dorsal/arxiv
View Schema$A$--Dependence of $\Lambda\Lambda$ Bond Energies in Double---$\Lambda$ Hypernuclei
| Authors | D. E. Lanskoy, Yu. A. Lurie, A. M. Shirokov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9511005 |
| URL | https://arxiv.org/abs/nucl-th/9511005 |
| DOI | 10.1007/s002180050219 |
| Journal | Z.Phys. A357 (1997) 95-100 |
Abstract
The $A$-dependence of the bond energy $\Delta B_{\Lambda\Lambda}$ of the ${\Lambda\Lambda}$ hypernuclear ground states is calculated in a three-body ${\Lambda + \Lambda + {^{A}Z}}$ model and in the Skyrme-Hartree-Fock approach. Various ${\Lambda\Lambda}$ and $\Lambda$-nucleus or ${\Lambda N}$ potentials are used and the sensitivity of $\Delta B_{\Lambda\Lambda}$ to the interactions is discussed. It is shown that in medium and heavy ${\Lambda\Lambda}$ hypernuclei, $\Delta B_{\Lambda\Lambda}$ is a linear function of $r_{\Lambda}^{-3}$, where $r_\Lambda$ is rms radius of the hyperon orbital. It looks unlikely that it will be possible to extract ${\Lambda\Lambda}$ interaction from the double-$\Lambda$ hypernuclear energies only, the additional information about the $\Lambda$-core interaction, in particular, on $r_{\Lambda}$ is needed.
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"abstract": "The $A$-dependence of the bond energy $\\Delta B_{\\Lambda\\Lambda}$ of the\n${\\Lambda\\Lambda}$ hypernuclear ground states is calculated in a three-body\n${\\Lambda + \\Lambda + {^{A}Z}}$ model and in the Skyrme-Hartree-Fock approach.\nVarious ${\\Lambda\\Lambda}$ and $\\Lambda$-nucleus or ${\\Lambda N}$ potentials\nare used and the sensitivity of $\\Delta B_{\\Lambda\\Lambda}$ to the interactions\nis discussed. It is shown that in medium and heavy ${\\Lambda\\Lambda}$\nhypernuclei, $\\Delta B_{\\Lambda\\Lambda}$ is a linear function of\n$r_{\\Lambda}^{-3}$, where $r_\\Lambda$ is rms radius of the hyperon orbital. It\nlooks unlikely that it will be possible to extract ${\\Lambda\\Lambda}$\ninteraction from the double-$\\Lambda$ hypernuclear energies only, the\nadditional information about the $\\Lambda$-core interaction, in particular, on\n$r_{\\Lambda}$ is needed.",
"arxiv_id": "nucl-th/9511005",
"authors": [
"D. E. Lanskoy",
"Yu. A. Lurie",
"A. M. Shirokov"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/s002180050219",
"journal_ref": "Z.Phys. A357 (1997) 95-100",
"title": "$A$--Dependence of $\\Lambda\\Lambda$ Bond Energies in Double---$\\Lambda$ Hypernuclei",
"url": "https://arxiv.org/abs/nucl-th/9511005"
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