Adiabatic projection method for scattering and reactions on the lattice

Understand

We demonstrate and test the adiabatic projection method, a general new framework for calculating scattering and reactions on the lattice.

• The method is based upon calculating a low-energy effective theory for clusters which becomes exact in the limit of large Euclidean projection time.
• As a detailed example we calculate the adiabatic two-body Hamiltonian for elastic fermion-dimer scattering in lattice effective field theory.
• Our calculation corresponds to neutron-deuteron scattering in the spin-quartet channel at leading order in pionless effective field theory.