

Abstract

We calculate the electric quadrupole to magnetic dipole transition ratio $E2/M1$ for the reaction $γN \ra Δ(1232)$ in the chiral quark soliton model. The calculated $E2/M1$ ratio is in a good agreement with the very new experimental data. We obtain non-zero negative value for the electric quadrupole $N-\Delta$ transition moment, which suggests an oblate deformed charge structure of the nucleon or/and the delta isobar. Other observables related to this quantity, namely the $N-\Delta$ mass splitting, the isovector charge radius, and isovector magnetic moment, are properly reproduced as well.

arXiv comment11 pages, revtex, a figure included as a postscript file

References in corpus (2)

• $1/N_c$ Rotational Corrections to $g_A$ and Isovector Magnetic Moment of the Nucleon
• Baryons in Effective Chiral Quark Models with Polarized Dirac Sea

Cited by in corpus (10)

• Electromagnetic excitation of the Delta(1232)-resonance
• Baryons as non-topological chiral solitons
• The role of the pion cloud in electroproduction of the $\Delta$(1232)
• Electromagnetic properties of the Delta(1232) and decuplet baryons in the self-consistent SU(3) chiral quark-soliton model
• HYPERON RADIATIVE DECAYS IN THE BOUND STATE SOLITON MODEL
• Electromagnetic form factors of the baryon decuplet with flavor SU(3) symmetry breaking
• The electroproduction of the $\Delta$(1232) in the chiral quark-soliton model
• $\Delta$(1232) electroproduction amplitudes in chiral soliton models of the nucleon
• Electromagnetic transition form factors, $E2/M1$ and $C2/M1$ ratios of the baryon decuplet
• Axial-vector transition form factors of the baryon octet to the baryon decuplet with flavor SU(3) symmetry breaking