English

Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data

High Energy Physics - Lattice 2017-11-22 v1 High Energy Physics - Phenomenology Nuclear Theory

Abstract

We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture. Moreover, we consider the extraction of physical observables from the lattice spectrum using the quantization condition. To illustrate the general framework, we calculate the volume-dependent three-particle spectrum in a simple model both below and above the three-particle threshold. The relation to existing approaches is discussed in detail.

Keywords

Cite

@article{arxiv.1707.02176,
  title  = {Three particle quantization condition in a finite volume: 2. general formalism and the analysis of data},
  author = {H. -W. Hammer and J. -Y. Pang and A. Rusetsky},
  journal= {arXiv preprint arXiv:1707.02176},
  year   = {2017}
}

Comments

36 pages, 9 figures