Negative Energy Bound States in Relativistic Mean Field Theory

We study the negative energy bound states of a nucleus utilizing the relativistic mean field theory for different parameter sets. It is found that for the TM1 parameter set, the depth of the negative-energy potential is small as compared to the NL-1, NL-SH and NL-Z parameter sets. The high density scenario in the mean field theory is achieved by a scaling procedure for the density and radius. The production of antibaryon clusters is predicted for very high density and temperature and its possible experimental investigation is also addressed.