APS Logo

Parameter calibration for beta-decay calculations

ORAL

Abstract

Reliable theoretical predictions for β-decay rates of neutron-rich nuclei are essential for r-process studies. Recent development of the proton-neutron finite amplitude method (pnFAM) makes global β-decay studies feasible within the nuclear density functional theory. In pnFAM calculations with the Skyrme functional, time-odd terms, isoscalar pairing, and the axial-vector coupling strongly impact the results, but they are not constrained by the properties of even-even nuclei. Model calibration is thus necessary and it is the first step toward the uncertainty quantification of β-decay predictions. We perform both χ2 optimization and Bayesian calibration with selected experimental data, and obtain optimal parameters and their uncertainties. Comparisons between various calibration schemes provide insights into the use of statistical methods in physics.

Publication: T. Li, M. Son, V. Kejzlar, W. Nazarewicz, T. Maiti, S. Bhattacharya, S. A. Giuliani, Parameter calibration for beta-decay calculations, manuscript in preparation.

Presenters

  • Tong Li

    Lawrence Livermore National Laboratory

Authors

  • Tong Li

    Lawrence Livermore National Laboratory

  • Mookyong Son

    Michigan State University

  • Vojtech Kejzlar

    Skidmore College

  • Witold Nazarewicz

    Michigan State University

  • Tapabrata Maiti

    Michigan State University

  • Shrijita Bhattacharya

    Michigan State University

  • Samuel A Giuliani

    Universidad Autónoma de Madrid