A Linear Approximation for the Excitation Energies of single and double analog states in the f_{7/2} shell

We find that the excitation energies of single analog states for odd-even nuclei in the f\(_{7/2}\) shell with J=j=7/2\(^{-}\) and the J=0\(^{+}\) double analog states in the even-even nuclei are well described by the formulas \(E^{*}(j,T+1) = b (T+X)\) and \(E^{*}(0^{+},T+2) = 2b (T+X+0.5)\),respec...

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Bibliographic Details
Published in:arXiv.org 1999-10
Main Authors: Y Durga Devi, Robinson, Shadow, Zamick, Larry
Format: Article
Language:English
Subjects:
Even-even nuclei
Excitation
Odd-even nuclei
Online Access:Get full text
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Summary:We find that the excitation energies of single analog states for odd-even nuclei in the f\(_{7/2}\) shell with J=j=7/2\(^{-}\) and the J=0\(^{+}\) double analog states in the even-even nuclei are well described by the formulas \(E^{*}(j,T+1) = b (T+X)\) and \(E^{*}(0^{+},T+2) = 2b (T+X+0.5)\),respectively, where \(T=\mid N-Z\mid /2\) is usually the ground state isospin. It is remarkable to note that the parameter X accounts for the departures from the symmetry energy based predictions.
ISSN:2331-8422
DOI:10.48550/arxiv.9909069