Astrophysical S-factor for deep sub-barrier fusion reactions of light nuclei

Optical potential parameters of light nuclear fusion based on precise Coulomb wave functions

“…We calibrate optical potential parameters for D+D, D+T, D+ 3 He, p+D, p+ 6 Li and p+ 7 Li fusion reactions by benchmarking with experimental cross section data. We find that our calculated optical potential parameters are quite different from those of many previous results with ACWFs [10][11][12][13][14]. For the optical model parameters of p+ 6 Li, p+D and D+D fusion reactions, the relative errors of the real part, imaginary part and the nuclear radius of the optical potentials can reach 148%, -621% and -159%, respectively.…”

“…This model only needs to fit three parameters with obvious physical significance and overcomes the Gamow tunneling insufficiencies: it shows that the tunneling and decay can no longer be independent in light nuclear fusion process and need to be combined as a selective resonant tunneling [9]. This model has been widely exploited to investigate the FCSs, astrophysical S -factors, and optical potential parameters associated with the light nuclear fusions [10][11][12][13][14][15]. However, in these studies, the approximate Coulomb wave functions (ACWFs) that only retain the leading terms of the Coulomb wave functions (CWFs) [16], are exploited for the continuity conditions at the radius of nuclear potential well.…”

Resonant tunneling of deuteron-triton fusion in strong high-frequency electromagnetic fields

“…The analytical Eq. ( 21) based on WKB clearly shows that the tunneling and decay of compound nucleus can no longer be independent in DT fusion process and need to be combined as a selective resonant tunneling [28,30]. Note that, due to the sensitivity of fusion cross section on the continuity conditions of wave function form [31], we need recalibrate optical parameters of DT fusion based on WKB approximation to compare with field-free experimental cross sections.…”

“…Due to the lack of a full understanding of nuclear potential during fusion, the phenomenological complex potentials, also known as the "optical model" [27], are exploited to readily calculate fusion cross section within the framework of quantum scattering theory. A simple complex spherical square-well optical potential is widely applied to describe the nuclear potentials of light nuclear fusion [28][29][30][31] where an imaginary part of potential implies the decay of compound nucleus. This model only contains three parameters and can overcome the insufficiencies of Gamow tunneling formula: it shows that the tunneling and decay of compound nucleus are no longer independent in light nuclear fusion process and need to be combined as a selective resonant tunneling [30].…”

“…A simple complex spherical square-well optical potential is widely applied to describe the nuclear potentials of light nuclear fusion [28][29][30][31] where an imaginary part of potential implies the decay of compound nucleus. This model only contains three parameters and can overcome the insufficiencies of Gamow tunneling formula: it shows that the tunneling and decay of compound nucleus are no longer independent in light nuclear fusion process and need to be combined as a selective resonant tunneling [30].…”