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

Journal Article · · Physical Review. C, Nuclear Physics
;  [1];  [2];  [3]
  1. Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854 (United States)
  2. School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
  3. Geology and Physics Department, University of Southern Indiana, Evansville, Indiana 47712 (United States)

In the nuclear f{sub 7/2} shell, the nucleon-nucleon interaction can be represented by the eight values E(J)=<(f{sub 7/2}{sup 2}){sup J}|V|(f{sub 7/2}{sup 2}){sup 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 {sup 45}Ti (I=25/2{sup -} and 27/2{sup -}), {sup 46}V (I=12{sub 1}{sup +} and 13{sub 1}{sup +}, as well as I=13{sub 2}{sup +} and 15{sup +}), and {sup 47}V (I=29/2{sup -} and 31/2{sup -})

OSTI ID:
20699106
Journal Information:
Physical Review. C, Nuclear Physics, Vol. 72, Issue 5; Other Information: DOI: 10.1103/PhysRevC.72.054301; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
Country of Publication:
United States
Language:
English

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