dorsal/arxiv
View SchemaThe simplest ``strange'' three-body halo
| Authors | A. Cobis, A. S. Jensen, D. V. Fedorov |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9608026 |
| URL | https://arxiv.org/abs/nucl-th/9608026 |
| DOI | 10.1088/0954-3899/23/4/002 |
| Journal | J.Phys.G23:401-421,1997 |
Abstract
The recently developed method to solve the Faddeev equations in coordinate space is used to study the weakly bound halo nucleus, the hypertriton (Lambda + n + p). The long distances are treated carefully to achieve convergence and high accuracy. We use several sets of two-body interactions which reproduce the deuteron properties and provide the low-energy Lambda-nucleon scattering data close to that of two of Nijmegen potentials. We show that the details of the potentials are unimportant unless the accuracy of the hypertriton binding energy is required to be better than 50 keV. We find that the most significant parameter of the Lambda-nucleon interaction, the singlet s-wave scattering length, must be within 10% of 1.85 fm, when the Lambda-separation energy from the deuteron is about 130 keV. Other details of the Lambda-nucleon interaction are less important for the hypertriton structure. The scattering length and effective range are computed for scattering of a Lambda-particle on a deuteron. The folding model reducing the three-body problem to a two-body problem is investigated in this context and found to be inadequate.
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"abstract": "The recently developed method to solve the Faddeev equations in coordinate\nspace is used to study the weakly bound halo nucleus, the hypertriton (Lambda +\nn + p). The long distances are treated carefully to achieve convergence and\nhigh accuracy. We use several sets of two-body interactions which reproduce the\ndeuteron properties and provide the low-energy Lambda-nucleon scattering data\nclose to that of two of Nijmegen potentials. We show that the details of the\npotentials are unimportant unless the accuracy of the hypertriton binding\nenergy is required to be better than 50 keV. We find that the most significant\nparameter of the Lambda-nucleon interaction, the singlet s-wave scattering\nlength, must be within 10% of 1.85 fm, when the Lambda-separation energy from\nthe deuteron is about 130 keV. Other details of the Lambda-nucleon interaction\nare less important for the hypertriton structure. The scattering length and\neffective range are computed for scattering of a Lambda-particle on a deuteron.\nThe folding model reducing the three-body problem to a two-body problem is\ninvestigated in this context and found to be inadequate.",
"arxiv_id": "nucl-th/9608026",
"authors": [
"A. Cobis",
"A. S. Jensen",
"D. V. Fedorov"
],
"categories": [
"nucl-th"
],
"doi": "10.1088/0954-3899/23/4/002",
"journal_ref": "J.Phys.G23:401-421,1997",
"title": "The simplest ``strange\u0027\u0027 three-body halo",
"url": "https://arxiv.org/abs/nucl-th/9608026"
},
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