Year: 2025
Type: article
Abstract: We perform Bayesian model calibration of two-nucleon $(NN)$ low-energy constants (LECs) appearing in an $NN$ interaction based on pionless effective field theory $(\overline{)\ensuremath{\pi}}\mathrm{EFT})$. The calibration is carried out for potentials constructed using naive dimensional analysis in $NN$ relative momenta $(p)$ up to next-to-leading order $[\mathrm{NLO},O({p}^{2})]$ and next-to-next-to-next-to-leading order $[\mathrm{N}3\mathrm{LO},O({p}^{4})]$. We consider two classes of $\overline{)\ensuremath{\pi}}\mathrm{EFT}$ 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 ${E}_{\mathrm{lab}}=5$ MeV. Our analysis accounts for the correlated uncertainties that arise from the truncation of the $\overline{)\ensuremath{\pi}}\mathrm{EFT}$. We simultaneously estimate both the EFT LECs and the parameters that quantify the truncation error. This permits quantitative estimates of the $\overline{)\ensuremath{\pi}}\mathrm{EFT}$ breakdown scale, ${\mathrm{\ensuremath{\Lambda}}}_{b}$: the 95% intervals are ${\mathrm{\ensuremath{\Lambda}}}_{b}\ensuremath{\in}[50.11,63.03]$ MeV at NLO and ${\mathrm{\ensuremath{\Lambda}}}_{b}\ensuremath{\in}[72.27,88.54]$ MeV at N3LO. Invoking naive dimensional analysis for the $NN$ potential therefore does not lead to consistent results across orders in $\overline{)\ensuremath{\pi}}\mathrm{EFT}$. This exemplifies the possible use of Bayesian tools to identify inconsistencies in a proposed EFT power counting.
Source: Physical Review C
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Awards: NUCLEAR STRUCTURE AND NUCLEAR ASTROPHYSCIS, NUCLEAR COMPUTATIONAL LOW ENERGY INITIATIVE (NUCLEI), G222768804, QUANTUM MONTE CARLO CALCULATIONS OF LEPTON-NUCLEUS INTERACTIONS, G3177085294, FROM ATOMIC NUCLEI TO INFINITE NUCLEONIC MATTER WITHIN CHIRAL DYNAMICS
(EARLY CAREER RESEARCH PROGRAM), NUCLEAR THEORY FOR NEW PHYSICS (NTNP), THEORETICAL NUCLEAR STRUCTURE, THEORETICAL AND COMPUTATIONAL STUDIES IN INTERMEDIATE ENERGYNUCLEAR PHYSICS, FRIB THEORY CENTER - A PATH FOR THE SCIENCE AT FRIB, NUCLEAR COMPUTATIONAL LOW ENERGY INITIATIVE (NUCLEI), FRIB THEORY CENTER - A PATH FOR THE SCIENCE AT FRIB, NUCLEAR DYNAMICS AND ASTROPHYSICS IN FEW AND MANY-BODY SYSTEMS, NUCLEAR DYNAMICS AND ASTROPHYSICS IN FEW AND MANY-BODY SYSTEMS, Frameworks: Bayesian Analysis of Nuclear Dynamics, Research in Low-Energy Nuclear Theory, QUANTUM MONTE CARLO CALCULATIONS OF LEPTON-NUCLEUS INTERACTIONS
OpenAlex ID: W4408869708