The Schrodinger-Chetaev Equation in Bohmian Quantum Mechanics and Diffusion Mechanism for Alpha Decay, Cluster Radioactivity and Spontaneous Fission

TL;DR

This paper presents a classical, noise-induced diffusion model for radioactive decay processes in heavy nuclei, using Bohmian mechanics and Kramers diffusion, achieving high-accuracy predictions of half-lives based on experimental data.

Contribution

It introduces a novel classical diffusion mechanism for alpha decay, cluster radioactivity, and spontaneous fission within Bohmian quantum mechanics, avoiding tunneling assumptions.

Findings

High-accuracy description of half-life dependence on decay energy.

Good agreement between theoretical and experimental half-lives.

Validation with recent super heavy nuclei data.

Abstract

In the framework of Bohmian quantum mechanics supplemented with the Chetaev theorem on stable trajectories in dynamics in the presence of dissipative forces we have shown the possibility of the classical (without tunneling) universal description of radioactive decay of heavy nuclei, in which under certain conditions so called noise-induced transition is generated or, in other words, the stochastic channel of alpha decay, cluster radioactivity and spontaneous fission conditioned by the Kramers diffusion mechanism. Based on the ENSDF database we have found the parametrized solutions of the Kramers equation of Langevin type by Alexandrov dynamic auto-regularization method (FORTRAN program REGN-Dubna). These solutions describe with high-accuracy the dependence of the half-life (decay probability) of heavy radioactive nuclei on total kinetic energy of daughter decay products. The verification of inverse problem solution in the framework of the universal Kramers description of the alpha decay, cluster radioactivity and spontaneous fission, which was based on the newest experimental data of alpha-decay of even-even super heavy nuclei (Z=114, 116, 118) have shown the good coincidence of the experimental and theoretical half-life depend upon of alpha-decay energy.