Exactly Solvable Pairing Models

TL;DR

This paper presents two exactly solvable algebraic models for nuclear pairing, successfully predicting binding energies and excited state structures, thus confirming their effectiveness in describing pairing phenomena in nuclei.

Contribution

It introduces two new algebraic models for nuclear pairing that accurately reproduce experimental data and predict pairing effects where data is lacking.

Findings

Models reproduce experimental binding energies across isotopic chains.

Models capture fine structure effects in excited $0^+$ states.

Predictions align with observed pairing phenomena in nuclei.

Abstract

Some results for two distinct but complementary exactly solvable algebraic models for pairing in atomic nuclei are presented: 1) binding energy predictions for isotopic chains of nuclei based on an extended pairing model that includes multi-pair excitations; and 2) fine structure effects among excited $0^+$ states in $N \approx Z$ nuclei that track with the proton-neutron ($pn$) and like-particle isovector pairing interactions as realized within an algebraic $sp(4)$ shell model. The results show that these models can be used to reproduce significant ranges of known experimental data, and in so doing, confirm their power to predict pairing-dominated phenomena in domains where data is unavailable.