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

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

2005-05-18

arxiv.org/abs/nucl-th/0505057v2

Phys.Rev. C72 (2005) 054301

Physics

Nuclear Physics

Nuclear Theory

21 pages; RevTeX4. We have filled in some holes, mainly including more equations for the 44Ti Section

Scientific paper

10.1103/PhysRevC.72.054301

In the nuclear f_7/2 shell, the nucleon-nucleon interaction can be represented by the eight values E(J)=<(f^2_{7/2})^J |V| (f^2_{7/2})^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 0 (or to a constant), we find several degeneracies which 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 {45}Ti (I=25/2- and 27/2-), {46}V (I=12^+_1 and 13^+_1, as well as I=13^+_2 and 15+), and {47}V (I=29/2- and 31/2-).

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