dorsal/arxiv
View SchemaAnomalous Band Structure in Odd-Odd Nuclei with the Quadrupole-Quadrupole Interaction
| Authors | M. S Fayache, L. Zamick |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9806072 |
| URL | https://arxiv.org/abs/nucl-th/9806072 |
Abstract
We perform shell model calculations in odd-odd nuclei using a quadrupole-quadrupole interaction and single-particle splittings chosen so as to obtain the SU(3) results. Elliott had shown that such an interaction gives rotational bands for which the energies go as I(I+1). This is certainly true for eve-even and for odd-even or even-odd nuclei with $K\neq 1/2$. We have looked at odd-odd nuclei e.g $^{22}Na$ and found somewhat different behaviour. In $^{22}Na$ the $I=1^+_1 T=0$ and $I=0^+_1 T=1$ states are degenerate, and a rotational band built on the $I=0^+_1 T=1$ state behaves in a normal fashion. For the $I+1^+_1 T=0$ band however, we find that the energy is given by $E(I)-E(1^+_1)=AI(I+1)$. This differs from the `normal' behaviour which would be $E(I)-E(1^+_1)=AI(I+1)-2A$.
{
"annotation_id": "8d947c74-9166-4973-952a-c4f3accbde18",
"date_created": "2026-03-02T18:00:22.263000Z",
"date_modified": "2026-03-02T18:00:22.263000Z",
"file_hash": "bf21c46d61a1f62ba960607790e35c79d4d13dc1dee80bb40a11a8df3672257f",
"private": false,
"record": {
"abstract": "We perform shell model calculations in odd-odd nuclei using a\nquadrupole-quadrupole interaction and single-particle splittings chosen so as\nto obtain the SU(3) results. Elliott had shown that such an interaction gives\nrotational bands for which the energies go as I(I+1). This is certainly true\nfor eve-even and for odd-even or even-odd nuclei with $K\\neq 1/2$. We have\nlooked at odd-odd nuclei e.g $^{22}Na$ and found somewhat different behaviour.\nIn $^{22}Na$ the $I=1^+_1 T=0$ and $I=0^+_1 T=1$ states are degenerate, and a\nrotational band built on the $I=0^+_1 T=1$ state behaves in a normal fashion.\nFor the $I+1^+_1 T=0$ band however, we find that the energy is given by\n$E(I)-E(1^+_1)=AI(I+1)$. This differs from the `normal\u0027 behaviour which would\nbe $E(I)-E(1^+_1)=AI(I+1)-2A$.",
"arxiv_id": "nucl-th/9806072",
"authors": [
"M. S Fayache",
"L. Zamick"
],
"categories": [
"nucl-th"
],
"title": "Anomalous Band Structure in Odd-Odd Nuclei with the Quadrupole-Quadrupole Interaction",
"url": "https://arxiv.org/abs/nucl-th/9806072"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5a760ca2-cbb7-4782-93a0-7e0563bd9ef3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}