Applied nonrelativistic conformal field theory: scattering-length and effective-range corrections to Unnuclear physics

Abstract: In a range of energy, neutrons are described by the nonrelativistic conformal field theory of unitarity fermions, perturbed by one relevant and an infinite number of irrelevant operators.  We develop a formalism which provides a definition of local operators in that nonrelativistic conformal field theory.  We compute the scattering-length and effective-range corrections to the two-point functions of primary charge-3 operators.  These calculations allow us to find the first corrections to the scale-invariant behaviors of the rate of nuclear reactions with three neutrons in the final state in the regime when the neutrons have small relative momenta.