Relativistic description of exotic nuclei and nuclear matter at extreme conditions

Abstract

Recent works on the relativistic description of exotic nuclei and nuclear matter at extreme conditions are reviewed. New parameter sets for the Lagrangian density in the relativistic mean field (RMF) theory, PK1, PK1r, and PKDD are proposed with the center-of-mass correction included in a microscopic way. The density-dependences of effective interactions in RMF for nuclear matter and neutron stars are discussed. They are able to provide an excellent description not only for the properties of nuclear matter and neutron stars, but also for the nuclei near or far from the beta-stability line, including halos and giant halos at the neutron drip line in nuclei and hypernuclei. As a step toward the investigation of deformed nuclei close to the drip line, the Woods-Saxon basis has been suggested to replace the widely used harmonic oscillator basis for solving the RMF equations. Based on the two-neutron separation energy, shell correction energy, and effective pairing gaps, etc., new magic numbers for superheavy nuclei are suggested.