dorsal/arxiv
View SchemaThe Isovector Quadrupole-Quadrupole Interaction Used in Shell Model Calculations
| Authors | M. S. Fayache, S. Shelly Sharma, L. Zamick |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9506019 |
| URL | https://arxiv.org/abs/nucl-th/9506019 |
| DOI | 10.1016/0370-2693(95)00899-V |
Abstract
An interaction $-\chi Q\cdot Q(1+B\vec{\tau}(1)\cdot \vec{\tau}(2))$ is used in a shell model calculation for $^{10}Be$. Whereas for $B=0$ the $2_1^+$ state is two-fold degenerate, introducing a negative $B$ causes an `isovector' $2^+$ state to come down to zero energy at $B=-0.67$ and an $S=1~L=1$ triplet ($J=0^+,~1^+,~2^+$) to come down to zero energy at $B=-0.73$. These are undesirable properties, but a large negative $B$ is apparently needed to fit the energy of the isovector giant quadrupole resonance.
{
"annotation_id": "123b3d41-b7ab-4841-8735-d981103150d3",
"date_created": "2026-03-02T18:00:15.362000Z",
"date_modified": "2026-03-02T18:00:15.362000Z",
"file_hash": "a2ef96cd07bcaf8fe752ad1fc0d8d72f307523a9c87290c722f6cff4c8e22b83",
"private": false,
"record": {
"abstract": "An interaction $-\\chi Q\\cdot Q(1+B\\vec{\\tau}(1)\\cdot \\vec{\\tau}(2))$ is used\nin a shell model calculation for $^{10}Be$. Whereas for $B=0$ the $2_1^+$ state\nis two-fold degenerate, introducing a negative $B$ causes an `isovector\u0027 $2^+$\nstate to come down to zero energy at $B=-0.67$ and an $S=1~L=1$ triplet\n($J=0^+,~1^+,~2^+$) to come down to zero energy at $B=-0.73$. These are\nundesirable properties, but a large negative $B$ is apparently needed to fit\nthe energy of the isovector giant quadrupole resonance.",
"arxiv_id": "nucl-th/9506019",
"authors": [
"M. S. Fayache",
"S. Shelly Sharma",
"L. Zamick"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0370-2693(95)00899-V",
"title": "The Isovector Quadrupole-Quadrupole Interaction Used in Shell Model Calculations",
"url": "https://arxiv.org/abs/nucl-th/9506019"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "498bd465-6d40-4489-99b0-9656393e80cd",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}