dorsal/arxiv
View SchemaFermionic Symmetries: Extension of the two to one Relationship Between the Spectra of Even-Even and Neighbouring Odd mass Nuclei
| Authors | Larry Zamick, Y. D. Devi |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9903081 |
| URL | https://arxiv.org/abs/nucl-th/9903081 |
| DOI | 10.1103/PhysRevC.60.054317 |
Abstract
In the single j shell there is a two to one relationship between the spectra of certain even-even and neighbouring odd mass nuclei e.g. the calculated energy levels of J=0^+ states in ^{44}Ti are at twice the energies of corresponding levels in ^{43}Ti(^{43}Sc) with J=j=7/2. Here an approximate extension of the relationship is made by adopting a truncated seniority scheme i.e. for ^{46}Ti and ^{45}Sc we get the relationship if we do not allow the seniority v=4 states to mix with the v=0 and v=2 states. Better than that, we get very close to the two to one relationship if seniority v=4 states are admixed perturbatively. In addition, it is shown that the higher isospin states do not contain seniority 4 admixtures.
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"abstract": "In the single j shell there is a two to one relationship between the spectra\nof certain even-even and neighbouring odd mass nuclei e.g. the calculated\nenergy levels of J=0^+ states in ^{44}Ti are at twice the energies of\ncorresponding levels in ^{43}Ti(^{43}Sc) with J=j=7/2. Here an approximate\nextension of the relationship is made by adopting a truncated seniority scheme\ni.e. for ^{46}Ti and ^{45}Sc we get the relationship if we do not allow the\nseniority v=4 states to mix with the v=0 and v=2 states. Better than that, we\nget very close to the two to one relationship if seniority v=4 states are\nadmixed perturbatively. In addition, it is shown that the higher isospin states\ndo not contain seniority 4 admixtures.",
"arxiv_id": "nucl-th/9903081",
"authors": [
"Larry Zamick",
"Y. D. Devi"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.60.054317",
"title": "Fermionic Symmetries: Extension of the two to one Relationship Between the Spectra of Even-Even and Neighbouring Odd mass Nuclei",
"url": "https://arxiv.org/abs/nucl-th/9903081"
},
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