Title

pi K scattering in full QCD with domain-wall valence quarks

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)similar to 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(-0.0058)(+0.0024) and m(pi)a(1/2)=0.1725 +/- 0.0017(-0.0156)(+0.0023) 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.

Department

Physics

Publication Date

12-8-2006

Journal Title

Physical Review D

Publisher

AMERICAN PHYSICAL SOCIETY

Digital Object Identifier (DOI)

10.1103/PhysRevD.74.114503

Document Type

Article

Rights

© 2006 The American Physical Society

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