Fermion-dimer scattering using an impurity lattice Monte Carlo approach and the adiabatic projection method

Understand

We present lattice Monte Carlo calculations of fermion-dimer scattering in the limit of zero-range interactions using the adiabatic projection method.

• The adiabatic projection method uses a set of initial cluster states and Euclidean time projection to give a systematically improvable description of the low-lying scattering cluster states in a finite volume.
• We use L\"uscher's finite-volume relations to determine the s-wave, p-wave, and d-wave phase shifts.
• For comparison, we also compute exact lattice results using Lanczos iteration and continuum results using the Skorniakov-Ter-Martirosian equation.