Calculating charge radius for proton with hyper central interacting color potential

Abstract

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.

Keywords

• Dirac equation
• hyper central interaction
• color potential
• vector current
• charge radius