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Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks

Silas R. Beane·Paulo F. Bedaque·Thomas C. Luu·Kostas Orginos·Elisabetta Pallante·Assumpta Parreno·Martin J. Savage
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Abstract

We calculate the pi+ K+ scattering length in fully-dynamical lattice QCD with domain-wall valence quarks on MILC lattices with rooted staggered sea-quarks at a lattice spacing of b=0.125 fm, lattice spatial size of L =2.5 fm and at pion masses of m_pi=290, 350, 490 and 600 MeV. The lattice data, analyzed at next-to-leading order in chiral perturbation theory, allows an extraction of the full pi K scattering amplitude at threshold. Extrapolating to the physical point gives m_pi a_3/2 = -0.0574 (+- 0.0016)(+0.0024 -0.0058) and m_pi a_1/2 = 0.1725 (+- 0.0017)(+0.0023 -0.0156) for the I=3/2 and I=1/2 scattering lengths, respectively, where the first error is statistical and the second error is an estimate of the systematic due to truncation of the chiral expansion.

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Silas R. Beane, Paulo F. Bedaque, Thomas C. Luu, Kostas Orginos, Elisabetta Pallante, Assumpta Parreno, Martin J. Savage. 2006-07-26. Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks. https://doi.org/10.1103/physrevd.74.114503

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