dorsal/arxiv
View SchemaMonopole Excitation to Cluster States
| Authors | Taiichi Yamada, Yasuro Funaki, Hisashi Horiuchi, Kiyomi Ikeda, Akihiro Tohsaki |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0703045 |
| URL | https://arxiv.org/abs/nucl-th/0703045 |
| DOI | 10.1088/1742-6596/111/1/012008 |
| Journal | J.Phys.Conf.Ser.111:012008,2008 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We discuss strength of monopole excitation of the ground state to cluster states in light nuclei. We clarify that the monopole excitation to cluster states is in general strong as to be comparable with the single particle strength and shares an appreciable portion of the sum rule value in spite of large difference of the structure between the cluster state and the shell-model-like ground state. We argue that the essential reasons of the large strength are twofold. One is the fact that the clustering degree of freedom is possessed even by simple shell model wave functions. The detailed feature of this fact is described by the so-called Bayman-Bohr theorem which tells us that SU(3) shell model wave function is equivalent to cluster model wave function. The other is the ground state correlation induced by the activation of the cluster degrees of freedom described by the Bayman-Bohr theorem. We demonstrate, by deriving analytical expressions of monopole matrix elements, that the order of magnitude of the monopole strength is governed by the first reason, while the second reason plays a sufficient role in reproducing the data up to the factor of magnitude of the monopole strength. Our explanation is made by analysing three examples which are the monopole excitations to the $0^+_2$ and $0^+_3$ states in $^{16}$O and the one to the $0^+_2$ state in $^{12}$C. The present results imply that the measurement of strong monopole transitions or excitations is in general very useful for the study of cluster states.
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"abstract": "We discuss strength of monopole excitation of the ground state to cluster\nstates in light nuclei. We clarify that the monopole excitation to cluster\nstates is in general strong as to be comparable with the single particle\nstrength and shares an appreciable portion of the sum rule value in spite of\nlarge difference of the structure between the cluster state and the\nshell-model-like ground state. We argue that the essential reasons of the large\nstrength are twofold. One is the fact that the clustering degree of freedom is\npossessed even by simple shell model wave functions. The detailed feature of\nthis fact is described by the so-called Bayman-Bohr theorem which tells us that\nSU(3) shell model wave function is equivalent to cluster model wave function.\nThe other is the ground state correlation induced by the activation of the\ncluster degrees of freedom described by the Bayman-Bohr theorem. We\ndemonstrate, by deriving analytical expressions of monopole matrix elements,\nthat the order of magnitude of the monopole strength is governed by the first\nreason, while the second reason plays a sufficient role in reproducing the data\nup to the factor of magnitude of the monopole strength. Our explanation is made\nby analysing three examples which are the monopole excitations to the $0^+_2$\nand $0^+_3$ states in $^{16}$O and the one to the $0^+_2$ state in $^{12}$C.\nThe present results imply that the measurement of strong monopole transitions\nor excitations is in general very useful for the study of cluster states.",
"arxiv_id": "nucl-th/0703045",
"authors": [
"Taiichi Yamada",
"Yasuro Funaki",
"Hisashi Horiuchi",
"Kiyomi Ikeda",
"Akihiro Tohsaki"
],
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"nucl-th"
],
"doi": "10.1088/1742-6596/111/1/012008",
"journal_ref": "J.Phys.Conf.Ser.111:012008,2008",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Monopole Excitation to Cluster States",
"url": "https://arxiv.org/abs/nucl-th/0703045"
},
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