Based on the Chetaev generalized theorem the Schredinger equation as the stability condition of trajectories in classical dynamics in the presence of dissipative forces is derived. In the framework of this approach the alternative model for unified description of alpha decay, spontaneous fission, cluster radioactivity and is developed. We show the possibility of the classical (without tunneling) description of radioactive decay of heavy nuclei, when the so called noise‐induced transition or, in other words, the stochastic channel of radioactive decay conditioned by the Kramers diffusion mechanism is generated under certain conditions.
Using the ENSDF nuclear data, we have found the parametrized solutions of the Kramers equation of the Langevin type by the Alexandrov dynamic auto‐regularization method (REGN‐Dubna program). These solutions describe with high‐accuracy the dependences of half‐life (the decay probability) of heavy radioactive nuclei on total kinetic energy of daughter decay products.
Verification of the inverse problem solution in the framework of the universal Kramers description of alpha decay, spontaneous fission, cluster radioactivity, which based on the newest experimental data for alpha‐decay of even‐even superheavy nuclei ( 116, 118), shows good coincidence of the experimental and theoretical dependences of half‐life on alpha‐decay energy.
