Calculating charge radius for proton with hyper central interacting color potential

An improved M.I.T. bag model with hyper central interaction is used to calculate the charge radius for proton containing u and d quarks. We present a theoretical approach to the internal structure of three-body hyper central interacting quarks in a proton, in which we take proton as a bag. We discuss a few of results obtained using a six-dimension potential, which is attractive for small separation, originating from the color charge of hyper color term. We calculate the relativistic wave function for quarks in a scalar-vector hyper central potential, analytically. Finally, vanishing the normal component of vector current at the surface of the proton bag as a boundary condition equivalent to confinement. The calculated charge radius for proton is better than in the uncorrected versions of the model