Phys.Rev. C 101, 054308 (2020)

J.M.R.Fox, C.W.Johnson, R.N.Perez

Uncertainty quantification of an empirical shell-model interaction using principal component analysis

NUCLEAR STRUCTURE ¹⁸F, ²⁶Al, ²⁶Mg; calculated B(E2) and B(M1) for several transitions; deduced median values and uncertainty intervals from comparison with experimental values. ^{17,18,19,20,21,22,23,24}O, ^{18,19,20,21,22,23,24,25,26,27}F, ^{20,21,22,23,24,25,26,27,28}Ne, ^{22,23,24,25,26,27,28,29}Na, ^{24,25,26,27,28,29,30}Mg, ^{26,27,28,29,30,31,32,33}Al, ^{28,29,30,31,32,33,34}Si, ^{30,31,32,33,34,35}P, ^{32,33,34,35,36}S, ^34,35,36,37Cl, ^36,37,38Ar, ^38,39K; calculated level energies, J, π; deduced uncertainties from comparison with experimental energies. Uncertainty quantification (UQ) in level energies, B(E2), B(M1) and B(GT) of a "gold-standard" empirical interaction for nuclear configuration-interaction shell model calculations in the sd-shell valence, investigating sensitivity of observables to perturbations in the 66 parameters.

RADIOACTIVITY ²⁶Ne, ³²Si(β^-); calculated B(GT), dark matter scattering on ³⁶Ar coupling parameter; deduced uncertainty intervals for B(GT) from comparison with experimental values. Uncertainty quantification through shell-model calculations.

doi: 10.1103/PhysRevC.101.054308