dorsal/arxiv
View Schema$^{6}_{\Lambda\Lambda}$He as a $\Lambda\Lambda$ interaction constraint
| Authors | S. B. Carr, I. R. Afnan, B. F. Gibson |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9709003 |
| URL | https://arxiv.org/abs/nucl-th/9709003 |
| DOI | 10.1016/S0375-9474(97)00480-6 |
| Journal | Nucl.Phys.A625:143-166,1997 |
Abstract
The Nijmegen OBE potential D is SU(3) rotated to model the strangeness -2 sector of the baryon-baryon force. Soft core repulsion is introduced to regularize the singular nature of the OBE functions. The strength of the $^1$S$_0$ $t=0$ interaction is adjusted to model three scenarios: (1) a bound state, (2) a narrow virtual, or antibound, state, and (3) an unbound state in which the force is weakly attractive. Using a separable approximation to these potentials, the binding energy of $^{6}_{\Lambda\Lambda}$He is calculated in an $\Lambda\Lambda\alpha$ model. The resultant binding energies suggest that the strength of the $^1$S$_0$ $t=0$ $\Lambda\Lambda$ and the $nn$ interactions should be similar, if the coupling between the $\Lambda\Lambda$ and $\Xi N$ channels is taken into consideration.
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"abstract": "The Nijmegen OBE potential D is SU(3) rotated to model the strangeness -2\nsector of the baryon-baryon force. Soft core repulsion is introduced to\nregularize the singular nature of the OBE functions. The strength of the\n$^1$S$_0$ $t=0$ interaction is adjusted to model three scenarios: (1) a bound\nstate, (2) a narrow virtual, or antibound, state, and (3) an unbound state in\nwhich the force is weakly attractive. Using a separable approximation to these\npotentials, the binding energy of $^{6}_{\\Lambda\\Lambda}$He is calculated in an\n$\\Lambda\\Lambda\\alpha$ model. The resultant binding energies suggest that the\nstrength of the $^1$S$_0$ $t=0$ $\\Lambda\\Lambda$ and the $nn$ interactions\nshould be similar, if the coupling between the $\\Lambda\\Lambda$ and $\\Xi N$\nchannels is taken into consideration.",
"arxiv_id": "nucl-th/9709003",
"authors": [
"S. B. Carr",
"I. R. Afnan",
"B. F. Gibson"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(97)00480-6",
"journal_ref": "Nucl.Phys.A625:143-166,1997",
"title": "$^{6}_{\\Lambda\\Lambda}$He as a $\\Lambda\\Lambda$ interaction constraint",
"url": "https://arxiv.org/abs/nucl-th/9709003"
},
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