pi K scattering in full QCD with domain-wall valence quarks
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.
Physical Review D
AMERICAN PHYSICAL SOCIETY
Digital Object Identifier (DOI)
Beane, Silas R.; Bedaque, Paulo F.; Luu, Thomas C.; Originos, Kostas; Pallante, Elisabetta; Parreno, Assumpta; and Savage, Martin J., "pi K scattering in full QCD with domain-wall valence quarks" (2006). Physical Review D. 117.
© 2006 The American Physical Society