Improving the predictive power of empirical shell-model Hamiltonians

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.

12 pages, 27 figures

References in corpus (8)

• Improved nuclear matter calculations from chiral low-momentum interactions
• ${}^{78}$Ni revealed as a doubly magic stronghold against nuclear deformation
• Mass measurements of 99-101In challenge ab initio nuclear theory of the nuclide 100Sn
• Low Energy States of ${}_{31}^{81}G{a}_{50}$ : Elements on the Doubly-Magic Nature of ${}^{78}$Ni
• Factorized Approximation to the IMSRG(3)
• Isomeric excitation energy for ${}^{99}$In${}^m$ from mass spectrometry reveals constant trend next to doubly magic ${}^{100}$Sn
• Ab initio calculations of anomalous seniority breaking in the $\pi g_{9/2}$ shell for the $N=50$ isotones
• Fast-timing study of ${}^{81}$Ga from the $\beta$ decay of ${}^{81}$Zn

Cited by in corpus (2)

• Electromagnetic Properties of the N=50 Isotones with the p35-i3 Hamiltonian
• Towards shell model interactions with credible uncertainties