Gl. Strobel et Kv. Shitikova, IOFFE CURRENT CONSTANT OF THE ROPER RESONANCE FROM A RELATIVISTIC 3 QUARK-MODEL, Physical review. C. Nuclear physics, 56(1), 1997, pp. 551-553
The Ioffe current constants for the proton and Roper resonance are eva
luated using a linear confining potential model parametrized to reprod
uce the proton magnetic moment, spin, and energy. The three-body Dirac
equation, for the (1/2(+))(3) positive parity configuration, is solve
d in hypercentral approximation. Quark masses of the order of 9 MeV ar
e needed to reproduce the proton magnetic moment. When the proton rms
charge radius and magnetic moment are reproduced, the Roper has an Iof
fe coupling constant about 25% larger than the proton.