Fusion dynamics of astrophysical reactions using different transmission coefficients
Document Type
Article
Publication Date
12-12-2022
Abstract
The heavy-ion fusion reactions play a pivotal role in stellar burning processes in different astrophysical scenarios. The C-12+C-12, C-12+O-16 and O-16+O-16 fusion reactions hold paramount significance in the later stages of the evolution of the heavy mass stars. The stellar energies at which these reactions proceed in astrophysical environments lie far below their respective Coulomb barriers and are beyond the reach of the present experimental laboratories, thus essential to explore the theoretical predictions. In this study, we have investigated the fusion dynamics of astrophysical heavy-ion reactions using the nuclear potential obtained within the relativistic mean-field (RMF) approach. Three different methods, namely the Hill-Wheeler, Ahmed, and Kemble approximations, are used to determine the barrier transmission coefficient at energies of astrophysical significance. The fusion cross-section and the astrophysical S-factor are calculated using the l-summed Wong model. Comparison of the cross-section for all three transmission coefficients with the experimental data manifested that the Kemble approximation gives a better overlap with the experimental data at far below barrier energies. Thus, the Kemble transmission coefficient furnished with nuclear potential obtained from RMF formalism is observed to be suitable for determining the reaction rates of fusion reactions at energies of astrophysical significance.
Keywords
Hartree-bogoliubov theory, Ground-state properties, Subbarrier fusion, Wkb approximation, Near-barrier, Neutron, Ni-58, Model
Divisions
PHYSICS
Funders
Department of Atomic Energy (DAE) Board of Research in Nuclear Sciences (BRNS) (Grant No: 58/14/12/2019-BRNS),Department of Science & Technology (India) Science Engineering Research Board (SERB), India (Grant No: CRG/2021/001229),Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) Fundacao Amazonia de Amparo a Estudos e Pesquisas (FAPESPA) (Grant No: 2017/05660-0),FOSTECT (Grant No: FOSTECT.2019B.04)
Publication Title
European Physical Journal A
Volume
58
Issue
12
Publisher
Springer
Publisher Location
ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES