Lattice QCD study on $K^{\ast }(892)$ meson decay width

Abstract

We deliver an exploratory lattice QCD examination of the $K^{\ast }(892)$ meson decay width with the help of the p-wave scattering phase ${\delta }_1$ of pion-kaon ($\pi K$) system in the isospin $I=1/2$ channel, which are extracted by the modified Rummukainen-Gottlieb formula for two-particle system with arbitrary mass, and it clearly reveals the entity of a resonance at a mass around $K^{\ast }(892)$ meson mass. The effective range formula is applied to describe the energy dependence of the scattering phase and we obtain the effective $K^{\ast }\to \pi K$ coupling constant as $g_{K^{\ast }\pi K}=6.38(78)$, and subsequently achieve the decay width to be $64.9\pm 8.0$ MeV, which is in reasonable accordance with the current experiment. Our lattice investigations are conducted on a $20^3\times 48$ MILC full QCD gauge configuration at $(m_{\pi }+m_K)/m_{K^{\ast }}\approx 0.739$ and the lattice spacing $a\approx 0.15$ fm.

Correct some typos and replace some figures with high quality ones

References in corpus (12)

• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Constant contribution in meson correlators at finite temperature
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Observations on staggered fermions at non-zero lattice spacing
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Chiral anomalies and rooted staggered fermions
• K pi vector form factor constrained by tau ---> K pi nu_tau and K_l3 decays
• Comment on "Chiral anomalies and rooted staggered fermions"
• Tuning Fermilab Heavy Quarks in 2+1 Flavor Lattice QCD with Application to Hyperfine Splittings
• Lattice fermions with complex mass
• Validity of the Rooted Staggered Determinant in the continuum limit
• The author replies

Cited by in corpus (5)

• Resonances in coupled πK,ηK scattering from quantum chromodynamics
• Resonances in coupled $\pi K,\eta K$ scattering from lattice QCD
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
• K-pi interaction in finite volume and the K* resonance
• I=1/2 low-lying mesons in lattice QCD