dorsal/arxiv
View SchemaShell model test of quadrupole properties predicted by the rotational formula--the degenerate SDI interaction and non-degenerate FPD6
| Authors | A. Escuderos, L. Zamick |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0605030 |
| URL | https://arxiv.org/abs/nucl-th/0605030 |
Abstract
In the rotational model for a K=0 band in an even-even nucleus, there is a single parameter--Q_0, the intrinsic quadrupole moment. All B(E2)'s in the band and all static quadrupole moments are expressed in terms of this one parameter. In shell-model calculations, this does not have to be the case. In this work, we consider ground-state bands in {44}Ti, {46}Ti, {48}Ti, {48}Cr, and {50}Cr. We have two models. First, we use a Surface Delta Interaction with degenerate single-particle energies (SDI-deg). We compare this with results of a shell-model calculation using the standard interaction FPD6 and include the single-particle energy splitting. Neither model yields a perfect rotational I(I+1) spectrum, although the SDI-deg model comes somewhat closer. Overall, the simple rotational formula for B(E2)'s and static quadrupole moments hangs together very nicely.
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"date_created": "2026-03-02T18:00:08.124000Z",
"date_modified": "2026-03-02T18:00:08.124000Z",
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"abstract": "In the rotational model for a K=0 band in an even-even nucleus, there is a\nsingle parameter--Q_0, the intrinsic quadrupole moment. All B(E2)\u0027s in the band\nand all static quadrupole moments are expressed in terms of this one parameter.\nIn shell-model calculations, this does not have to be the case. In this work,\nwe consider ground-state bands in {44}Ti, {46}Ti, {48}Ti, {48}Cr, and {50}Cr.\nWe have two models. First, we use a Surface Delta Interaction with degenerate\nsingle-particle energies (SDI-deg). We compare this with results of a\nshell-model calculation using the standard interaction FPD6 and include the\nsingle-particle energy splitting. Neither model yields a perfect rotational\nI(I+1) spectrum, although the SDI-deg model comes somewhat closer. Overall, the\nsimple rotational formula for B(E2)\u0027s and static quadrupole moments hangs\ntogether very nicely.",
"arxiv_id": "nucl-th/0605030",
"authors": [
"A. Escuderos",
"L. Zamick"
],
"categories": [
"nucl-th"
],
"title": "Shell model test of quadrupole properties predicted by the rotational formula--the degenerate SDI interaction and non-degenerate FPD6",
"url": "https://arxiv.org/abs/nucl-th/0605030"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "d48c5be9-97bd-47b4-a719-fc0f6f791bd2",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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