RELATIVISTIC QUARKS BOUND WITH A ONE-BODY TENSOR POTENTIAL

A dipole fit to electromagnetic form factors is used to determine a quark density rho in the nucleon. A radial tenser potential is used to bind the quarks into states of good J, J(Z), and parity. The tenser potential radial component is taken to satisfy the equation T' = T-0 rho, where T-0 is a parameter of the model. This linear divergence equation can be simultaneously solved with the Dirac equation for the bound quark wave functions. A self-consistent solution is possible where the mass density used as the source for the binding potential is the same as that determined from the solution for the quark wave functions.