Solutions of Nuclear Pairing

TL;DR

This paper presents an exact solution to the orbit-dependent nuclear pairing problem between two non-degenerate energy levels using the Bethe ansatz, extending previous models and including Richardson's reduced pairing case.

Contribution

It introduces a novel exact solution method for the orbit-dependent nuclear pairing problem employing Bethe ansatz, generalizing earlier models.

Findings

Exact solution for two-level nuclear pairing problem.

Reduction to known cases like Richardson's model.

Extension of pairing solutions to non-degenerate levels.

Abstract

We give the exact solution of orbit dependent nuclear pairing problem between two non-degenerate energy levels using the Bethe ansatz technique. Our solution reduces to previously solved cases in the appropriate limits including Richardson's treatment of reduced pairing in terms of rational Gaudin algebra operators.