Open AccessConsistent Theory of Alpha-Decay
Author(s) -
A. Ya. Dzyublik
Publication year - 2021
Publication title -
ukrainian journal of physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.213
H-Index - 17
eISSN - 2071-0194
pISSN - 2071-0186
DOI - 10.15407/ujpe66.5.379
Subject(s) - physics , wave function , wave packet , angular momentum , scattering , amplitude , nucleus , exponential decay , alpha decay , quantum mechanics , bound state , scattering amplitude , momentum (technical analysis) , quantum electrodynamics , atomic physics , finance , economics , biology , microbiology and biotechnology
In the framework of the Goldberger–Watson decay theory, we consider the a-decay of nuclei as a transition between the initial bound state of the nucleus and scattering states of the continuum spectrum with a-particle. The scattering wave functions for the a-decay with arbitrary orbital angular momentum are derived in the quasiclassical approximation. The a-particle is described by the square-integrable wave packet formed by these functions, whose amplitude exponentially grows outside the nucleus up to the wave front. The Moshinsky’s distortions of the a-wave front are analyzed. The derived general expression for the decay rate is approximated by the quasiclassical formula.