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- Title
SYMMETRIES AND STRUCTURE IN THE fp SHELL AND g<sub>9/2</sub> SHELL.
- Authors
ZAMICK, LARRY; ESCUDEROS, ALBERTO
- Abstract
First in a single-j-shell calculation (j = f7/2) we discuss various symmetries, e.g., two to one in 44Ti vs 43Ti. We note that the wave function amplitudes for T(higher) states are coefficients of fractional parentage, and that orthogonality of T(higher) and T(lower) states leads to useful results. Then we consider what happens if T = 0 two-body matrix elements are set equal to zero. We find a partial dynamical symmetry with several interesting degeneracies. It is noted that some formulae developed for identical particles also apply to different (companion) problems involving mixed systems of protons and neutrons. In the g9/2 shell, where one can have for the first time seniority violation for identical particles, we find some interesting yet unproven results.
- Subjects
PROTONS; PARTICLES (Nuclear physics); ATOMS; NEUTRONS; CONSTITUTION of matter
- Publication
International Journal of Modern Physics E: Nuclear Physics, 2006, Vol 15, Issue 8, p1681
- ISSN
0218-3013
- Publication type
Article
- DOI
10.1142/S021830130600540X