The potential of the modified Thomas - Fermi method and its analytical representation on the example of the interaction of 16O with tin isotopes 112,114,116,118,120,122,124Sn
{"title":"The potential of the modified Thomas - Fermi method and its analytical representation on the example of the interaction of 16O with tin isotopes 112,114,116,118,120,122,124Sn","authors":"V.O. Nesterov","doi":"10.15407/jnpae2023.04.298","DOIUrl":null,"url":null,"abstract":"Nucleon distribution densities and nucleus-nucleus interaction potentials for the 16O nucleus and 112,114,116,118,120,122,124Sn isotopes were calculated within the framework of the modified Thomas - Fermi method, taking into account all terms to the second-order of ħ in the quasiclassical expansion of kinetic energy. Skyrme forces dependent on the nucleon density were used as nucleon-nucleon interaction. A successful parameterization was found for the obtained potential, which allows to present it in an analytical form.","PeriodicalId":42588,"journal":{"name":"Nuclear Physics and Atomic Energy","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nuclear Physics and Atomic Energy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15407/jnpae2023.04.298","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, NUCLEAR","Score":null,"Total":0}
引用次数: 0
Abstract
Nucleon distribution densities and nucleus-nucleus interaction potentials for the 16O nucleus and 112,114,116,118,120,122,124Sn isotopes were calculated within the framework of the modified Thomas - Fermi method, taking into account all terms to the second-order of ħ in the quasiclassical expansion of kinetic energy. Skyrme forces dependent on the nucleon density were used as nucleon-nucleon interaction. A successful parameterization was found for the obtained potential, which allows to present it in an analytical form.
期刊介绍:
The journal Nuclear Physics and Atomic Energy presents the publications on Nuclear Physics, Atomic Energy, Radiation Physics, Radioecology, Engineering and Methods of Experiment. The journal includes peer-reviewed articles which are completed works containing new results of theoretical and experimental researches and are of interest for the scientists, postgraduate students, engineers and for the senior students.