Affiliation:
1. Bogolyubov Institute for Theoretical Physics
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 \boldsymbol{\alpha}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.