dorsal/arxiv
View SchemaUnfolding the Effects of the T=0 and T=1 Parts of the Two-Body Interaction on Nuclear Collectivity in the f-p Shell
| Authors | Shadow J. Q. Robinson, Alberto Escuderos, Larry Zamick |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0501068 |
| URL | https://arxiv.org/abs/nucl-th/0501068 |
| DOI | 10.1103/PhysRevC.72.034314 |
| Journal | Phys.Rev. C72 (2005) 034314 |
Abstract
Calculations of the spectra of various even-even nuclei in the fp shell ({44}Ti, {46}Ti, {48}Ti, {48}Cr and {50}Cr) are performed with two sets of two-body interaction matrix elements. The first set consists of the matrix elements of the FPD6 interaction. The second set has the same T=1 two-body matrix elements as the FPD6 interaction, but all the T=0 two-body matrix elements are set equal to zero (T0FPD6). Surprisingly, the T0FPD6 interaction gives a semi-reasonable spectrum (or else this method would make no sense). A consistent feature for even-even nuclei, e.g. {44,46,48}Ti and {48,50}Cr, is that the reintroduction of T=0 matrix elements makes the spectrum look more rotational than when the T=0 matrix elements are set equal to zero. A common characteristic of the results is that, for high spin states, the excitation energies are too high for the full FPD6 interaction and too low for T0FPD6, as compared with experiment. The odd-even nucleus {43}Ti and the odd-odd nucleus {46}V are also discussed. For {43}Sc the T=0 matrix elements are responsible for staggering of the high spin states. In general, but not always, the inclusion of T=0 two-body matrix elements enhances the B(E2) rates.
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"abstract": "Calculations of the spectra of various even-even nuclei in the fp shell\n({44}Ti, {46}Ti, {48}Ti, {48}Cr and {50}Cr) are performed with two sets of\ntwo-body interaction matrix elements. The first set consists of the matrix\nelements of the FPD6 interaction. The second set has the same T=1 two-body\nmatrix elements as the FPD6 interaction, but all the T=0 two-body matrix\nelements are set equal to zero (T0FPD6). Surprisingly, the T0FPD6 interaction\ngives a semi-reasonable spectrum (or else this method would make no sense). A\nconsistent feature for even-even nuclei, e.g. {44,46,48}Ti and {48,50}Cr, is\nthat the reintroduction of T=0 matrix elements makes the spectrum look more\nrotational than when the T=0 matrix elements are set equal to zero. A common\ncharacteristic of the results is that, for high spin states, the excitation\nenergies are too high for the full FPD6 interaction and too low for T0FPD6, as\ncompared with experiment. The odd-even nucleus {43}Ti and the odd-odd nucleus\n{46}V are also discussed. For {43}Sc the T=0 matrix elements are responsible\nfor staggering of the high spin states. In general, but not always, the\ninclusion of T=0 two-body matrix elements enhances the B(E2) rates.",
"arxiv_id": "nucl-th/0501068",
"authors": [
"Shadow J. Q. Robinson",
"Alberto Escuderos",
"Larry Zamick"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.72.034314",
"journal_ref": "Phys.Rev. C72 (2005) 034314",
"title": "Unfolding the Effects of the T=0 and T=1 Parts of the Two-Body Interaction on Nuclear Collectivity in the f-p Shell",
"url": "https://arxiv.org/abs/nucl-th/0501068"
},
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