Quantifying angular distributions in multinucleon transfer reactions with a semi-classical method

TL;DR

This paper introduces a semi-classical, three-parameter formula to efficiently describe angular distributions in multinucleon transfer reactions, aiding the production and detection of exotic nuclei.

Contribution

It proposes a simple, parameterized model for angular distributions in MNT reactions, validated against experimental data and microscopic models.

Findings

The three-parameter formula accurately fits experimental angular distribution data.

The model reveals parameter dependencies and sensitivities.

Comparison shows good agreement with microscopic models across various conditions.

Abstract

The multinucleon transfer (MNT) process in low-energy heavy ion collisions can be utilized to produce unknown nuclei far beyond the stability line. However, the reaction products exhibit broad angular and energy distributions, which could lower the experimental detection efficiency. We present a classical approach that employs a parameterized angular distribution to describe the complex issue. By analyzing limited experimental data on angular distribution, we proposed a three-parameter formula to calculate the angular distribution and identified the dependencies of the parameters. We also discuss the sensitivity of these parameters within this method. A comprehensive comparison with microscopic models and experimental data across a wide range of conditions is conducted. The proposed formula offers an efficient and straightforward way to determine the angular distribution of MNT products.