Nuclear-Elastic Scattering of $^9$Be+$^4$He using the Proximity Potential

TL;DR

This paper investigates the nuclear-elastic scattering of $^9$Be and $^4$He using the proximity potential, providing a theoretical model that estimates interaction parameters and angular distributions with reasonable accuracy.

Contribution

It introduces an approximate method for calculating $l$-values in the proximity potential model applied to $^9$Be+$^4$He scattering, bridging classical and physical perspectives.

Findings

Order-of-magnitude estimates agree with experimental data.

Model provides insights into peripheral nuclear interactions.

Limited by exclusion of phase variation.

Abstract

A nuclear-elastic $^9$Be+$^4$He reaction is investigated. A tangential literature overview of the proximity potential is presented, necessitated by an approximate method for calculating $l\text{-values}$. The model is surveyed intensively, from classical conception (liquid drop model) to physical implication (fusion barrier height), leading to a second-part calculation of the $^9$Be+$^4$He angular distribution. The results obtained are limited by the exclusion of phase variation, but provide enough accuracy to give order-of-magnitude estimates for nuclei interacting peripherally, in agreement with experiment.