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Breakdown scale of pionless effective field theory in the three-nucleon sector

Andreas Ekström1,* and Lucas Platter2,3,†

  • *Contact author: andreas.ekstrom@chalmers.se
  • †Contact author: lplatter@utk.edu

Phys. Rev. C 112, L031002 – Published 25 September, 2025

DOI: https://doi.org/10.1103/4j2q-yvr9

Abstract

We make order-by-order predictions of neutron-deuteron total cross sections up to next-to-next-to-leading order in pionless effective field theory. Using Bayesian methods, we infer a posterior distribution for the breakdown scale. The result shows a mode near 100 MeV, and a combined analysis with neutron-proton scattering further sharpens the inference, placing the mode close to the pion mass scale, consistent with the expected range of pionless effective field theory.

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