dorsal/arxiv
View SchemaDouble $\Lambda$ Hypernuclei and the Nuclear Medium Effective $\Lambda\Lambda$ Interaction
| Authors | J. Caro, C. Garcia-Recio, J. Nieves |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9801065 |
| URL | https://arxiv.org/abs/nucl-th/9801065 |
| DOI | 10.1016/S0375-9474(98)00640-X |
| Journal | Nucl.Phys.A646:299-342,1999 |
Abstract
We fit the $^1 S_0 \Lambda\Lambda$ interaction in the nuclear medium to the masses of the experimentally known double-$\Lambda$ hypernuclei: $^{\phantom{6}6}_{\Lambda\Lambda}$He, $^{10}_{\Lambda\Lambda}$Be and $^{13}_{\Lambda\Lambda}$B. We derive this effective interaction from OBE J\"ulich $\Lambda\Lambda$-type potentials and using both Hartree-Fock and variational approaches. We find that the inclusion of $\Lambda\Lambda$ correlations in the variational scheme leads to significant differences and a better understanding of the dynamical features of the system. We investigate the sensitivity of the binding energies and the mesonic decay widths of the above double-$\Lambda$ hypernuclei to the $\omega \Lambda\Lambda $ coupling and the form factor at the $\sigma \Lambda\Lambda$ vertex. We also use this effective interaction to predict binding energies and pionic decay widths of heavier double-$\Lambda$ hypernuclei, not discovered yet. Finally, we discard the existence of $^1 S_0$ $\Lambda\Lambda$ bound states provided the $\Lambda\Lambda-\Xi N$ coupling can be neglected.
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"abstract": "We fit the $^1 S_0 \\Lambda\\Lambda$ interaction in the nuclear medium to the\nmasses of the experimentally known double-$\\Lambda$ hypernuclei:\n$^{\\phantom{6}6}_{\\Lambda\\Lambda}$He, $^{10}_{\\Lambda\\Lambda}$Be and\n$^{13}_{\\Lambda\\Lambda}$B. We derive this effective interaction from OBE\nJ\\\"ulich $\\Lambda\\Lambda$-type potentials and using both Hartree-Fock and\nvariational approaches. We find that the inclusion of $\\Lambda\\Lambda$\ncorrelations in the variational scheme leads to significant differences and a\nbetter understanding of the dynamical features of the system. We investigate\nthe sensitivity of the binding energies and the mesonic decay widths of the\nabove double-$\\Lambda$ hypernuclei to the $\\omega \\Lambda\\Lambda $ coupling and\nthe form factor at the $\\sigma \\Lambda\\Lambda$ vertex.\n We also use this effective interaction to predict binding energies and pionic\ndecay widths of heavier double-$\\Lambda$ hypernuclei, not discovered yet.\nFinally, we discard the existence of $^1 S_0$ $\\Lambda\\Lambda$ bound states\nprovided the $\\Lambda\\Lambda-\\Xi N$ coupling can be neglected.",
"arxiv_id": "nucl-th/9801065",
"authors": [
"J. Caro",
"C. Garcia-Recio",
"J. Nieves"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(98)00640-X",
"journal_ref": "Nucl.Phys.A646:299-342,1999",
"title": "Double $\\Lambda$ Hypernuclei and the Nuclear Medium Effective $\\Lambda\\Lambda$ Interaction",
"url": "https://arxiv.org/abs/nucl-th/9801065"
},
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