dorsal/arxiv
View SchemaNon-Scissors-Mode Behaviour of Isovector Magnetic Dipole Orbital Transitions Involving Isospin Transfer
| Authors | S. Aroua, L. Zamick, Y. Y. Sharon, E. Moya de Guerra, M. S. Fayache, P. Sarriguren, A. A. Raduta |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0305016 |
| URL | https://arxiv.org/abs/nucl-th/0305016 |
| DOI | 10.1016/j.nuclphysa.2003.08.023 |
| Journal | Nucl.Phys. A728 (2003) 96-108 |
Abstract
We study the response of isovector orbital magnetic dipole (IOMD) transitions to the quadrupole-quadrupole ($Q \cdot Q$) interaction, to the isospin-conserving pairing interaction (ICP) and to combinations of both. We find qualitatively different behaviours for transitions in which the final isospin differs from the initial isospin versus cases where the two isospins are the same. For $N=Z$ even-even nuclei with $J^{\pi}=0^+, T=0$ ground states such as $^8Be$ and $^{20}Ne$, the summed $T=0 \to T=1$ IOMD from the ground state to all the $J=1, T=1$ states in the $0 \hbar \omega$ space does not vanish when the $Q \cdot Q$ interaction is turned off. The pairing interaction (ICP) alone leads to a finite transition rate. For nuclei with $J=0^+, T=1$ ground states such as $^{10}Be$ and $^{22}Ne$, the summed $T=1 \to T=1$ IOMD $does$ vanish when the $Q \cdot Q$ interaction is turned off, as is expected in a good scissors-mode behaviour. However this is not the case for the corresponding sum of the $T=1 \to T=2$ IOMD transitions. In $^{22}Ne$ (but not in $^{10}Be$) the sum of the $T=1 \to T=2$ IOMD transitions is remarkably insensitive to the strengths of both the $Q \cdot Q$ and the ICP interactions. In $^{22}Ne$ an energy weighted-sum is similarly insensitive. All our calculations were carried out in the $0 \hbar \omega$ space.
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"abstract": "We study the response of isovector orbital magnetic dipole (IOMD) transitions\nto the quadrupole-quadrupole ($Q \\cdot Q$) interaction, to the\nisospin-conserving pairing interaction (ICP) and to combinations of both. We\nfind qualitatively different behaviours for transitions in which the final\nisospin differs from the initial isospin versus cases where the two isospins\nare the same. For $N=Z$ even-even nuclei with $J^{\\pi}=0^+, T=0$ ground states\nsuch as $^8Be$ and $^{20}Ne$, the summed $T=0 \\to T=1$ IOMD from the ground\nstate to all the $J=1, T=1$ states in the $0 \\hbar \\omega$ space does not\nvanish when the $Q \\cdot Q$ interaction is turned off. The pairing interaction\n(ICP) alone leads to a finite transition rate. For nuclei with $J=0^+, T=1$\nground states such as $^{10}Be$ and $^{22}Ne$, the summed $T=1 \\to T=1$ IOMD\n$does$ vanish when the $Q \\cdot Q$ interaction is turned off, as is expected in\na good scissors-mode behaviour. However this is not the case for the\ncorresponding sum of the $T=1 \\to T=2$ IOMD transitions. In $^{22}Ne$ (but not\nin $^{10}Be$) the sum of the $T=1 \\to T=2$ IOMD transitions is remarkably\ninsensitive to the strengths of both the $Q \\cdot Q$ and the ICP interactions.\nIn $^{22}Ne$ an energy weighted-sum is similarly insensitive. All our\ncalculations were carried out in the $0 \\hbar \\omega$ space.",
"arxiv_id": "nucl-th/0305016",
"authors": [
"S. Aroua",
"L. Zamick",
"Y. Y. Sharon",
"E. Moya de Guerra",
"M. S. Fayache",
"P. Sarriguren",
"A. A. Raduta"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/j.nuclphysa.2003.08.023",
"journal_ref": "Nucl.Phys. A728 (2003) 96-108",
"title": "Non-Scissors-Mode Behaviour of Isovector Magnetic Dipole Orbital Transitions Involving Isospin Transfer",
"url": "https://arxiv.org/abs/nucl-th/0305016"
},
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