 
FIZIKA B 5 (1996) 1, 1728
TWOCENTER 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 twocenter harmonicoscillator 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 onedimensional (the zcomponent) 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 singleparticle wave functions of the static onecenter 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
