Nuclear symmetry energy for A=48 isobars in relativistic mean field theory

Recently it was found that the nuclear symmetry energy can be directly associated with the mean level density and an iso-vector potential. In this paper, the nuclear symmetry energy is studied within the relativistic mean field (RMF) theory. The potential of the RMF theory can be separated into an isovector and isoscalar components. The nuclear binding energies in A = 48 isobaric chain calculated from RMF theory with or without the isovector terms for effective interactions PK1, NLSH, NL3, and TM1 have been used to analyze the nuclear symmetry energy in detail, i.e., mean level spacing epsilon and the effective isovector potential strength K.