dorsal/arxiv
View SchemaLevel Density in the Complex Scaling Method
| Authors | Ryusuke Suzuki, Takayuki Myo, Kiyoshi Kato |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0502012 |
| URL | https://arxiv.org/abs/nucl-th/0502012 |
| DOI | 10.1143/PTP.113.1273 |
Abstract
It is shown that the continuum level density (CLD) at unbound energies can be calculated with the complex scaling method (CSM), in which the energy spectra of bound states, resonances and continuum states are obtained in terms of $L^2$ basis functions. In this method, the extended completeness relation is applied to the calculation of the Green functions, and the continuum-state part is approximately expressed in terms of discretized complex scaled continuum solutions. The obtained result is compared with the CLD calculated exactly from the scattering phase shift. The discretization in the CSM is shown to give a very good description of continuum states. We discuss how the scattering phase shifts can inversely be calculated from the discretized CLD using a basis function technique in the CSM.
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"abstract": "It is shown that the continuum level density (CLD) at unbound energies can be\ncalculated with the complex scaling method (CSM), in which the energy spectra\nof bound states, resonances and continuum states are obtained in terms of $L^2$\nbasis functions. In this method, the extended completeness relation is applied\nto the calculation of the Green functions, and the continuum-state part is\napproximately expressed in terms of discretized complex scaled continuum\nsolutions. The obtained result is compared with the CLD calculated exactly from\nthe scattering phase shift. The discretization in the CSM is shown to give a\nvery good description of continuum states. We discuss how the scattering phase\nshifts can inversely be calculated from the discretized CLD using a basis\nfunction technique in the CSM.",
"arxiv_id": "nucl-th/0502012",
"authors": [
"Ryusuke Suzuki",
"Takayuki Myo",
"Kiyoshi Kato"
],
"categories": [
"nucl-th"
],
"doi": "10.1143/PTP.113.1273",
"title": "Level Density in the Complex Scaling Method",
"url": "https://arxiv.org/abs/nucl-th/0502012"
},
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