Bayesian analysis of nucleon-nucleon scattering data in pionless effective field theory

Understand

We perform Bayesian model calibration of two-nucleon ($NN$) low-energy constants (LECs) appearing in an $NN$ interaction based on pionless effective field theory (EFT).

• The calibration is carried out for potentials constructed using naive dimensional analysis in $NN$ relative momenta ($p$) up to next-to-leading order [NLO, $O(p^2)$] and next-to-next-to-next-to-leading order [N3LO, $O(p^4)$].
• We consider two classes of pionless EFT potential: one that acts in all partial waves and another that is dominated by $s$-wave physics.
• The two classes produce broadly similar results for calibrations to $NN$ data up to $E_{\rm lab}=5$ MeV.