Global microscopic calculations of ground-state spins and parities for odd-mass nuclei

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

DOI:https://doi.org/10.1103/PHYSREVC.76.024320· OSTI ID:21061959

Bonneau, L; Moeller, P ^[1]; Quentin, P ^[1]

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1. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

Systematic calculations of ground-state spins and parities of odd-mass nuclei have been performed within the Hartree-Fock-BCS (HFBCS) approach and the finite-range droplet model for nuclei for which experimental data are available. The unpaired nucleon has been treated perturbatively, and axial and left-right reflection symmetries have been assumed. As for the HFBCS approach, three different Skyrme forces have been used in the particle-hole channel, whereas the particle-particle matrix elements have been approximated by a seniority force. The calculations have been done for the 621 nuclei for which the Nubase 2003 data set gives assignments of spins and parities with strong arguments. The agreement of both spin and parity in the self-consistent model reaches about 80% for spherical nuclei, and about 40% for well-deformed nuclei regardless of the Skyrme force used. As for the macroscopic-microscopic approach, the agreement for spherical nuclei is about 90% and about 40% for well-deformed nuclei, with different sets of spherical and deformed nuclei found in each model.

• OSTI ID: 21061959
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 76; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BCS THEORY
DEFORMED NUCLEI
DROPLET MODEL
GROUND STATES
HARTREE-FOCK METHOD
MATRIX ELEMENTS
NUCLEAR FORCES
NUCLEONS
PARITY
PARTICLE-HOLE MODEL
REFLECTION
SKYRME POTENTIAL
SPHERICAL CONFIGURATION
SPIN
SYMMETRY