Curvature interaction in collective space

TL;DR

This paper investigates how curvature interactions in Riemannian collective space influence nuclear models, introducing a curvature-inclusive droplet model that improves mass predictions, especially for light and trans-fermium nuclei.

Contribution

It introduces a novel curvature interaction term in nuclear collective models and demonstrates its effectiveness in improving mass predictions across different nuclear regions.

Findings

Significant improvement in mass predictions for light nuclei.

Enhanced accuracy for trans-fermium nuclei.

Curvature interaction improves nuclear model performance.

Abstract

For the Riemannian space, built from the collective coordinates used within nuclear models, an additional interaction with the metric is investigated, using the collective equivalent to Einstein's curvature scalar. The coupling strength is determined using a fit with the AME2003 ground state masses. An extended finite-range droplet model including curvature is introduced, which generates significant improvements for light nuclei and nuclei in the trans-fermium region.