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

Serdar Elhatisari and Dean Lee
Phys. Rev. C 90, 064001 – Published 1 December 2014

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.

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  • Received 23 July 2014

DOI:https://doi.org/10.1103/PhysRevC.90.064001

©2014 American Physical Society

Authors & Affiliations

Serdar Elhatisari* and Dean Lee

  • Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA

  • *selhati@ncsu.edu
  • dean_lee@ncsu.edu

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Issue

Vol. 90, Iss. 6 — December 2014

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