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Effective Interactions: Resonances and Off-Shell Characteristics

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Hellenic Nuclear Physics Society   

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Effective Interactions: Resonances and Off-Shell Characteristics (EN)
Sofianos, S. A.
Massen, S. E.
Rakityansky, S. A.
Oryu, S.
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
2019-12-05
The influence of resonances on the analytical properties and off-shell characteristics of effective interactions has been investigated. This requires, among others, the knowledge of the Jost function in regions of physical interest on the complex kplane when the potentials are given in a tabular form. The latter are encountered in inverse scattering and supersymmetric transformations. To investigate the effects of resonances on the analytical properties of the potential, we employed the Marchenko inverse scattering method to construct, phase and bound state equivalent local potentials but with different resonance spectra. It is shown that the inclusion of resonances changes the shape, strength, and range of the potential which in turn would modify the bound and scattering wave functions in the interior region. This could have important consequences in calculations of transition amplitudes in nuclear reactions, which strongly depend on the behaviour of the wave functions at short distances. Finally, an exact method to obtain the Jost solutions and the Jost functions for a repulsive singular potential is presented. The effectiveness of the method is demonstrated using the Lennard-Jones (12,6) potential. (EN)
Annual Symposium of the Hellenic Nuclear Physics Society
English
Hellenic Nuclear Physics Society (HNPS) (EN)
2654-0088
2654-007X
Annual Symposium of the Hellenic Nuclear Physics Society; Τόμ. 10 (1999): HNPS1999; 93-107 (EL)
HNPS Advances in Nuclear Physics; Vol. 10 (1999): HNPS1999; 93-107 (EN)
Πνευματική ιδιοκτησία (c) 2019 S. E. Massen, S. A. Sofianos, S. A. Rakityansky, S. Oryu (EL)
Hellenic Nuclear Physics Society
Annual Symposium of the Hellenic Nuclear Physics Society



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