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 (54)

• A Method for Simulating Chiral Fermions on the Lattice
• Chiral Fermions from Lattice Boundaries
• Resonance Scattering Phase Shifts on a Non-Rest Frame Lattice
• Full nonperturbative QCD simulations with 2+1 flavors of improved staggered quarks
• The QCD spectrum with three quark flavors
• Weak transition matrix elements from finite-volume correlation functions
• Light hadrons with improved staggered quarks: approaching the continuum limit
• Multiple-channel generalization of Lellouch-Luscher formula
• Lattice QCD on Small Computers
• Hadron Scattering Lengths in Lattice QCD
• Unitarized Chiral Perturbation Theory in a finite volume: scalar meson sector
• Resonance Parameters of the rho-Meson from Lattice QCD
• Stochastic Estimation with $Z_2$ Noise
• Coupled channel analysis of the rho meson decay in lattice QCD
• Lattice QCD Calculation of the $\rho$ Meson Decay Width
• Scattering phase shifts for two particles of different mass and non-zero total momentum in lattice QCD
• Rummukainen-Gottlieb's formula on two-particle system with different mass
• $\rho$ Meson Decay in 2+1 Flavor Lattice QCD
• The $e^{+}{e}^{-}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$, $K^{+}{K}^{-}{\pi }^0{\pi }^0$ and $K^{+}{K}^{-}{K}^{+}{K}^{-}$ Cross Sections Measured with Initial-State Radiation
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Improving the Volume Dependence of Two-Body Binding Energies Calculated with Lattice QCD
• Staggered eigenvalue mimicry
• Constant contribution in meson correlators at finite temperature
• Quark mass dependence of hadron masses from lattice QCD
• Evidence for kappa Meson Production in J/psi -> bar{K}^*(892)^0K^+pi^- Process
• I=2 $\pi \pi$ Scattering Phase Shift with two Flavors of $O(a)$ Improved Dynamical Quarks
• The pi+ pi+ scattering length from maximally twisted mass lattice QCD
• Strange and non-strange quark mass dependence of elastic light resonances from SU(3) Unitarized Chiral Perturbation Theory to one loop
• Staggered Chiral Perturbation Theory and the Fourth-Root Trick
• Scaling tests with dynamical overlap and rooted staggered fermions
• Observations on staggered fermions at non-zero lattice spacing
• $I=2$ pion scattering amplitude with Wilson fermions
• K pi scattering for isospin 1/2 and 3/2 in lattice QCD
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Chiral anomalies and rooted staggered fermions
• Hadronic decay of a vector meson from the lattice
• Matrix elements of unstable states
• K pi vector form factor constrained by tau ---> K pi nu_tau and K_l3 decays
• An Exploratory Study of Nucleon-Nucleon Scattering Lengths in Lattice QCD
• 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
• Lattice study on $\pi K$ scattering with moving wall source
• Validity of the Rooted Staggered Determinant in the continuum limit
• The author replies
• Reducing Chiral Symmetry Violations in Lattice QCD with Domain-Wall Fermions
• Dalitz Plot Analysis of Ds to K+K-pi+
• Lattice study of K pi scattering in I = 3/2 and 1/2
• Lattice study on kaon pion scattering length in the $I=3/2$ channel
• Lattice QCD calculation of $\pi \pi$ scattering length
• Preliminary lattice study of $\sigma$ meson decay width
• The preliminary lattice QCD calculation of $\kappa$ meson decay width
• Preliminary lattice study of the I=1 $K\bar{K}$ scattering length
• Hadronic Coupling Constants in Lattice QCD

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