Illustrations of loosely-bound and resonant states in atomic nuclei

TL;DR

This paper explores the properties of loosely-bound and resonant states in atomic nuclei using potential well models, illustrating pole movements, phase shifts, and comparing theoretical results with experiments.

Contribution

It demonstrates how simple potential well models can illustrate complex nuclear phenomena like anti-bound states and phase shifts, making these concepts accessible at an undergraduate level.

Findings

Pole movements of the S-matrix in potential wells

Comparison of calculated and experimental phase shifts for 5He

Illustration of properties of loosely-bound and resonant nuclear states

Abstract

Using the one-dimensional potential well with realistic parameters for atomic nuclei, we illustrate the movement of the poles of the S-matrix, and the transmission coefficient when the well supports an anti-bound state. We calculate the phase shift of the atomic nuclei 5He using the three-dimensional potential well, and compare it with the experimental one. The paper gives a glance of some of the properties found in realistic loosely and resonant nuclear systems, using equations at the level of undergraduate students.