Splitting of single-particle levels in clusters potentials

TL;DR

This paper investigates how single-particle energy levels split in cluster potentials with various geometric configurations, providing insights into nuclear structure and deformation effects in alpha-cluster nuclei.

Contribution

It extends the Nilsson model analogy to cluster potentials, analyzing level splitting for different geometric arrangements of alpha particles.

Findings

Level splitting patterns depend on cluster geometry.

Deformation influences single-particle energy levels.

Results aid understanding of nuclear structure in alpha-cluster nuclei.

Abstract

In analogy with the Nilsson model, we calculate the splitting of spherical single-particle levels in a deformed field, but for cluster potentials. We study applications to alpha-cluster nuclei with two, three and four alpha particles, in which the deformation corresponds to the relative distance between the alpha particles. The splitting of the single-particle levels is studied for the cases of a dumbbell, equilateral triangle and a regular tetrahedron. The observed patterns may be used to gain insight into how the single-particle levels evolve with deformation.