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

2016 
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.
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