Analyzing rotational bands in odd-mass nuclei using effective field theory and Bayesian methods

• DOI: 10.3389/fphy.2022.901954
• Publication Date: 2022-08-22T05:15:06Z
• Authors: I. K. Alnamlah; E. A. Coello Pérez; D. R. Phillips
• Keywords: Truncation (statistics)

We recently developed an Effective Field Theory (EFT) for rotational bands in odd-mass nuclei. Here we use EFT expressions to perform a Bayesian analysis of data on the energy levels 99 Tc, 155,157 Gd, 159 Dy, 167,169 Er, Tm, 183 W, 235 U and 239 Pu. The error model our includes both experimental truncation uncertainties. It also accounts fact that low-energy constants (LECs) at even odd orders are expected have different sizes. Markov Chain Monte Carlo (MCMC) sampling explore joint posterior error-model parameters show LECs breakdown scale can be reliably determined. extract up fourth order find that, provided correctly account errors likelihood, results lower-order stable as go higher orders. LEC with respect addition higher-energy data. expansion parameter all nuclei listed above clear correlation between extracted value inverse scale, W , based single-particle vibrational scales. However, actually determines convergence is markedly smaller than would naively those