Electromagnetic transition form factors, E2/M1 and C2/M1 ratios of the baryon decuplet
June-Young Kim, Hyun-Chul Kim
Abstract
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 $$Q^2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mi>Q</mml:mi> <mml:mn>2</mml:mn> </mml:msup> </mml:math> dependence of the electromagnetic $$N\rightarrow \Delta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>→</mml:mo> <mml:mi>Δ</mml:mi> </mml:mrow> </mml:math> transition form factors and the ratios of E 2/ M 1 and C 2/ M 1 in comparison with the experimental and empirical data. In order to compare the present results of the electromagnetic transition form factors of the $$N\rightarrow \Delta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>→</mml:mo> <mml:mi>Δ</mml:mi> </mml:mrow> </mml:math> with those from lattice QCD, we evaluate the form factors with the pion mass deviated from its physical value. The results of the E 2/ M 1 and C 2/ M 1 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.