publication . Article . Other literature type . Preprint . 2020

Generalizing the relativistic quantization condition to include all three-pion isospin channels

Maxwell T. Hansen; Fernando Romero-López; Stephen R. Sharpe;
Open Access English
  • Published: 24 Mar 2020
  • Publisher: Springer
We present a generalization of the relativistic, finite-volume, three-particle quantization condition for non-identical pions in isosymmetric QCD. The resulting formalism allows one to use discrete finite-volume energies, determined using lattice QCD, to constrain scattering amplitudes for all possible values of two- and three-pion isospin. As for the case of identical pions considered previously, the result splits into two steps: The first defines a non-perturbative function with roots equal to the allowed energies, $E_n(L)$, in a given cubic volume with side-length $L$. This function depends on an intermediate three-body quantity, denoted $\mathcal{K}_{\mathrm...
free text keywords: nucl-th, Nuclear Physics - Theory, hep-ph, Particle Physics - Phenomenology, hep-lat, Particle Physics - Lattice, Lattice QCD, Scattering Amplitudes, Nuclear and particle physics. Atomic energy. Radioactivity, QC770-798, High Energy Physics - Lattice, High Energy Physics - Phenomenology, Nuclear Theory, Nuclear and High Energy Physics
Funded by
The Elusives Enterprise: Asymmetries of the Invisible Universe
  • Funder: European Commission (EC)
  • Project Code: 674896
  • Funding stream: H2020 | MSCA-ITN-ETN
Innovative doctoral programme for talented early-stage researchers in Spanish host organisations excellent in the areas of Science, Technology, Engineering and Mathematics (STEM).
  • Funder: European Commission (EC)
  • Project Code: 713673
  • Funding stream: H2020 | MSCA-COFUND-DP
EC| InvisiblesPlus
  • Funder: European Commission (EC)
  • Project Code: 690575
  • Funding stream: H2020 | MSCA-RISE
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