Stochastic Semi-Classical Description of Fusion at Near-Barrier Energies

TL;DR

This paper introduces a stochastic semi-classical model for heavy-ion fusion near the Coulomb barrier, incorporating quantum effects via initial zero-point fluctuations, and achieves good agreement with experimental data and coupled-channels calculations.

Contribution

The paper presents a simple stochastic semi-classical approach that effectively models fusion reactions, including quantum effects, and matches detailed coupled-channels results.

Findings

Accurately reproduces fusion cross sections of nickel isotopes.

Provides insights into internal excitations during non-fusing events.

Analyzes fusion time and surface vibration effects.

Abstract

Fusion reactions of heavy ions are investigated by employing a simple stochastic semi-classical model which includes the coupling between relative motion and low frequency collective surface modes of colliding ions similarly to the quantal coupled-channels description. The quantal effect enters into the calculation through the initial zero-point fluctuations of the surface vibrations. Good agreement with the result of coupled-channels calculations as well as data is obtained for the fusion cross sections of nickel isotopes. The internal excitations in non-fusing events as well as the fusion time are investigated.