Barrier modification in sub-barrier fusion reactions using Dynamical cluster-decay and extended-Wong models

TL;DR

This paper investigates fusion-evaporation cross-sections at sub-barrier energies using the dynamical cluster-decay model and an extended Wong formula, both incorporating barrier modifications to better explain fusion hindrance phenomena.

Contribution

It introduces a unified approach combining the dynamical cluster-decay model and an extended Wong formula with barrier modifications for sub-barrier fusion analysis.

Findings

DCM inherently includes barrier lowering effects.

Barrier modification is essential for accurate sub-barrier fusion modeling.

Extended Wong formula with empirical barrier adjustment improves data fit.

Abstract

Fusion-evaporation cross-sections {\sigma}evr in reactions known for fusion hindrance phenomenon in coupled-channels calculations at below-barrier energies, are studied in terms of the dynamical cluster-decay model (DCM) of one of us (RKG) and Collaborators and the Wong formula extended by us, both based on proximity potential, by using the concept of "barrier modification" at sub-barrier energies, first advocated by Misicu and Esbensen for M3Y potential. The DCM is shown to contain the "barrier lowering" as its inbuilt characteristic, and the same is found essential, and introduced empirically, in the extended-Wong formula.