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Shell effects in nuclei with vector self-coupling of theωmeson in the relativistic Hartree-Bogoliubov theory

2000/02/14 by M. M. Sharma, A. R. Farhan, Ameenah R. Farhan +1 · 3 citations
Physics and Astronomy · #Atomic and Molecular Physics #Nuclear physics research studies #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.61.054306

published as Phys.Rev. C61 (2000) 054306 · 34 pages latex, 18 ps figures, replaced with minor corrections in some figures, accepted for publication in Phys. Rev. C

arxiv created 2000/02/14 · openalex publication_date 2000/04/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Shell effects in nuclei about the stability line are investigated within the framework of the relativistic Hartree-Bogoliubov (RHB) theory with self-consistent finite-range pairing. Using two-neutron separation energies of Ni and Sn isotopes, the role of \ensuremathσ\ensuremath- and \ensuremathω-meson couplings on the shell effects in nuclei is examined. It is observed that the existing successful nuclear forces (Lagrangian parameter sets) based upon the nonlinear scalar coupling of the \ensuremathσ meson exhibit shell effects which are stronger than suggested by the experimental data. We have introduced nonlinear vector self-coupling of the \ensuremathω meson in the RHB theory. It is shown that the inclusion of the vector self-coupling of the \ensuremathω meson in addition to the nonlinear scalar coupling of the \ensuremathσ meson provides a good agreement with the experimental data on shell effects in nuclei about the stability line. A comparison of the shell effects in the RHB theory is made with the Hartree-Fock-Bogoliubov approach using the Skyrme force SkP. It is shown that the oft-discussed shell quenching with SkP is not consistent with the available experimental data.

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