Revisiting the Gamow Factor of Reactions on Light Nuclei

Abstract

This study provides an improved understanding of the penetration probabilities (PPs) in nuclear reactions of light nuclei by correcting the assumptions used in the conventional Gamow factor. The Gamow factor effectively describes the PP in nuclear reactions based on two assumptions: low particle energy than the Coulomb barrier and neglecting the dependence of nuclear interaction potential. However, we find that the assumptions are not valid for light nuclei. As a result of a calculation that excludes the assumptions, we obtain the PP that depends on the nuclear interaction potential depth for the light nuclei. For the potential depth fitted by the experimental fusion cross-section, we present that PPs of light nuclei (D+D, D+T, D+${}^3$He, p+D, p+${}^6$Li, and p+${}^7$Li) become higher than the conventional one near the Coulomb barrier. We also discuss the implications of the modified PP, such as changes in the Gamow peak energy, which determine the measurement of the energy range of the nuclear cross-section in experiments, and the electron screening effect.

References in corpus (7)

• The r-process of stellar nucleosynthesis: Astrophysics and nuclear physics achievements and mysteries
• Study of the 12C+12C fusion reactions near the Gamow energy
• Electron screening and its effects on Big-Bang nucleosynthesis
• Supernova Neutrino Process of Li and B Revisited
• Comprehensive Analyses of the Neutrino-Process in the Core-collapsing Supernova
• Nuclear Reaction Screening, Weak Interactions, and r-Process Nucleosynthesis in High Magnetic Fields
• Potential model for nuclear astrophysical fusion reactions with a square-well potential