dorsal/arxiv
View SchemaFull-Coupled Channel Approach to Doubly Strange $s$-Shell Hypernuclei
| Authors | H. Nemura, S. Shinmura, Y. Akaishi, Khin Swe Myint |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0407033 |
| URL | https://arxiv.org/abs/nucl-th/0407033 |
| DOI | 10.1103/PhysRevLett.94.202502 |
| Journal | Phys.Rev.Lett.94:202502,2005 |
Abstract
We describe {\it ab initio} calculations of doubly strange, $S=-2$, $s$-shell hypernuclei ($^4_{\Lambda\Lambda}$H, $^5_{\Lambda\Lambda}$H, $^5_{\Lambda\Lambda}$He and $^6_{\Lambda\Lambda}$He) as a first attempt to explore the few-body problem of the {\it full}-coupled channel scheme for these systems. The wave function includes $\Lambda\Lambda$, $\Lambda\Sigma$, $N\Xi$ and $\Sigma\Sigma$ channels. Minnesota $NN$, D2$^\prime$ $YN$, and simulated $YY$ potentials based on the Nijmegen hard-core model, are used. Bound state solutions of these systems are obtained. We find that a set of phenomenological $B_8B_8$ interactions among the octet baryons in $S=0, -1$ and -2 sectors, which is consistent with all of the available experimental binding energies of $S=0, -1$ and -2 $s$-shell (hyper-)nuclei, can predict a particle stable bound state of $^4_{\Lambda\Lambda}$H. For $^5_{\Lambda\Lambda}$H and $^5_{\Lambda\Lambda}$He, $\Lambda N-\Sigma N$ and $\Xi N-\Lambda\Sigma$ potentials enhance the net $\Lambda\Lambda-N\Xi$ coupling, and a large $\Xi$ probability is obtained even for a weaker $\Lambda\Lambda-N\Xi$ potential.
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"abstract": "We describe {\\it ab initio} calculations of doubly strange, $S=-2$, $s$-shell\nhypernuclei ($^4_{\\Lambda\\Lambda}$H, $^5_{\\Lambda\\Lambda}$H,\n $^5_{\\Lambda\\Lambda}$He and $^6_{\\Lambda\\Lambda}$He) as a first attempt to\nexplore the few-body problem of the {\\it full}-coupled channel scheme for these\nsystems. The wave function includes $\\Lambda\\Lambda$, $\\Lambda\\Sigma$,\n $N\\Xi$ and $\\Sigma\\Sigma$ channels. Minnesota $NN$, D2$^\\prime$ $YN$, and\nsimulated $YY$ potentials based on the Nijmegen hard-core model, are used.\n Bound state solutions of these systems are obtained. We find that a set of\nphenomenological $B_8B_8$ interactions among the octet baryons in $S=0, -1$ and\n-2 sectors, which is consistent with all of the available experimental binding\nenergies of $S=0, -1$ and -2 $s$-shell (hyper-)nuclei, can predict a particle\nstable bound state of $^4_{\\Lambda\\Lambda}$H.\n For $^5_{\\Lambda\\Lambda}$H and $^5_{\\Lambda\\Lambda}$He, $\\Lambda N-\\Sigma N$\nand $\\Xi N-\\Lambda\\Sigma$ potentials enhance the net $\\Lambda\\Lambda-N\\Xi$\ncoupling, and a large $\\Xi$ probability is obtained even for a weaker\n$\\Lambda\\Lambda-N\\Xi$ potential.",
"arxiv_id": "nucl-th/0407033",
"authors": [
"H. Nemura",
"S. Shinmura",
"Y. Akaishi",
"Khin Swe Myint"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevLett.94.202502",
"journal_ref": "Phys.Rev.Lett.94:202502,2005",
"title": "Full-Coupled Channel Approach to Doubly Strange $s$-Shell Hypernuclei",
"url": "https://arxiv.org/abs/nucl-th/0407033"
},
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