Uncertainty quantification of transition operators in the empirical shell model

Fox, Jordan M. R.; Johnson, Calvin W.; Perez, Rodrigo Navarro

doi:10.1103/physrevc.108.054310

Uncertainty quantification of transition operators in the empirical shell model

Journal Article · Fri Nov 17 00:00:00 EST 2023 · Physical Review. C

DOI:https://doi.org/10.1103/physrevc.108.054310· OSTI ID:2526548

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Argonne National Laboratory (ANL), Argonne, IL (United States); San Diego State Univ., CA (United States)
San Diego State Univ., CA (United States)

While empirical shell model calculations have successfully described low-lying nuclear data for decades, only recently has significant effort been made to quantify the uncertainty in such calculations. Here, in this study, we quantify the statistical error in effective parameters for transition operators in empirical calculations in the sd (1s_1/2-0d_3/2-0d_5/2) valence space, specifically the quenching of Gamow-Teller transitions, effective charges for electric quadrupole (E2) transitions, and the effective orbital and spin couplings for magnetic dipole (M1) transitions and moments. We find the quenching factor for Gamow-Teller transitions relative to free-space values is tightly constrained. For effective M1 couplings, we found isoscalar components more constrained than isovector. This detailed quantification of uncertainties, while highly empirical, nonetheless is an important step towards interpretation of experiments.

View Accepted Manuscript (DOE)

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: AC02-06CH11357; AC52-07NA27344; FG02-03ER41272

OSTI ID:: 2526548

Journal Information:: Physical Review. C, Journal Name: Physical Review. C Journal Issue: 5 Vol. 108; ISSN 2469-9985

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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