dorsal/arxiv
View SchemaTensor correlation in 4He and its Effect on the doublet splitting in 5He
| Authors | Takayuki Myo, Kiyoshi Kato, Kiyomi Ikeda |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0411086 |
| URL | https://arxiv.org/abs/nucl-th/0411086 |
| DOI | 10.1143/PTP.113.763 |
| Journal | Prog.Theor.Phys. 113 (2005) 763-783 |
Abstract
We investigate the role of tensor correlation on the structures of \nuc{4}{He} and its effect on the doublet splitting in \nuc{5}{He}. We perform a configuration mixing calculation in the shell model type bases to represent the tensor correlation for $^4$He. It is found that our model describes the characteristics of the tensor correlation, which is represented by an admixture of the $0s_{1/2}$ configuration with a spatially modified $0p_{1/2}$ orbit. For $^5$He, we solve a coupled OCM equation for an extended $^4$He+$n$ model, while taking into account the tensor correlation in the $^4$He cluster. It is shown that the tensor correlation produces the Pauli blocking, in particular, for the $J^\pi={1/2}^-$ state, and its effect causes about half of the p-wave doublet splitting in $^5$He. This indicates that the strength of the effective spin-orbit interaction should be reduced by about half from the conventional one. We obtain a reliable $^4$He-$n$ interaction, including the tensor correlation, which further improves the behavior of the $d$- and $f$-wave phase shifts in the $^4$He+$n$ system.
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"abstract": "We investigate the role of tensor correlation on the structures of\n\\nuc{4}{He} and its effect on the doublet splitting in \\nuc{5}{He}. We perform\na configuration mixing calculation in the shell model type bases to represent\nthe tensor correlation for $^4$He. It is found that our model describes the\ncharacteristics of the tensor correlation, which is represented by an admixture\nof the $0s_{1/2}$ configuration with a spatially modified $0p_{1/2}$ orbit. For\n$^5$He, we solve a coupled OCM equation for an extended $^4$He+$n$ model, while\ntaking into account the tensor correlation in the $^4$He cluster. It is shown\nthat the tensor correlation produces the Pauli blocking, in particular, for the\n$J^\\pi={1/2}^-$ state, and its effect causes about half of the p-wave doublet\nsplitting in $^5$He. This indicates that the strength of the effective\nspin-orbit interaction should be reduced by about half from the conventional\none. We obtain a reliable $^4$He-$n$ interaction, including the tensor\ncorrelation, which further improves the behavior of the $d$- and $f$-wave phase\nshifts in the $^4$He+$n$ system.",
"arxiv_id": "nucl-th/0411086",
"authors": [
"Takayuki Myo",
"Kiyoshi Kato",
"Kiyomi Ikeda"
],
"categories": [
"nucl-th"
],
"doi": "10.1143/PTP.113.763",
"journal_ref": "Prog.Theor.Phys. 113 (2005) 763-783",
"title": "Tensor correlation in 4He and its Effect on the doublet splitting in 5He",
"url": "https://arxiv.org/abs/nucl-th/0411086"
},
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