dorsal/arxiv
View SchemaSub-threshold resonances in few-neutron systems
| Authors | S. A. Sofianos, S. A. Rakityansky, G. P. Vermaak |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9705016 |
| URL | https://arxiv.org/abs/nucl-th/9705016 |
| DOI | 10.1088/0954-3899/23/11/010 |
| Journal | J.Phys.G23:1619-1630,1997 |
Abstract
Three- and four-neutron systems are studied within the framework of the hyperspherical approach with a local S-wave nn-potential. Possible bound and resonant states of these systems are sought as zeros of three- and four-body Jost functions in the complex momentum plane. It is found that zeros closest to the origin correspond to sub-threshold (nnn) (1/2-) and (nnnn) (0+) resonant states. The positions of these zeros turned out to be sensitive to the choice of the $nn$--potential. For the Malfliet- Tjon potential they are E(nnn)=-4.9-i6.9 (MeV) and E(nnnn)=-2.6-i9.0 (MeV). Movement of the zeros with an artificial increase of the potential strength also shows an extreme sensitivity to the choice of potential. Thus, to generate ^3n and ^4n bound states, the Yukawa potential needs to be multiplied by 2.67 and 2.32 respectively, while for the Malfliet-Tjon potential the required multiplicative factors are 4.04 and 3.59.
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"abstract": "Three- and four-neutron systems are studied within the framework of the\nhyperspherical approach with a local S-wave nn-potential. Possible bound and\nresonant states of these systems are sought as zeros of three- and four-body\nJost functions in the complex momentum plane. It is found that zeros closest to\nthe origin correspond to sub-threshold (nnn) (1/2-) and (nnnn) (0+) resonant\nstates. The positions of these zeros turned out to be sensitive to the choice\nof the $nn$--potential. For the Malfliet- Tjon potential they are\nE(nnn)=-4.9-i6.9 (MeV) and E(nnnn)=-2.6-i9.0 (MeV). Movement of the zeros with\nan artificial increase of the potential strength also shows an extreme\nsensitivity to the choice of potential. Thus, to generate ^3n and ^4n bound\nstates, the Yukawa potential needs to be multiplied by 2.67 and 2.32\nrespectively, while for the Malfliet-Tjon potential the required multiplicative\nfactors are 4.04 and 3.59.",
"arxiv_id": "nucl-th/9705016",
"authors": [
"S. A. Sofianos",
"S. A. Rakityansky",
"G. P. Vermaak"
],
"categories": [
"nucl-th"
],
"doi": "10.1088/0954-3899/23/11/010",
"journal_ref": "J.Phys.G23:1619-1630,1997",
"title": "Sub-threshold resonances in few-neutron systems",
"url": "https://arxiv.org/abs/nucl-th/9705016"
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