Electromagnetic form factors of nucleons in a relativistic square-root potential model of independent quarks

The nucleon electromagnetic form factors G(E)(P)(q(2)), G(M)(P)(q(2)) and the axial-vector form factor G(A)(q(2)) are studied in a relativistic model of independent quarks confined by an equally mixed scalar-vector square root potential V-q(r) = 1/2 (1 + y(0)) (ar(1/2) + upsilon(0)) taking into account appropriate centre-of-mass corrections. The respective root-mean-square radii associated with G(E)(P)(q(2)) and G(A)(q(2)) come out as [[r(2)](P)(E)](1/2) = 0.86 fm and [r(A)(2)](1/2) = 0.88 fm. Restoration of chiral symmetry in this model is discussed to derive the pion-nucleon form factor G(pi NN)(q(2)) and consequently the pion-nucleon coupling constant is obtained as g(pi NN) = 12.81 as compared to (g(pi NN))exp similar or equal to 13.