dorsal/arxiv
View SchemaA Complex Shell Model Representation Including Antibound States
| Authors | R. Id Betan, R. J. Liotta, N. Sandulescu, T. Vertse, R. Wyss |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0510045 |
| URL | https://arxiv.org/abs/nucl-th/0510045 |
Abstract
A generalization of the Complex Shell Model formalism is presented which includes antibound states in the basis. These states, together with bound states, Gamow states, and the continuum background, represented by properly chosen scattering waves, form a representation where all states are treated on the same footing. Two-particle states are evaluated within this formalism and observable two-particle resonances are defined. The formalism is illustrated in the well known case of $^{11}$Li in its bound ground state and in $^{70}$Ca(gs), which is also bound. Both cases are found to have a halo structure. These halo structures are described within the generalized Complex Shell Model. We investigated the formation of two-particle resonances in these nuclei, but no evidence of such resonances was found.
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"abstract": "A generalization of the Complex Shell Model formalism is presented which\nincludes antibound states in the basis. These states, together with bound\nstates, Gamow states, and the continuum background, represented by properly\nchosen scattering waves, form a representation where all states are treated on\nthe same footing. Two-particle states are evaluated within this formalism and\nobservable two-particle resonances are defined. The formalism is illustrated in\nthe well known case of $^{11}$Li in its bound ground state and in\n$^{70}$Ca(gs), which is also bound. Both cases are found to have a halo\nstructure. These halo structures are described within the generalized Complex\nShell Model. We investigated the formation of two-particle resonances in these\nnuclei, but no evidence of such resonances was found.",
"arxiv_id": "nucl-th/0510045",
"authors": [
"R. Id Betan",
"R. J. Liotta",
"N. Sandulescu",
"T. Vertse",
"R. Wyss"
],
"categories": [
"nucl-th"
],
"title": "A Complex Shell Model Representation Including Antibound States",
"url": "https://arxiv.org/abs/nucl-th/0510045"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c579e367-dd3b-4966-a1f0-cafc01b36328",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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