FIZIKA B 5 (1996) 1, 17-28

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TWO-CENTER HARMONIC OSCILLATOR MODEL FOR HIGHLY ASYMMETRIC FISSION

CONSTANTIN CIOACĂ
Department of Physics, Chemistry Faculty, Bucharest University, Boul. Carol nr. 13, Bucharest, România

Received 27 April 1995
Revised manuscript received 1 October 1995

A very asymmetric two-center harmonic-oscillator shell model with different depths of the potential wells was developed in order to study the dynamical effects on the alpha decay widths. Only the one-dimensional (the z-component) problem was considered in detail, allowing the use of a numerical procedure for finding the solution of the Schrödinger equation. It is shown that such a model enhances the amplitudes of the single particle wave functions in the vicinity of the surface of the mother nucleus relative to the corresponding single-particle wave functions of the static one-center harmonic oscillator model. Thus, the intrinsic alpha decay overlap integrals may increase values of the amplitudes.

UDC 539.164
PACS 23.60+e, 21.60.-n
Copyright by The Croatian Physical Society
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