An Exactly Solvable Supersymmetric Model of Semimagic Nuclei

A simple model of nucleons coupled to angular momentum zero (s-pairs) occupying the valance shell of a semi-magic nuclei is considered. The model has a separable, orbit dependent pairing interaction which dominates over the kinetic term. It is shown that such an interaction leads to an exactly solva...

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Bibliographic Details
Published inAIP conference proceedings Vol. 1072; no. 1; pp. 82 - 87
Main Authors Balantekin, A B, Guven, Nurtac, Pehlivan, Yamac
Format Journal Article
LanguageEnglish
Published United States 11.11.2008
Subjects
ANGULAR MOMENTUM
EIGENSTATES
EIGENVALUES
EXACT SOLUTIONS
MAGIC NUCLEI
NICKEL 58
NICKEL 59
NICKEL 60
NICKEL 61
NICKEL 62
NICKEL 63
NICKEL 64
NICKEL 65
NICKEL 66
NICKEL 67
NICKEL 68
NUCLEAR PHYSICS AND RADIATION PHYSICS
PAIRING INTERACTIONS
QUANTUM FIELD THEORY
SHELL MODELS
SUPERSYMMETRY
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Summary:A simple model of nucleons coupled to angular momentum zero (s-pairs) occupying the valance shell of a semi-magic nuclei is considered. The model has a separable, orbit dependent pairing interaction which dominates over the kinetic term. It is shown that such an interaction leads to an exactly solvable model whose (0+) eigenstates and energies can be computed very easily with the help of the algebraic Bethe ansatz method. It is also shown that the model has a supersymmetry which connects the spectra of some semimagic nuclei. The results obtained from this model for the semimagic Ni isotopes from 58Ni to 68Ni are given. In addition, a new and easier technique for calculating the energy eigenvalues from the Bethe ansatz equations is also presented.
Bibliography:SourceType-Scholarly Journals-2
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ObjectType-Conference Paper-1
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ISBN:0735406030
9780735406032
ISSN:0094-243X
1551-7616
DOI:10.1063/1.3039869