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P-wave ππ scattering and the ρ resonance from lattice QCD

Constantia Alexandrou1,2, Luka Leskovec3,*, Stefan Meinel3,4,†, John Negele5, Srijit Paul2, Marcus Petschlies6,‡, Andrew Pochinsky5, Gumaro Rendon3, and Sergey Syritsyn4,7

  • 1Department of Physics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
  • 2Computation-based Science and Technology Research Center, Cyprus Institute, 20 Kavafi Str., 2121 Nicosia, Cyprus
  • 3Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
  • 4RIKEN BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
  • 5Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 6Helmholtz-Institut für Strahlen- und Kernphysik, Rheinische Friedrich-Wilhelms-Universität Bonn, Nußallee 14-16, D-53115 Bonn, Germany
  • 7Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA

  • *leskovec@email.arizona.edu
  • †smeinel@email.arizona.edu
  • ‡marcus.petschlies@hiskp.uni-bonn.de
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Phys. Rev. D 96, 034525 – Published 31 August, 2017

DOI: https://doi.org/10.1103/PhysRevD.96.034525

Abstract

We calculate the parameters describing elastic I=1, P-wave ππ scattering using lattice QCD with 2+1 flavors of clover fermions. Our calculation is performed with a pion mass of mπ≈320  MeV and a lattice size of L≈3.6  fm. We construct the two-point correlation matrices with both quark-antiquark and two-hadron interpolating fields using a combination of smeared forward, sequential and stochastic propagators. The spectra in all relevant irreducible representations for total momenta |P→|≤32πL are extracted with two alternative methods: a variational analysis as well as multiexponential matrix fits. We perform an analysis using Lüscher’s formalism for the energies below the inelastic thresholds, and investigate several phase shift models, including possible nonresonant contributions. We find that our data are well described by the minimal Breit-Wigner form, with no statistically significant nonresonant component. In determining the ρ resonance mass and coupling we compare two different approaches: fitting the individually extracted phase shifts versus fitting the t-matrix model directly to the energy spectrum. We find that both methods give consistent results, and at a pion mass of amπ=0.18295(36)stat obtain gρππ=5.69(13)stat(16)sys, amρ=0.4609(16)stat(14)sys, and amρ/amN=0.7476(38)stat(23)sys, where the first uncertainty is statistical and the second is the systematic uncertainty due to the choice of fit ranges.

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Phys. Rev. D 96, 034525– Published 31 August, 2017
  • Received 25 April 2017
Article part of CHORUS

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