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

Abstract

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 -})

Authors:
;  [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)
Publication Date:
OSTI Identifier:
20699106
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevC.72.054301; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; HIGH SPIN STATES; ISOSPIN; MATRIX ELEMENTS; NUCLEAR FORCES; NUCLEON-NUCLEON INTERACTIONS; SHELL MODELS; SPIN; TITANIUM 45; TWO-BODY PROBLEM; VANADIUM 46; VANADIUM 47

Citation Formats

Escuderos, A., Zamick, L., Bayman, B.F., and Robinson, S.J.Q. Degeneracies when only T=1 two-body interactions are present. United States: N. p., 2005. Web. doi:10.1103/PhysRevC.72.054301.
Escuderos, A., Zamick, L., Bayman, B.F., & Robinson, S.J.Q. Degeneracies when only T=1 two-body interactions are present. United States. doi:10.1103/PhysRevC.72.054301.
Escuderos, A., Zamick, L., Bayman, B.F., and Robinson, S.J.Q. Tue . "Degeneracies when only T=1 two-body interactions are present". United States. doi:10.1103/PhysRevC.72.054301.
@article{osti_20699106,
title = {Degeneracies when only T=1 two-body interactions are present},
author = {Escuderos, A. and Zamick, L. and Bayman, B.F. and Robinson, S.J.Q.},
abstractNote = {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 -})},
doi = {10.1103/PhysRevC.72.054301},
journal = {Physical Review. C, Nuclear Physics},
number = 5,
volume = 72,
place = {United States},
year = {Tue Nov 01 00:00:00 EST 2005},
month = {Tue Nov 01 00:00:00 EST 2005}
}