Studying κ\kappa meson with a MILC fine lattice

Using the lattice simulations in the Asqtad-improved staggered fermion formulation we compute the point-to-point $\kappa$ correlators, which are analyzed by the rooted staggered chiral perturbation theory (rS$\chi$PT). After chiral extrapolation, we secure the physical $\kappa$ mass with $835\pm93$ MeV, which is in agreement with the BES experimental results. The computations are performed using a MILC 2+1 flavor fine gauge configuration at a lattice spacing of $a \approx 0.09$ fm.Comment: Remove some typo

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

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 $m_{K} a^{I=1}_{K\bar{K}} = 0.211(33)$. These simulations are performed with MILC gauge configurations at lattice spacing $a \approx 0.15$ fm.Comment: Add analytic expressions of $K \bar{K}$ scattering length, and remove some typo

Rummukainen-Gottlieb's formula on two-particle system with different mass

L\"uscher established a non-perturbative formula to extract the elastic scattering phases from two-particle energy spectrum in a torus using lattice simulations. Rummukainen and Gottlieb further extend it to the moving frame, which is devoted to the system of two identical particles. In this work, we generalize Rummukainen-Gottlieb's formula to the generic two-particle system where two particles are explicitly distinguishable, namely, the masses of the two particles are different. The finite size formula are achieved for both $C_{4v}$ and $C_{2v}$ symmetries. Our analytical results will be very helpful for the study of some resonances, such as kappa, vector kaon, and so on.Comment: matching its published paper and make it concise, and to remove text overlap with arXiv:hep-lat/9503028, arXiv:hep-lat/0404001 by other author