Nuclear Data Sheets for A = 157

Nica, N.

doi:10.1016/j.nds.2016.01.001

Cited by 17 publications

(1 citation statement)

References 251 publications

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“…In this section we show results for our Bayesian analysis of the rotational energy levels in 99 Tc, 155,157 Gd, 159 Dy, 167,169 Er, 167,169 Tm, 183 W, 235 U and 239 Pu. The experimental data are taken from the National Nuclear Data Center (NNDC) [22][23][24][25][26][27][28][29][30]. Except for the cases of 99 Tc and 183 W noted above, we included all levels in a certain rotational band according to the adopted level determination in the NNDC.…”

Section: Resultsmentioning

confidence: 99%

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

2022

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

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