A generalization of the Levinson theorem about the asymptotic value of the scattering phase shift
| Autor: | Krivoruchenko, M. I., Tyrin, K. S. |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1134/S1063778821010130 |
| Popis: | In quantum scattering theory, there exists a relationship between the difference in the scattering phase shifts at threshold and infinity and the number of bound states, which is established by the Levinson theorem. The presence of Castillejo, Dalitz and Dyson poles in the scattering amplitude, as well as Jaffe and Low primitives, corresponding to zeros of $D$ function on the unitary cut, modify the Levinson theorem. The asymptotic value of the scattering phase shift is shown to be determined by the number of bound states, the number of Castillejo, Dalitz and Dyson poles, and the number of primitives. Some consequences of the generalized theorem with respect to properties of nucleon-nucleon interactions are discussed. Comment: 5 pages, 2 figures, accepted for publication in Physics of Atomic Nuclei |
| Databáze: | arXiv |
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