Evolution of nuclear shells with the Skyrme density dependent interaction

Journal Article · Fri Jun 15 04:00:00 EDT 2007 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.75.064311· OSTI ID:21003458

Brink, D M ^[1]; Stancu, Fl ^[2]

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1. University of Oxford, Rudolf Peierls Centre of Theoretical Physics, 1 Keble Road, Oxford OX1 3NP (United Kingdom)
2. University of Liege, Institute of Physics, B.5, Sart Tilman, B-4000 Liege 1 (Belgium)

We present the evolution of the shell structure of nuclei in Hartree-Fock calculations using Skyrme's density-dependent effective nucleon-nucleon interaction. The role of the tensor part of the Skyrme interaction to the Hartree-Fock spin-orbit splitting in spherical spin unsaturated nuclei is reanalyzed. The contribution of a finite range tensor force to the spin-orbit splitting in closed shell nuclei is calculated. It is found that the exact matrix elements of a Gaussian and of a one-pion exchange tensor potential could be written as a product Skyrme's short range expression times a suppression factor which is almost constant for closed shell nuclei with mass number A{>=}48. The suppression factor is {approx}0.15 for the one-pion exchange potential.

• OSTI ID: 21003458
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 6 Vol. 75; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DENSITY
HARTREE-FOCK METHOD
MASS NUMBER
MATRIX ELEMENTS
NUCLEI
NUCLEON-NUCLEON INTERACTIONS
PIONS
SHELLS
SKYRME POTENTIAL
SPHERICAL CONFIGURATION
SPIN