6533b833fe1ef96bd129b81e
RESEARCH PRODUCT
Two- and Three-Pion Finite-Volume Spectra at Maximal Isospin from Lattice QCD.
Ben HörzAndrew D. Hanlonsubject
PhysicsGeneral PhysicsFinite volume methodHigh Energy Physics - Lattice (hep-lat)FOS: Physical sciencesGeneral Physics and AstronomyLattice QCD01 natural sciencesMomentumScattering amplitudeQuantization (physics)High Energy Physics - LatticePionIrreducible representationIsospin0103 physical sciencesPhysical Sciences010306 general physicsMathematical physicsdescription
We present the three-pion spectrum with maximal isospin in a finite volume determined from lattice QCD, including excited states in addition to the ground states across various irreducible representations at zero and nonzero total momentum. The required correlation functions, from which the spectrum is extracted, are computed using a newly implemented algorithm which speeds up the computation by more than an order of magnitude. On a subset of the data we extract a nonzero value of the three-pion threshold scattering amplitude using the $1/L$ expansion of the three-particle quantization condition, which consistently describes all states at zero total momentum. The finite-volume spectrum is publicly available to facilitate further explorations within the available three-particle finite-volume approaches.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-10-04 |