Unnuclear matter at large-charge

TL;DR

This paper uses an exact large-charge solution to analyze Schr"odinger-symmetry breaking effects in neutron matter, showing the EFT's validity for nuclear reactions with up to six neutrons.

Contribution

It introduces a novel application of the large-charge EFT to neutron matter, incorporating symmetry-breaking effects and validating the approach with Quantum Monte Carlo data.

Findings

Effective-range effects enter at second order in the EFT.

Large-charge EFT describes reactions with up to six neutrons.

Validation with Quantum Monte Carlo simulations.

Abstract

The utility of the non-relativistic large-charge EFT for physical systems, and neutron matter in particular, relies on controlled Schr\"odinger-symmetry breaking deformations due to scattering length and effective-range effects in the two-body system. A recently-found exact solution of the large-charge system is used to compute these effects for two-point correlation functions of large-charge operators in perturbation theory around the large-charge ground state. Notably, the leading effective-range effects are found to enter at second order in the effective range, in agreement with analogous calculations in the three-body system. The Schr\"odinger-symmetry breaking deformations are used -- together with input from Quantum Monte Carlo simulations -- to address the range of validity of the EFT with deformations both in general and in the special case of neutron matter. In particular, it is found that nuclear reactions with up to six low-energy neutrons in the final state can be described by the large-charge EFT with Schr\"odinger-symmetry breaking.