Scattering cluster wave functions on the lattice using the adiabatic projection method

Alexander Rokash, Michelle Pine, Serdar Elhatisari, Dean Lee, Evgeny Epelbaum, and Hermann Krebs
Phys. Rev. C 92, 054612 – Published 13 November 2015

Abstract

The adiabatic projection method is a general framework for studying scattering and reactions on the lattice. It provides a low-energy effective theory for clusters, which becomes exact in the limit of large Euclidean projection time. Previous studies have used the adiabatic projection method to extract scattering phase shifts from finite periodic-box energy levels using Lüscher's method. In this paper we demonstrate that scattering observables can be computed directly from asymptotic cluster wave functions. For a variety of examples in one and three spatial dimensions, we extract elastic phase shifts from asymptotic cluster standing waves corresponding to spherical wall boundary conditions. We find that this approach of extracting scattering wave functions from the adiabatic Hamiltonian to be less sensitive to small stochastic and systematic errors as compared with using periodic-box energy levels.

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  • Received 2 June 2015

DOI:https://doi.org/10.1103/PhysRevC.92.054612

©2015 American Physical Society

Authors & Affiliations

Alexander Rokash1,*, Michelle Pine2,†, Serdar Elhatisari2,3,‡, Dean Lee2,§, Evgeny Epelbaum1,∥, and Hermann Krebs1,¶

  • 1Institut für Theoretische Physik II, Ruhr-Universität Bochum, 44870 Bochum, Germany
  • 2Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA
  • 3Helmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität Bonn, 53115 Bonn, Germany

  • *alexander.rokash@ruhr-uni-bochum.de
  • mjmantoo@ncsu.edu
  • selhati@ncsu.edu
  • §dean_lee@ncsu.edu
  • evgeny.epelbaum@ruhr-uni-bochum.de
  • hermann.krebs@ruhr-uni-bochum.de

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Issue

Vol. 92, Iss. 5 — November 2015

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