Lattice study on kaon nucleon scattering length in the I=1 channel

TL;DR

This study calculates the kaon-nucleon scattering length in the I=1 channel using lattice QCD with improved actions, extrapolating to physical conditions and comparing with experimental and theoretical results.

Contribution

First lattice QCD calculation of the kaon-nucleon scattering length in the I=1 channel with systematic error analysis and continuum extrapolation.

Findings

Results agree with experimental data

Finite volume and lattice spacing effects are quantified

Extrapolation to physical and continuum limits is successful

Abstract

Using the tadpole improved clover Wilson quark action on small, coarse and anisotropic lattices, $KN$ scattering length in the I=1 channel is calculated within quenched approximation. The results are extrapolated towards the chiral and physical kaon mass region. Finite volume and finite lattice spacing errors are also analyzed and a result in the infinite volume and continuum limit is obtained which is compatible with the experiment and the results from Chiral Perturbation Theory.