https://doi.org/10.1140/epja/s10050-025-01573-x
Regular Article - Theoretical Physics
Transfer matrix method as an unified method for determination of bound, antibound, resonance, decay half-life, fusion and elastic scattering cross sections
1
Department of Physics, University of Sistan and Baluchestan, Zahedan, Iran
2
Department of Physics, Niǧde Ömer Halisdemir University, 51240, Niǧde, Turkey
3
Program of Opticianry, Gölhisar Vocational School of Health Services, 15400, Gölhisar, Turkey
Received:
28
January
2025
Accepted:
7
April
2025
Published online:
26
May
2025
Transfer matrix method as a simple but strong unified method for determination of bound, antibound, resonance states, decay half-life, fusion and elastic scattering cross sections was investigated. This method gives the coefficients of linear combinations of ingoing and outgoing waves at each point. In any case by imposing the unique boundary conditions the physical quantities were obtained based on the behavior of the coefficient at the end point for eigenvalue problems or precise value of these coefficients for tunneling and scattering. In any case the results of the transfer matrix method were compared with the corresponding prevalent method and a nice coincidence but with very simple formalism were observed.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
