Phase shift of isospin-2 ππ\pi\pi scattering from lattice QCD

Nov, 2010
4 pages
Published in:
  • Phys.Rev.D 83 (2011) 071504
e-Print:
Report number:
  • JLAB-THY-10-1291,
  • TCDMATH-10-09

Citations per year

20102014201820222024051015
Abstract: (arXiv)
Finite-volume lattice QCD calculations offer the possibility of extracting resonance parameters from the energy-dependent elastic phase-shift computed using the Luescher technique. In this letter, as a trial of the method, we report on the extraction of the non-resonant phase-shift for S and D-wave pi-pi isospin-2 scattering from dynamical lattice QCD computations. We define a variational basis of operators resembling pairs of pions of definite relative momentum and extract a spectrum of excited states that maps to phase-shifts at a set of discrete scattering momenta. Computations are performed with pion masses between 400 and 520 MeV on multiple spatial volumes. We observe no significant quark mass dependence in the phase-shifts extracted which are in reasonable agreement with the available experimental data at low momentum.
Note:
  • 5 pages, updated to reflect published version
  • 12.38.Gc
  • 14.40.Be
  • 13.75.Lb
  • pi pi: scattering
  • quark: mass dependence
  • pi: mass
  • phase shift
  • numerical calculations
  • finite size
  • partial wave