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Quantifying the breakdown scale of pionless effective field theory
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abstract
We use Bayesian statistics to infer the breakdown scale of pionless effective field theory in its standard power counting and with renormalization of observables carried out using the power-divergence subtraction scheme and cutoff regularization. We condition our inference on predictions of the total neutron-proton scattering cross section up next-to-next-to leading order. We quantify a median breakdown scale of approximately 1.4$m_\pi$. The 68% degree of belief interval is $[0.96,1.69]m_\pi$. This result confirms the canonical expectation that the pion mass is a relevant scale in low-energy nuclear physics.
Forward citations
Cited by 2 Pith papers
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Hypernuclei with Neural Network Quantum States
Neural network quantum states, extended to include Lambda hyperons, reproduce hypernuclear separation energies to within roughly 9% and predict the observed proton-radius shrinkage in 7ΛLi.
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The breakdown scale of pionless effective field theory in the three-nucleon sector
Bayesian analysis of NLO and N2LO neutron-deuteron cross sections places the pionless EFT breakdown scale near 100 MeV, and combining with neutron-proton data shifts the mode close to the pion mass.
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