dorsal/arxiv
View SchemaSum Rules for B(M1,0+ -> 1+) Strength in IBM-3 and IBM-4
| Authors | P. Halse, P. Van Isacker, B. R. Barrett |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9508012 |
| URL | https://arxiv.org/abs/nucl-th/9508012 |
| DOI | 10.1016/0370-2693(95)01213-A |
| Journal | Phys.Lett. B363 (1995) 145-150 |
Abstract
Sum rules for $B(M1,0^+_1\rightarrow1^+_i)$ strength are derived for even-even nuclei in the isospin-invariant forms of the IBM, IBM-3 and IBM-4, in the cases where the respective natural internal symmetries, isospin $U$(3) and $U(6)\supset SU$(4), are conserved. Subsequently, the total strength is resolved into its component partial sums to the allowed isospins (and $SU(4)$ representations in IBM-4). In cases where the usual IBM dynamical symmetries are also valid, a complete description of all $B(M1,0^+_1\rightarrow1^+_i)$ is given. In contrast to IBM-2, there is fragmentation of the strength even in the dynamical symmetry cases, for $T\neq 0$, over two states in IBM-3, and over three states in IBM-4. The presence of $pn$ bosons in the ground state of the extended versions reduces the expected strength from that for IBM-2, allowing in principle the possibility of using $B(M1)$ data for a given nucleus to infer which version is the most appropriate.
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"abstract": "Sum rules for $B(M1,0^+_1\\rightarrow1^+_i)$ strength are derived for\neven-even nuclei in the isospin-invariant forms of the IBM, IBM-3 and IBM-4, in\nthe cases where the respective natural internal symmetries, isospin $U$(3) and\n$U(6)\\supset SU$(4), are conserved. Subsequently, the total strength is\nresolved into its component partial sums to the allowed isospins (and $SU(4)$\nrepresentations in IBM-4). In cases where the usual IBM dynamical symmetries\nare also valid, a complete description of all $B(M1,0^+_1\\rightarrow1^+_i)$ is\ngiven. In contrast to IBM-2, there is fragmentation of the strength even in the\ndynamical symmetry cases, for $T\\neq 0$, over two states in IBM-3, and over\nthree states in IBM-4. The presence of $pn$ bosons in the ground state of the\nextended versions reduces the expected strength from that for IBM-2, allowing\nin principle the possibility of using $B(M1)$ data for a given nucleus to infer\nwhich version is the most appropriate.",
"arxiv_id": "nucl-th/9508012",
"authors": [
"P. Halse",
"P. Van Isacker",
"B. R. Barrett"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/0370-2693(95)01213-A",
"journal_ref": "Phys.Lett. B363 (1995) 145-150",
"title": "Sum Rules for B(M1,0+ -\u003e 1+) Strength in IBM-3 and IBM-4",
"url": "https://arxiv.org/abs/nucl-th/9508012"
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