dorsal/arxiv
View SchemaA METHOD OF CALCULATING THE JOST FUNCTION FOR ANALYTIC POTENTIALS
| Authors | S. A. Rakityansky, S. A. Sofianos, K. Amos |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9505022 |
| URL | https://arxiv.org/abs/nucl-th/9505022 |
| DOI | 10.1007/BF02724658 |
| Journal | NuovoCim.B111:363-380,1996 |
Abstract
A combination of the variable-constant and complex coordinate rotation methods is used to solve the two-body Schr\"odinger equation. The latter is replaced by a system of linear first-order differential equations, which enables one to perform direct calculation of the Jost function for all complex momenta of physical interest, including the spectral points corresponding to bound and resonance states. Explicit forms of the equations, appropriate for central, noncentral, and Coulomb-tailed potentials are given. Within the proposed method, the scattering, bound, virtual, and resonance state problems can be treated in a unified way. The effectiveness of the method is demonstrated by a numerical example.
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"abstract": "A combination of the variable-constant and complex coordinate rotation\nmethods is used to solve the two-body Schr\\\"odinger equation. The latter is\nreplaced by a system of linear first-order differential equations, which\nenables one to perform direct calculation of the Jost function for all complex\nmomenta of physical interest, including the spectral points corresponding to\nbound and resonance states. Explicit forms of the equations, appropriate for\ncentral, noncentral, and Coulomb-tailed potentials are given. Within the\nproposed method, the scattering, bound, virtual, and resonance state problems\ncan be treated in a unified way. The effectiveness of the method is\ndemonstrated by a numerical example.",
"arxiv_id": "nucl-th/9505022",
"authors": [
"S. A. Rakityansky",
"S. A. Sofianos",
"K. Amos"
],
"categories": [
"nucl-th"
],
"doi": "10.1007/BF02724658",
"journal_ref": "NuovoCim.B111:363-380,1996",
"title": "A METHOD OF CALCULATING THE JOST FUNCTION FOR ANALYTIC POTENTIALS",
"url": "https://arxiv.org/abs/nucl-th/9505022"
},
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