Single-particle energies in neutron-rich nuclei by shell model sum rule

One of the most striking features in neutron-rich nuclei is the disappearance of magic number N=8 or 20, which indicates a change of single-particle energy spectra and the disappearance of a large energy gap at the magic number. A sum-rule method is formulated, based on the shell model, for the eval...

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Bibliographic Details
Published in:Physical review. C, Nuclear physics Nuclear physics, 2006-09, Vol.74 (3)
Main Authors: Umeya, A., Muto, K.
Format: Article
Language:English
Subjects:
CORRELATIONS
ENERGY GAP
ENERGY SPECTRA
EVALUATION
NEUTRON-RICH ISOTOPES
NUCLEAR PHYSICS AND RADIATION PHYSICS
NUCLEON-NUCLEON INTERACTIONS
OPE MODEL
OPE POTENTIAL
ORBITS
PIONS
QUANTUM NUMBERS
SHELL MODELS
SINGLE-PARTICLE MODEL
SUM RULES
TENSORS
TRIPLETS
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Summary:One of the most striking features in neutron-rich nuclei is the disappearance of magic number N=8 or 20, which indicates a change of single-particle energy spectra and the disappearance of a large energy gap at the magic number. A sum-rule method is formulated, based on the shell model, for the evaluation of single-particle energies. It is shown that the triplet-even central component of the NN interaction plays a decisive role through the monopole interaction for a change of single-particle energy spectra, leading to a rapid decrease of the energy gap at N=8 and 20. The triplet-even attraction is due partly to the original central interaction and partly to the second-order tensor correlations of the one-pion exchange potential. A multipole expansion analysis of NN interactions shows that the contribution to the single-particle energy from the monopole interactions between two orbits depends on the nodal quantum numbers of the orbits.
ISSN:0556-2813
1089-490X
DOI:10.1103/PHYSREVC.74.034330