Variational inference of effective range parameters for ³He-⁴He scattering

2024/08/23 by Burnelis, Andrius, Kejzlar, Vojta, Phillips, Daniel R. · 1 citation
#Applications (stat.AP) #FOS: Computer and information sciences #FOS: Physical sciences #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2408.13250

Abstract

We use two different methods, Monte Carlo sampling and variational inference (VI), to perform a Bayesian calibration of the effective-range parameters in ³He-⁴He elastic scattering. The parameters are calibrated to data from a recent set of ³He-⁴He elastic scattering differential cross section measurements. Analysis of these data for E_{\rm lab} ≤ 4.3 MeV yields a unimodal posterior for which both methods obtain the same structure. However, the effective-range expansion amplitude does not account for the 7/2^- state of ⁷Be so, even after calibration, the description of data at the upper end of this energy range is poor. The data up to E_{\rm lab}=2.6 MeV can be well described, but calibration to this lower-energy subset of the data yields a bimodal posterior. After adapting VI to treat such a multi-modal posterior we find good agreement between the VI results and those obtained with parallel-tempered Monte Carlo sampling.

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