dorsal/arxiv
View SchemaThe Effects of Deformation on Isovector Electromagnetic and Weak Transition Strengths
| Authors | L. Zamick, N. Auerbach |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9902010 |
| URL | https://arxiv.org/abs/nucl-th/9902010 |
| DOI | 10.1016/S0375-9474(99)00347-4 |
| Journal | Nucl.Phys. A658 (1999) 285-295 |
Abstract
The summed strength for transitions from the ground state of $^{12}C$ via the operators $\vec{s}t, \vec{\ell}t, rY't, r[Y's]^{\lambda}t$ and $r[Y'\ell]^{\lambda}t$ are calculated using the $\Delta N = 0$ rotational model. If we choose the z component of the isospin operator $t_{z}$, the above operators are relevant to electromagnetic transitions; if we choose $t_{+}$ they are relevant to weak transitions such as neutrino capture. In going from the spherical limit to the asymptotic (oblate) limit the strength for the operator $\vec{s} t$ decreases steadily to zero; the strength for the operator $\vec{\ell}\tau$ (scissors mode) increases by a factor of three. For the last three operators - isovector dipole, spin dipole and orbital dipole (including the twist mode) it is shown that the summed strength is independant of deformation. The main difference in the behavior is that for the first two operators we have in-shell transitions whereas for the last three operators the transitions are out of shell.
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"abstract": "The summed strength for transitions from the ground state of $^{12}C$ via the\noperators $\\vec{s}t, \\vec{\\ell}t, rY\u0027t, r[Y\u0027s]^{\\lambda}t$ and\n$r[Y\u0027\\ell]^{\\lambda}t$ are calculated using the $\\Delta N = 0$ rotational\nmodel. If we choose the z component of the isospin operator $t_{z}$, the above\noperators are relevant to electromagnetic transitions; if we choose $t_{+}$\nthey are relevant to weak transitions such as neutrino capture. In going from\nthe spherical limit to the asymptotic (oblate) limit the strength for the\noperator $\\vec{s} t$ decreases steadily to zero; the strength for the operator\n$\\vec{\\ell}\\tau$ (scissors mode) increases by a factor of three. For the last\nthree operators - isovector dipole, spin dipole and orbital dipole (including\nthe twist mode) it is shown that the summed strength is independant of\ndeformation. The main difference in the behavior is that for the first two\noperators we have in-shell transitions whereas for the last three operators the\ntransitions are out of shell.",
"arxiv_id": "nucl-th/9902010",
"authors": [
"L. Zamick",
"N. Auerbach"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00347-4",
"journal_ref": "Nucl.Phys. A658 (1999) 285-295",
"title": "The Effects of Deformation on Isovector Electromagnetic and Weak Transition Strengths",
"url": "https://arxiv.org/abs/nucl-th/9902010"
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