dorsal/arxiv
View Schema$\Lambda\Lambda$-$\Xi N$-$\Sigma\Sigma$ coupling in $^{~6}_{\Lambda\Lambda}$He with the Nijmegen soft-core potentials
| Authors | Taiichi Yamada |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0403016 |
| URL | https://arxiv.org/abs/nucl-th/0403016 |
| DOI | 10.1103/PhysRevC.69.044301 |
| Journal | Phys.Rev. C69 (2004) 044301 |
Abstract
The $\Lambda\Lambda$-$\Xi N$-$\Sigma\Sigma$ coupling in $^{~6}_{\Lambda\Lambda}$He is studied with the [$\alpha$ + $\Lambda$ + $\Lambda$] + [$\alpha$ + $\Xi$ + $N$] + [$\alpha$ + $\Sigma$ + $\Sigma$] model, where the $\alpha$ particle is assumed as a frozen core. We use the Nijmegen soft-core potentials, NSC97e and NSC97f, for the valence baryon-baryon part, and the phenomenological potentials for the $\alpha-B$ parts ($B$=$N$, $\Lambda$, $\Xi$ and $\Sigma$). We find that the calculated $\Delta B_{\Lambda\Lambda}$ of $^{~6}_{\Lambda\Lambda}$He for NSC97e and NSC97f are, respectively, 0.6 and 0.4 MeV in the full coupled-channel calculation, the results of which are about half in comparison with the experimental data, $\Delta B^{exp}_{\Lambda\Lambda}=1.01\pm0.20^{+0.18}_{-0.11}$ MeV. Characteristics of the $S=-2$ sector in the NSC97 potentials are discussed in detail.
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"abstract": "The $\\Lambda\\Lambda$-$\\Xi N$-$\\Sigma\\Sigma$ coupling in\n$^{~6}_{\\Lambda\\Lambda}$He is studied with the [$\\alpha$ + $\\Lambda$ +\n$\\Lambda$] + [$\\alpha$ + $\\Xi$ + $N$] + [$\\alpha$ + $\\Sigma$ + $\\Sigma$] model,\nwhere the $\\alpha$ particle is assumed as a frozen core. We use the Nijmegen\nsoft-core potentials, NSC97e and NSC97f, for the valence baryon-baryon part,\nand the phenomenological potentials for the $\\alpha-B$ parts ($B$=$N$,\n$\\Lambda$, $\\Xi$ and $\\Sigma$). We find that the calculated $\\Delta\nB_{\\Lambda\\Lambda}$ of $^{~6}_{\\Lambda\\Lambda}$He for NSC97e and NSC97f are,\nrespectively, 0.6 and 0.4 MeV in the full coupled-channel calculation, the\nresults of which are about half in comparison with the experimental data,\n$\\Delta B^{exp}_{\\Lambda\\Lambda}=1.01\\pm0.20^{+0.18}_{-0.11}$ MeV.\nCharacteristics of the $S=-2$ sector in the NSC97 potentials are discussed in\ndetail.",
"arxiv_id": "nucl-th/0403016",
"authors": [
"Taiichi Yamada"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevC.69.044301",
"journal_ref": "Phys.Rev. C69 (2004) 044301",
"title": "$\\Lambda\\Lambda$-$\\Xi N$-$\\Sigma\\Sigma$ coupling in $^{~6}_{\\Lambda\\Lambda}$He with the Nijmegen soft-core potentials",
"url": "https://arxiv.org/abs/nucl-th/0403016"
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