Improved Wong and classical approximations, and reduction of fusion data
arxiv(2023)
摘要
We present an improved version of the Wong formula for heavy-ion fusion,
where the parameters of the parabolic approximation of the Coulomb barrier are
replaced by parameters of the l-dependent potential at an effective
partial-wave. A pocket formula for this l-dependence is given. This version
reproduces the fusion cross sections of quantum mechanical calculations very
well, even when the original Wong formula is not valid. The same procedure is
used to derive an improved expression for the classical fusion cross section,
which is very accurate at above-barrier energies. Based on this classical
expression, we propose a new method to reduce fusion data in this energy range.
This method is used to perform a comparative study of complete fusion
suppression in collisions of weakly bound projectiles. This study indicates
that the suppression of complete fusion is essentially due to the action of
nuclear breakup couplings.
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