Physics – High Energy Physics
Scientific paper
Jan 2010
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1206..208r&link_type=abstract
ASTROPHYSICS AND COSMOLOGY AFTER GAMOW: Proceedings of the 4th Gamow International Conference on Astrophysics and Cosmology Afte
Physics
High Energy Physics
Wave Equations, Alpha-Decay, Stochastic Systems, Fokker-Planck Equation, Harmonic Oscillators, Relativistic Wave Equations, Alpha Decay, Stochastic Analysis, Fokker-Planck And Vlasov Equation, Solutions Of Wave Equations: Bound States
Scientific paper
Based on the Chetaev generalized theorem the Schroedinger 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 and proton 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 and proton radioactivity, which based on the newest experimental data for alpha-decay of even-even superheavy nuclei (Z = 114, 116, 118), shows good coincidence of the experimental and theoretical dependences of half-life on alpha-decay energy.
Deliyergiyev M. A.
Mavrodiev Strachimir Cht.
Rusov Vitaliy D.
Vlasenko D. S.
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