Preliminary lattice study of the I=1 $K\bar{K}$ scattering length

Abstract

The s-wave kaon-antikaon ($K\bar{K}$) elastic scattering length is investigated by lattice simulation using pion masses $m_{\pi }=330-466$ MeV. Through moving wall sources without gauge fixing, we calculate $K\bar{K}$ four-point correlation functions for isospin I=1 channel in the "Asqtad" improved staggered fermion formulation, and observe a clear signal of attraction, which is consistent with other pioneering lattice studies on $K\bar{K}$ potential. Extrapolating $K\bar{K}$ scattering length to the physical point, we obtain $m_K{a}_{K\bar{K}}^{I=1}=0.211(33)$. These simulations are performed with MILC gauge configurations at lattice spacing $a\approx 0.15$ fm.

Comments: Add analytic expressions of $K\bar{K}$ scattering length, and remove some typos