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Infinite volume radius extrapolation for two body bound states in finite volume

POSTER

Abstract

Simulations of quantum systems in finite volume have proven to be a useful aid in calculating physical observables. Most notably finite volume effects on the energy of a variety of systems have already been investigated in great depth. The aim of this project is to derive finite volume relations for the radius of a system analogous to those that exist for the energy. We report the volume dependence of the mean square radius for two body bound states. We verify this result by demonstrating a robust method for extracting the infinite volume radius from finite volume simulation data in a cubic box with periodic boundary conditions.

Publication: A. Taurence and S. König, Volume dependence of mean-square radii, planned (2022)

Presenters

  • Anderson Taurence

    North Carolina State University

Authors

  • Anderson Taurence

    North Carolina State University

  • Sebastian Koenig

    North Carolina State University