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arxiv: 2101.06144 · v2 · pith:NWWEHWNN · submitted 2021-01-15 · hep-lat · hep-ph· nucl-th

Three-body interactions from the finite-volume QCD spectrum

Ruair\'i Brett , Chris Culver , Maxim Mai , Andrei Alexandru , Michael D\"oring , Frank X. Lee This is my paper

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classification hep-lat hep-phnucl-th
keywords massspectrumthree-bodyenergyfinite-volumepionamplitudechpt
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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.

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