{"title":"Analytic T-matrix for the Hulthén-distorted Yamaguchi Potential-application to $$\\alpha -12C$$ Scattering","authors":"Biswanath Swain, Patitapaban Sahoo, Dibakar Naik, Ujjwal Laha","doi":"10.1007/s10773-024-05720-w","DOIUrl":null,"url":null,"abstract":"<p>The electromagnetic interaction, in reality, is screened at a distance, and thus, the screened or cut-off Coulomb potentials are considered to visualize the effect of screening in real situations. The exact analytical expressions for off-shell solutions and transition matrix are constructed for motion in Hulthén-modified rank-one separable potential via the differential equation approach to the problem. The off-shell transition matrix for the said potential has not yet been discussed in the literature. The usefulness of these expressions is examined through some model calculations.</p>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s10773-024-05720-w","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The electromagnetic interaction, in reality, is screened at a distance, and thus, the screened or cut-off Coulomb potentials are considered to visualize the effect of screening in real situations. The exact analytical expressions for off-shell solutions and transition matrix are constructed for motion in Hulthén-modified rank-one separable potential via the differential equation approach to the problem. The off-shell transition matrix for the said potential has not yet been discussed in the literature. The usefulness of these expressions is examined through some model calculations.
期刊介绍:
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.