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

Abstract

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 Lüscher'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. For our Monte Carlo calculations we use a new lattice algorithm called impurity lattice Monte Carlo. This algorithm can be viewed as a hybrid technique which incorporates elements of both worldline and auxiliary-field Monte Carlo simulations.

arXiv comment23 pages, 7 figures, 4 tables, version published in Phys. Rev. C

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Cited by in corpus (12)

• Microscopic Clustering in Light Nuclei
• Ab initio alpha-alpha scattering
• Nucleon-deuteron scattering using the adiabatic projection method
• Precise determination of lattice phase shifts and mixing angles
• Ab initio lattice results for Fermi polarons in two dimensions
• Scattering cluster wave functions on the lattice using the adiabatic projection method
• Impurity Lattice Monte Carlo for Hypernuclei
• Solution to sign problems in models of interacting fermions and quantum spins
• Alpha-alpha scattering in the Multiverse
• Lattice Monte Carlo Simulations with Two Impurity Worldlines
• Binding of the three-hadron $D{D}^{\ast }K$ system from the lattice effective field theory
• Adiabatic projection method with Euclidean time subspace projection