Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-10-27
JHEP01(2012)017
Physics
High Energy Physics
High Energy Physics - Lattice
Scientific paper
10.1007/JHEP01(2012)017
We present a direct lattice QCD calculation of the $\kappa$ meson decay width using the s-wave scattering phase shift for isospin $I=1/2$ pion-kaon ($\pi K$) system. We employ a special finite size formula, which is the extension of Rummukainen-Gottlieb formula for $\pi K$ system in moving frame, to calculate the phase shift, which demonstrates a characteristic consistent with the presence of a resonance around $\kappa$ meson mass. The effective range formula is adopted to describe the phase-shift dependence and we extract the effective $\kappa \to \pi K$ coupling constant $g_{\kappa \pi K} = 4.54(76)$ GeV. The decay width estimated from phase shift is about $293 \pm 101$ MeV, which is reasonably near to the values of the recent experimental measurements. Our preliminary lattice simulations are carried out with MILC full QCD gauge configurations in the presence of 2+1 flavors of "Asqtad" improved staggered dynamical sea quarks on a $16^3\times48$ lattice at $(m_\pi + m_K) / m_\kappa \approx 0.8$ and lattice spacing $a \approx 0.15$ fm.
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