dorsal/arxiv
View SchemaThe effects of varying the strengths of tensor and spin-orbit interactions on M1 and E2 rates in ^{12}C: Comparison of results in $\Delta N = 0$ and $\Delta N = 0 + 2\hbar\omega$ spaces}
| Authors | M. S. Fayache, Y. Y. Sharon, L. Zamick |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9703049 |
| URL | https://arxiv.org/abs/nucl-th/9703049 |
Abstract
The energies and transition rates to $J=1^{+} T=1$ and $J=2^{+} T=0,1$ states in ^{12}C with matrix elements fitted to realistic $G$ matrix elements obtained in non-relativistic approaches are studied. Then the effects of varying the strengths of the two-body tensor and spin-orbit interactions are also considered. The calculations are done in both a small space (0p) and a large space (0p + $2\hbar\omega$). In the small space the B(M1) from ground to the $J=1^{+} T=1$ is enhanced and gets closer to experiment if the strength of the spin-orbit interaction is increased and/or if that of the tensor interaction is made weaker. In a large space the spin B(M1) gets reduced by almost a factor of two. A `self-weakening' mechanism for the tensor interaction which succeeded in explaining anomalies in other nuclei does not seem to work for this case.
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"abstract": "The energies and transition rates to $J=1^{+} T=1$ and $J=2^{+} T=0,1$ states\nin ^{12}C with matrix elements fitted to realistic $G$ matrix elements obtained\nin non-relativistic approaches are studied. Then the effects of varying the\nstrengths of the two-body tensor and spin-orbit interactions are also\nconsidered. The calculations are done in both a small space (0p) and a large\nspace (0p + $2\\hbar\\omega$). In the small space the B(M1) from ground to the\n$J=1^{+} T=1$ is enhanced and gets closer to experiment if the strength of the\nspin-orbit interaction is increased and/or if that of the tensor interaction is\nmade weaker. In a large space the spin B(M1) gets reduced by almost a factor of\ntwo. A `self-weakening\u0027 mechanism for the tensor interaction which succeeded in\nexplaining anomalies in other nuclei does not seem to work for this case.",
"arxiv_id": "nucl-th/9703049",
"authors": [
"M. S. Fayache",
"Y. Y. Sharon",
"L. Zamick"
],
"categories": [
"nucl-th"
],
"title": "The effects of varying the strengths of tensor and spin-orbit interactions on M1 and E2 rates in ^{12}C: Comparison of results in $\\Delta N = 0$ and $\\Delta N = 0 + 2\\hbar\\omega$ spaces}",
"url": "https://arxiv.org/abs/nucl-th/9703049"
},
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