$E2/M1$ Ratio for the $γN\rightarrow Δ$ Transition in the Chiral Quark Soliton Model

Details $E2/M1$ Ratio for the $γN\rightarrow Δ$ Transition in the Chiral Quark Soliton Model $E2/M1$ Ratio for the $γN\rightarrow Δ$ Transition in the Chiral Quark Soliton Model

1995-02-07

arxiv.org/abs/hep-ph/9502244v1

Phys.Lett. B349 (1995) 197-203

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, revtex, a figure included as a postscript file

Scientific paper

10.1016/0370-2693(95)00227-C

We calculate the electric quadrupole to magnetic dipole transition ratio $E2/M1$ for the reaction $\gamma N \ra \Delta(1232)$ 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.

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