Application of the Hill-Wheeler Formula in Statistical Models of Nuclear Fission: A Statistical-Mechanical Approach Based on Similarities with Semiconductor Physics

This study proposes a novel theoretical approach to understanding the statistical-mechanical similarities between nuclear fission phenomena and semiconductor physics. Using the Hill-Wheeler formula as a quantum mechanical distribution function and establishing its correspondence with the Fermi-Dirac distribution function, we analyzed nuclear fission processes for nine nuclides ((232)Th, (233)U, (235)U, (238)U, (237)Np, (239)Pu, (240)Pu, (242)Pu, (241)Am) using JENDL-5.0 data.