Shell model test of quadrupole properties predicted by the rotational formula--the degenerate SDI interaction and non-degenerate FPD6
| dc.creator | Escuderos, A. | |
| dc.creator | Zamick, L. | |
| dc.date | 2006-05-14 | |
| dc.date | 2007-06-12 | |
| dc.date.accessioned | 2026-07-07T08:05:08Z | |
| dc.date.available | 2026-07-07T08:05:08Z | |
| dc.description | 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. | |
| dc.description | 17 pages, 6 figures. 1 more reference added | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0605030 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0605030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130183 | |
| dc.subject | Nuclear Theory | |
| dc.title | Shell model test of quadrupole properties predicted by the rotational formula--the degenerate SDI interaction and non-degenerate FPD6 | |
| dc.type | text |