English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We sample the posterior probability distributions of the low-energy constants(LECs) in delta-full chiral effective field theory ($\chi$EFT) up to thirdorder. We use eigenvector continuation for fast and accurate emulation of thelikelihood and Hamiltonian Monte Carlo to draw effectively independent samplesfrom the posteriors. Our Bayesian inference is conditioned on the Granadadatabase of neutron-proton ($np$) cross sections and polarizations. We usepriors grounded in $\chi$EFT assumptions and a Roy-Steiner analysis ofpion-nucleon scattering data. We model correlated EFT truncation errors using atwo-feature Gaussian process, and find correlation lengths for $np$ scatteringenergies and angles in the ranges 40--120 MeV and 25--45 degrees, respectively.These correlations yield a non-diagonal covariance matrix and reduce the numberof independent scattering data with a factor of eight and four at the secondand third chiral orders, respectively. The relatively small difference betweenthe second and third order predictions in delta-full $\chi$EFT suppresses themarginal variance of the truncation error and the effects of its correlationstructure. Our results are particularly important for analyzing the predictivecapabilities in \textit{ab initio} nuclear theory.

Inference of the low-energy constants in delta-full chiral effective field theory including a correlated truncation error