Three-body interactions from the finite-volume QCD spectrum
High Energy Physics - Lattice
2021-07-09 v2 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
We perform a fit of the finite-volume QCD spectrum of three pions at maximal isospin to constrain the three-body force. We use the unitarity-based relativistic three-particle quantization condition, with the GWUQCD spectrum obtained at 315 MeV and 220 MeV pion mass in two-flavor QCD. For the heavier pion mass we find that the data is consistent with a constant contact term close to zero, whereas for the lighter mass we see a statistically significant energy dependence in tension with the prediction of leading order ChPT. Our results also suggest that with enough three-body energy levels, the two-body amplitude could be constrained.
Cite
@article{arxiv.2101.06144,
title = {Three-body interactions from the finite-volume QCD spectrum},
author = {Ruairí Brett and Chris Culver and Maxim Mai and Andrei Alexandru and Michael Döring and Frank X. Lee},
journal= {arXiv preprint arXiv:2101.06144},
year = {2021}
}
Comments
17 pages, 6 figures. Updated to match published version