dorsal/arxiv
View SchemaResonances and Off-Shell Characteristics of Effective Interactions
| Authors | S. E. Massen, S. A. Sofianos, S. A. Rakityansky, S. Oryu |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9906020 |
| URL | https://arxiv.org/abs/nucl-th/9906020 |
| DOI | 10.1016/S0375-9474(99)00316-4 |
| Journal | Nucl.Phys. A654 (1999) 597c-611c |
Abstract
The importance of including experimental resonances in constructing effective inter-cluster interactions has been investigated. For this, we first address the question of how to obtain the analytical properties of the Jost function in regions of physical interest on the complex k-plane when the potential is given in a tabular form. We then employ the Marchenko inverse scattering method to construct, numerically, phase equivalent local potentials supporting the same bound state(s) but having different resonance spectra which affect the off-shell characteristics of the corresponding scattering amplitudes. This implies that the inclusion of the experimental resonances in constructing a potential would change its shape, strength, and range which in turn would modify the bound and scattering wave functions in the interior region. This is expected to have important consequences in calculations of transition amplitudes in nuclear reaction theories, which strongly depend on the behaviour of the wave functions at short distances. The influence of Supersymmetric Transformations on the position and movement of resonances has also been investigated.
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"abstract": "The importance of including experimental resonances in constructing effective\ninter-cluster interactions has been investigated. For this, we first address\nthe question of how to obtain the analytical properties of the Jost function in\nregions of physical interest on the complex k-plane when the potential is given\nin a tabular form. We then employ the Marchenko inverse scattering method to\nconstruct, numerically, phase equivalent local potentials supporting the same\nbound state(s) but having different resonance spectra which affect the\noff-shell characteristics of the corresponding scattering amplitudes. This\nimplies that the inclusion of the experimental resonances in constructing a\npotential would change its shape, strength, and range which in turn would\nmodify the bound and scattering wave functions in the interior region. This is\nexpected to have important consequences in calculations of transition\namplitudes in nuclear reaction theories, which strongly depend on the behaviour\nof the wave functions at short distances. The influence of Supersymmetric\nTransformations on the position and movement of resonances has also been\ninvestigated.",
"arxiv_id": "nucl-th/9906020",
"authors": [
"S. E. Massen",
"S. A. Sofianos",
"S. A. Rakityansky",
"S. Oryu"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(99)00316-4",
"journal_ref": "Nucl.Phys. A654 (1999) 597c-611c",
"title": "Resonances and Off-Shell Characteristics of Effective Interactions",
"url": "https://arxiv.org/abs/nucl-th/9906020"
},
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