How the antisymmetrization affects a cluster-cluster interaction: two-cluster systems

TL;DR

This paper investigates how antisymmetrization influences the potential energy and eigenstates in two-cluster nuclear systems, revealing the Pauli principle's significant impact on eigenfunctions and the formation of resonance states.

Contribution

It provides a detailed analysis of antisymmetrization effects on potential energy matrices and eigenstates in light p-shell nuclei with alpha-cluster channels, including eigenfunction representations.

Findings

Antisymmetrization significantly alters eigenfunctions more than eigenvalues.

The Pauli principle induces resonance and trapped states in two-cluster systems.

Eigenfunctions are characterized in oscillator, coordinate, and momentum spaces.

Abstract

We study effects of the antisymmetrization on the potential energy of two-cluster systems. The object of the investigation is the lightest nuclei of p-shell with a dominant alpha-cluster channel. For this aim we construct matrix elements of two-cluster potential energy between cluster oscillator functions with and without full antisymmetrization. Eigenvalues and eigenfunctions of the potential energy matrix are studied in detail. Eigenfunctions of the potential energy operator are presented in oscillator, coordinate and momentum spaces. We demonstrate that the Pauli principle affects more strongly the eigenfunctions than the eigenvalues of the matrix and leads to the formation of resonance and trapped states.