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S-Wave πK Scattering Length in 2+1 Flavor Lattice QCD(Exotic Hadrons,New Frontiers in QCD 2010-Exotic Hadron Systems and Dense Matter-) :

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  • S-wave πK scattering length in 2+1 flavor lattice QCD
  • S wave pK scattering length in 2 1 flavor lattice QCD
  • S-wave πK scattering length in 2+1 flavor lattice QCD
  • New frontiers in QCD 2010: exotic hadron systems and dense matter
  • New frontiers in QCD 2010 exotic hadron systems and dense matter

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Abstract

The S-wave πK scattering lengths are calculated for both the isospin 1/2 and 3/2 channels in the lattice QCD by using the finite size formula. We perform the calculation with N_f=2+1 gauge configurations generated on 32^3×64 lattice using the Iwasaki gauge action and nonperturbatively O(a)-improved Wilson action at 1/a=2.17GeV. The quark masses correspond to m_π=0.29-0.70GeV. For I=1/2, to separate the contamination from excited states, we construct a 2×2 matrix of the time correlation function and diagonalize it. Here, we adopt the two kinds of operators, s^^-u and πK. It is found that the signs of the scattering lengths are in agreement with experiment, namely attraction in I=1/2 and repulsion in I=3/2. We investigate the quark-mass dependence of the scattering lengths and also discuss the limitation of chiral perturbation theory.

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