Eur. Phys. J. C (2020) 80: 1087
https://doi.org/10.1140/epjc/s10052-020-08657-6

Regular Article – Theoretical Physics

Electromagnetic transition form factors, E2/M1 and C2/M1 ratios of the baryon decuplet

¹ Institut für Theoretische Physik II, Ruhr-Universität Bochum, 44780, Bochum, Germany
² Department of Physics, Inha University, Incheon, 22212, Republic of Korea
³ School of Physics, Korea Institute for Advanced Study (KIAS), Seoul, 02455, Republic of Korea

^* e-mail: hchkim@inha.ac.kr

Received: 25 September 2020
Accepted: 10 November 2020
Published online: 24 November 2020

Abstract

We investigate the electromagnetic transition form factors of the baryon decuplet to the baryon octet, based on the self-consistent SU(3) chiral quark-soliton model, taking into account the effects of explicit breaking of flavor SU(3) symmetry. We emphasize the $$Q^2$$ dependence of the electromagnetic $$N\rightarrow \Delta $$ transition form factors and the ratios of E2/M1 and C2/M1 in comparison with the experimental and empirical data. In order to compare the present results of the electromagnetic transition form factors of the $$N\rightarrow \Delta $$ with those from lattice QCD, we evaluate the form factors with the pion mass deviated from its physical value. The results of the E2/M1 and C2/M1 ratios are in good agreement with the lattice data. We also present the results of the electromagnetic transition form factors for the decuplet to the octet transitions.