## Abstract

First in a single-j-shell calculation (j = f_{7/2}) we discuss various symmetries, e.g., two to one in ^{44}Ti vs ^{43}Ti. 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 g_{9/2} shell, where one can have for the first time seniority violation for identical particles, we find some interesting yet unproven results.

Original language | English (US) |
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Pages (from-to) | 1681-1694 |

Number of pages | 14 |

Journal | International Journal of Modern Physics E |

Volume | 15 |

Issue number | 8 |

DOIs | |

State | Published - Nov 2006 |

## All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy(all)

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