  In this paper, we solve the eigen solutions and mass strectra of the Dirac
equation with local parabolic potential which is approximately equal to the
short distance potential generated by spinor itself. The mass spectrum is quite
different from that of a spinor in Coulomb potential. The masses of some
baryons are similar to this one. The mass-angular momentum relation $m=m(J,n)$
is quite similar to the Regge trajectories. The parabolic potential has
property of asymptotic freedom near the center and confinement at large
distance. So the results imply that, the local parabolic potential may be more
suitable for describing nuclear potential approximately. The solving procedure
can also be used to solve the Dirac equation with other complicated potential.
