A Microscopic Cluster Description of 12C

TL;DR

This paper explores the structure of 12C using two microscopic models to analyze bound and resonance states within a three-alpha-cluster continuum, providing insights into nuclear clustering phenomena.

Contribution

It introduces and compares two distinct three-cluster microscopic models for 12C, enhancing understanding of nuclear cluster states with consistent results.

Findings

Results agree well with existing literature

Both models effectively describe bound and resonance states

Advances microscopic understanding of 12C structure

Abstract

We investigate both bound and resonance states in 12C embedded in a three-\alpha-cluster continuum using two distinct three-cluster microscopic models. The first one relies on the Hyperspherical Harmonics basis to enumerate the channels describing the three-cluster continuum. The second model incorporates both Gaussian and Oscillator basis functions, and reduces the three-cluster problem to a two-cluster one, in which a two-cluster subsystem is described by a set of pseudo-bound state states. It is shown that the results agree well with comparable calculations from the literature.