Benchmark calculations for elastic fermion-dimer scattering

Understand

We present continuum and lattice calculations for elastic scattering between a fermion and a bound dimer in the shallow binding limit.

• For the continuum calculation we use the Skorniakov-Ter-Martirosian (STM) integral equation to determine the scattering length and effective range parameter to high precision.
• For the lattice calculation we use the finite-volume method of L\"uscher.
• We take into account topological finite-volume corrections to the dimer binding energy which depend on the momentum of the dimer.