Influence of the Pauli principle on two-cluster potential energy

2019/10/11 by Yu. A. Lashko, Lashko, Yu. A., V. S. Vasilevsky +4
Physics and Astronomy · #Advanced Chemical Physics Studies #Atomic and Molecular Physics #FOS: Physical sciences #Nuclear Theory (nucl-th) #Nuclear physics research studies #nucl-th

paper · pdf · doi:10.48550/arxiv.1910.05046

10 pages, 8 figures, contribution to Proceedings of the 24th European Few Body Conference, Surrey, UK, 2-4 September 2019

arxiv created 2019/10/11 · openalex publication_date 2019/10/11 · arxiv updated 2019/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study effects of the Pauli principle on the potential energy of two-cluster systems. The object of the investigation is the lightest nuclei of p-shell with a dominant α-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.

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