Three-particle system in a finite volume: formalism, quantization condition, spectrum and energy shift
1 College of Science, University of Shanghai for Science and Technology, Jungong Rd. 334, 200093 Shanghai, China
2 Helmholtz-Institut für Strahlen- und Kernphysik and Bethe Center for Theoretical Physics, Universität Bonn, Nußallee 14-16, 53115 Bonn, Germany
* Corresponding author: firstname.lastname@example.org
Published online: 22 September 2020
Lattice QCD calculations provide an ab initio access to hadronic process. These calculations are usu ally performed in a small cubic volume with periodic boundary conditions. The infinite volume extrapolations for three-body systems are indispensable to understand many systems of high current interest. We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture.
Our work shows a powerful and transparent method to read off three-body physical observables from lattice simulations. In this paper, we review the formalism, quantization condition, spectrum analysis and energy shifts calculation both for 3-body bound states and scattering states.
© The Authors, published by EDP Sciences, 2020
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