Description of Drip-Line Nuclei within Relativistic Mean-Field Plus BCS Approach

Abstract

Recently it has been demonstrated, considering Ni and Ca isotopes as prototypes, that the relativistic mean-field plus BCS (RMF+BCS) approach wherein the single particle continuum corresponding to the RMF is replaced by a set of discrete positive energy states for the calculation of pairing energy provides a good approximation to the full relativistic Hartree-Bogoliubov (RHB) description of the ground state properties of the drip-line neutron rich nuclei. The applicability of RMF+BCS is essentially due to the fact that the main contribution to the pairing correlations is provided by the low-lying resonant states. General validity of this approach is demonstrated by the detailed calculations for the ground state properties of the chains of isotopes of O, Ca, Ni, Zr, Sn and Pb nuclei. The TMA and NL-SH force parameter sets have been used for the effective mean-field Lagrangian. Comprehensive results for the two neutron separation energy, rms radii, single particle pairing gaps and pairing energies etc. are presented. The Ca isotopes are found to exhibit distinct features near the neutron drip line whereby it is found that further addition of neutrons causes a rapid increase in the neutron rms radius with almost no increase in the binding energy, indicating the occurrence of halos. A comparison of these results with the available experimental data and with the recent continuum relativistic Hartree-Bogoliubov (RCHB) calculations amply demonstrates the validity and usefulness of this fast RMF+BCS approach.

59 pages, 40 figures

References in corpus (8)

• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• A Giant Halo at the Neutron Drip Line
• Pairing and continuum effects in nuclei close to the drip line
• Nuclear Skins and Halos in the Mean-Field Theory
• 3D Solution of Hartree-Fock-Bogoliubov Equations for Drip-Line Nuclei
• Pairing Properties In Relativistic Mean Field Models Obtained From Effective Field Theory
• Relativistic Hartree-Bogoliubov description of ground-state properties of Ni and Sn isotopes
• Resonant continuum in the Hartree-Fock+BCS approximation

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