Nucleon-deuteron scattering using the adiabatic projection method

TL;DR

This paper introduces the adiabatic projection method for lattice scattering calculations, demonstrating its accuracy and efficiency through fermion-dimer scattering benchmarks relevant to neutron-deuteron and proton-deuteron interactions.

Contribution

It develops new techniques for nucleus-nucleus scattering on the lattice and provides detailed methods for large-scale problems with systematic error estimation.

Findings

Accurate fermion-dimer scattering calculations on the lattice.

Effective benchmarking of the adiabatic projection method.

Demonstrated applicability to neutron-deuteron and proton-deuteron scattering.

Abstract

In this paper we discuss the adiabatic projection method, a general framework for scattering and reaction calculations on the lattice. We also introduce several new techniques developed to study nucleus-nucleus scattering and reactions on the lattice. We present technical details of the method for large-scale problems. To estimate the systematic errors of the calculations we consider simple two-particle scattering on the lattice. Then we benchmark the accuracy and efficiency of the numerical methods by applying these to calculate fermion-dimer scattering in lattice effective field theory with and without a long-range Coulomb potential. The fermion-dimer calculations correspond to neutron-deuteron and proton-deuteron scattering in the spin-quartet channel at leading order in the pionless effective field theory.