L. Reddi Rani, N. Sowmya, H. C. Manjunatha, M. M. Armstrong Arasu
{"title":"Investigations on the Ti-induced fusion cross-sections in the range 44≤Z≤104","authors":"L. Reddi Rani, N. Sowmya, H. C. Manjunatha, M. M. Armstrong Arasu","doi":"10.1142/s021773232350147x","DOIUrl":null,"url":null,"abstract":"As a function of the barrier height, center-of-mass energy, Coulomb interaction parameter and [Formula: see text], a new empirical formula for the astronomical [Formula: see text]-factor has been proposed. Around 14 fusion reactions using [Formula: see text]Ti as projectiles were taken into consideration for various targets, producing compound nuclei with atomic and mass number ranges of [Formula: see text] and [Formula: see text], respectively. The geometric factor, Gamow–Sommerfield factor and empirical [Formula: see text]-factor formulas have been used to determine the fusion cross-sections. Compared to Wong’s formula, this study shows a better agreement with the available experiments except for the [Formula: see text] and [Formula: see text] fusion reactions. When employed to correlate with the experimental data on titanium-induced fusion reactions, this study yields a lower standard deviation value than Wong’s formula except for the fusion reactions leading to the formation of compound nuclei [Formula: see text]Hf and [Formula: see text]Th.","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters A","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s021773232350147x","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
As a function of the barrier height, center-of-mass energy, Coulomb interaction parameter and [Formula: see text], a new empirical formula for the astronomical [Formula: see text]-factor has been proposed. Around 14 fusion reactions using [Formula: see text]Ti as projectiles were taken into consideration for various targets, producing compound nuclei with atomic and mass number ranges of [Formula: see text] and [Formula: see text], respectively. The geometric factor, Gamow–Sommerfield factor and empirical [Formula: see text]-factor formulas have been used to determine the fusion cross-sections. Compared to Wong’s formula, this study shows a better agreement with the available experiments except for the [Formula: see text] and [Formula: see text] fusion reactions. When employed to correlate with the experimental data on titanium-induced fusion reactions, this study yields a lower standard deviation value than Wong’s formula except for the fusion reactions leading to the formation of compound nuclei [Formula: see text]Hf and [Formula: see text]Th.
期刊介绍:
This letters journal, launched in 1986, consists of research papers covering current research developments in Gravitation, Cosmology, Astrophysics, Nuclear Physics, Particles and Fields, Accelerator physics, and Quantum Information. A Brief Review section has also been initiated with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.