RMF+SLAP Approach Studies The Properties Of Carbon Isotopes

The relativistic mean field (RMF) theory is one of the most useful microscopic models due to its success in describing many nuclear Phenomena for the stable nuclei as well as nuclei even far from stability. It has been shown that the relativistic mean field can reproduce better the nuclear saturation properties in nuclear matter and give naturally the spin-orbit potential, the origin of the pseudo-spin symmetry etc.Pairing correlations play an important role in nuclear physics, and it is essential factor for odd-even effect in many physical variable of nuclei. How to treat the pairing correlations has received a renew attention. Usually, the pairing correlation is treated by using the Bardeen-cooper -Schrieffer (BCS) approximation and Bogoliubov transformation as standard method in the nuclear physics literatures. However, this method exists These defects in both the BCS approximation and Bogoliubov transformation for finite fermion system like nuclei can be avoided in the shell-model-Like Ap-proach(SLAP), which was originally refereed as particle number conserving method.The ground state properties of carbon isotopes are studied with RMF+SLAP in this thesis. The results obtained are compared with the data without pairing correlation in the non self-consistent RMF+SLAP. We show the effect of pairing correlation on occupation of single particle, and give the change of quadrupole deformation as a function of pairing strength. The RMF+SLAP can reproduce the binding energy, separation energies of single and double neutron, odd-even mass difference of carbon isotopes. Moreover it properly describes the radius of neutron and proton as function of mass number. Therefore, it is important to treat pairing correlation of nuclei with RMF+SLAP method.