Unified description of the proton, alpha, cluster decays and spontaneously fissions half- life

TL;DR

This paper proposes a unified classical model for predicting half-lives of various nuclear decay processes, including proton, alpha decay, cluster radioactivity, and spontaneous fission, based on Langevin-Kramers diffusion and Bohmian mechanics.

Contribution

It introduces a novel explicit formula for decay half-lives derived from a classical framework, reducing unknown parameters and fitting experimental data effectively.

Findings

Model describes 424 decay half-lives with deviations of order one year.

Reduces unknown parameters from 137 to 79 using auto-regularization.

Fits experimental data from NuDat and recent measurements by Oganessian.

Abstract

Some time ago the possibility of classical (without Gamow tunneling) universal description of radioactive nuclei decay was demonstrated. Such possibility is basis on the classical interpretation of Bohmian Psi-field reality in Bohmian-Chetaev mechanics and the hypothesis for the presence of dissipative forces, generated from the Gryzinski translational precession of the charged particles spin, in Langevin- Kramers diffusion mechanism. In this paper is present an unified model of proton, alpha decay, cluster radioactivity and spontaneous fission half-life as explicit function which depends on the total decay energy and kinetic energy, the number of protons and neutrons of daughter product, the number of protons and neutrons of mother nuclei and from a set) unknown digital parameters. The Half- lifes of the 573 nuclei taken from NuDat database together with the recent experimental data from Oganessian provide a basis for discovering the explicit form of the Kramers solution of Langevin type equation in a framework of inverse problem with the help of the Alexandrov dynamic auto-regularization method (FORTRAN program REGN-Dubna). The procedure LCH in program REGN permitts to reduce the number of unknown digital parameters from 137 to 79. The model describes 424 decays quantities with deviation of order one in years power scale.