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arXiv · 1203.6041

S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD

Jozef J. Dudek·Robert G. Edwards·Christopher E. Thomas
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Abstract

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.

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Jozef J. Dudek, Robert G. Edwards, Christopher E. Thomas. 2012-09-19. S and D-wave phase shifts in isospin-2 pi pi scattering from lattice QCD. https://doi.org/10.1103/physrevd.86.034031

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