Lattice study on kaon pion scattering length in the $I=3/2$ channel

Abstract

Using the tadpole improved Wilson quark action on small, coarse and anisotropic lattices, $K\pi$ scattering length in the $I=3/2$ 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. Our result is compared with the results obtained using Roy equations, Chiral Perturbation Theory, dispersion relations and the experimental data.

Latex file typeset with elsart.cls, 9 pages, 3 figures

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Cited by in corpus (19)

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• K pi scattering for isospin 1/2 and 3/2 in lattice QCD
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• Scattering lengths for two pseudoscalar meson systems
• Signatures of S-wave bound-state formation in finite volume
• Hadronic Interactions from Lattice QCD
• Lattice study on $\pi K$ scattering with moving wall source
• Lattice QCD study of mixed systems of pions and kaons
• Dispersive $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ amplitudes from scattering data, threshold parameters and the lightest strange resonance $\kappa$ or $K_0^{\ast }(700)$
• Determination of the lightest strange resonance $K_0^{\ast }(700)$ or $\kappa$, from a dispersive data analysis
• Lattice QCD study on $K^{\ast }(892)$ meson decay width
• $I=1/2$ $S$-wave and $P$-wave $K\pi$ scattering and the $\kappa$ and $K^{\ast }$ resonances from lattice QCD
• Lattice study of K pi scattering in I = 3/2 and 1/2
• Strange Hadron Spectroscopy with Secondary KL Beam in Hall D
• Massive Domain Wall Fermions on Four-dimensional Anisotropic Lattices
• Restless pions: orbifold boundary conditions and noise suppression in lattice QCD
• Contraction Diagram Analysis in Pion-Kaon Scattering
• Massive Overlap Fermions on Anisotropic Lattices