Phase shift of isospin-2 scattering from lattice QCD
Nov, 2010
4 pages
Published in:
- Phys.Rev.D 83 (2011) 071504
e-Print:
- 1011.6352 [hep-ph]
Report number:
- JLAB-THY-10-1291,
- TCDMATH-10-09
Citations per year
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
References(23)
Figures(6)