Degeneracies when only T=1 two-body interactions are present

A. Escuderos, B. F. Bayman, L. Zamick, S. J.Q. Robinson

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Abstract

In the nuclear f7/2 shell, the nucleon-nucleon interaction can be represented by the eight values E(J)=(f7/22)J|V|(f7/22)J,J=0,1,...,7, where for even J the isospin is 1, and for odd J it is 0. If we set the T=0 (odd J) two-body matrix elements to zero (or to a constant), we find several degeneracies that we attempt to explain in this work. We also give more detailed expressions than previously for the energies of the states in question. New methods are used to explain degeneracies that are found in Ti45 (I=25/2- and 27/2-), V46 (I=121+ and 131+, as well as I=132+ and 15+), and V47 (I=29/2- and 31/2-).

Original languageEnglish (US)
Article number054301
JournalPhysical Review C - Nuclear Physics
Volume72
Issue number5
DOIs
StatePublished - Nov 2005

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    Escuderos, A., Bayman, B. F., Zamick, L., & Robinson, S. J. Q. (2005). Degeneracies when only T=1 two-body interactions are present. Physical Review C - Nuclear Physics, 72(5), [054301]. https://doi.org/10.1103/PhysRevC.72.054301