English

Improving the predictive power of empirical shell-model Hamiltonians

Nuclear Theory 2025-04-25 v2

Abstract

We present two developments which enhance the predictive power of empirical shell-model Hamiltonians for cases in which calibration data are sparse. A recent improvement in the ab initio derivation of effective Hamiltonians leads to a much better starting point for the optimization procedure. In addition, we introduce a protocol to avoid overfitting, enabling a more reliable extrapolation beyond available data. These developments will enable more robust predictions for exotic isotopes produced at rare isotope beam facilities and in astrophysical environments.

Keywords

Cite

@article{arxiv.2412.09917,
  title  = {Improving the predictive power of empirical shell-model Hamiltonians},
  author = {J. A. Purcell and B. A. Brown and B. C. He and S. R. Stroberg and W. B. Walters},
  journal= {arXiv preprint arXiv:2412.09917},
  year   = {2025}
}

Comments

12 pages, 27 figures

R2 v1 2026-06-28T20:33:32.534Z