Solutions to Three-Body Integral Equations

ORAL

Abstract

Understanding three body dynamics is important in modern hadron spectroscopy since many resonances strongly decay into three particles. Lattice QCD can provide a systematic way to study such systems, which connects short-distance interactions to scattering amplitudes through a set of integral equations. In this talk, we present a study of numerical solutions for these integral equations in a case where two of the particles form a bound state. We show a method for extrapolating the discrete approximation of these equations to their continuum limit. This study completes the toolset to determine three body interactions from lattice QCD.

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Authors

  • Md Habib E Islam

    • Department of Physics, Old Dominion University, Norfolk, Virginia 23529, USA

  • Andrew W. Jackura

    • Old Dominion University and Jefferson Lab
    • Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA

  • Ra\'ul A. Brice\~no

    • Old Dominion University and Jefferson Lab
    • Thomas Jefferson National Accelerator Facility, 12000 Jefferson Avenue, Newport News, Virginia 23606, USA

  • Sebastian M. Dawid

    • Physics Department, Indiana University, Bloomington, Indiana 47405, USA

  • Connor McCarty

    • Matthew Fontaine Maury High School, Norfolk, Virginia 23517, USA