Eur. Phys. J. A 10, 57-67
Discrete structures in fusion-barrier distributions for vibrational nuclei
A.Y. Abul-Magd and M.H. SimbelFaculty of Science, Zagazig University, Zagazig, Egypt a_y_abul_magd@hotmail.com
(Received: 6 March 2000 / Revised version: 19 December 2000 Communicated by A. Schäfer)
Abstract
We obtain a closed-form expression for the distribution of fusion barriers
for vibrational nuclei using a generalization of Dasso, Landowne, and
Winther's model, which represents the nuclear surface vibrations as a number
of harmonic oscillators, and allows the excitation of an arbitrary number of
phonons in the target and/or projectile. We find that this expression is in
reasonable agreement with the average trends of the empirical distributions
for the fusion of
with
,
and
, but fails to reproduce the double peaking of the
distribution for the
target. Only when we restrict the
number of excited phonons to a limited number, we are able to reproduce such
discrete structures. We show that limiting the number of coupled channels,
particularly in the case of strong coupling, increases the spacings between
the channel eigenvalues that determine the positions of the peaks of the
barrier distribution and modifies their heights.
25.70.Jj - Fusion and fusion-fission reactions.
24.10.-i - Nuclear-reaction models and methods.
25.70.-z - Low and intermediate energy heavy-ion reactions.
21.60.Ev - Collective models.
© Società Italiana di Fisica, Springer-Verlag 2001
