S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD
Mar, 2012
33 pages
Published in:
- Phys.Rev.D 86 (2012) 034031
e-Print:
- 1203.6041 [hep-ph]
Report number:
- JLAB-THY-12-1504,
- TCDMATH-12-03
Citations per year
Abstract: (arXiv)
The isospin-2 pi pi system provides a useful testing ground for determining elastic hadron scattering parameters from finite-volume spectra obtained using lattice QCD computations. A reliable determination of the excited state spectrum of two pions in a cubic box follows from variational analysis of correlator matrices constructed using a large basis of operators. A general operator construction is presented which respects the symmetries of a multi-hadron system in flight. This is applied to the case of pi pi and allows for the determination of the scattering phase-shifts at a large number of kinematic points, in both S-wave and D-wave, within the elastic region. The technique is demonstrated with a calculation at a pion mass of 396 MeV, where the elastic scattering is found to be well described by a scattering length parameterisation.Note:
- Tables of little-group CGCs in ancillary file/ v2: minor changes to reflect published version
- 12.38.Gc
- 14.40.Be
- pi pi: elastic scattering
- partial wave
- phase shift
- isospin: 2
- quantum chromodynamics
- lattice
- finite size
- operator
References(0)
Figures(33)
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