Variational calculation of heavy-light meson properties

Abstract

We present a new method for the study of heavy-light mesons in the static approximation of lattice QCD which is optimally effective in isolating ground and excited states. With ``MOST'' (Maximal Operator Smearing Technique), the heavy quark is smeared at all possible positions relative to the light quark, subject to the constraint of cubic symmetry. With correlation functions constructed using this set as a variational basis, eigenstates of the transfer matrix are projected out at very small time separations, where statistical errors are small. We illustrate the utility of the method with preliminary results for the meson decay constant $f_B^{\mathrm{stat}}$, binding energies and wave functions of the lowest states. The method produces dynamically-improved interpolating fields which can be used for matrix element calculations.

3pages, uuencode-compressed-tar Postscript file. (160 kbytes), preprint number uk/93-05

References in corpus (3)

• A Lattice Computation of the Decay Constants of $B$ and $D$ Mesons
• Properties of Low-Lying Heavy-Light Mesons
• Heavy-Light Wavefunctions in Lattice QCD

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• Properties of B-Mesons in Lattice QCD
• Lattice Determination of Heavy-Light Decay Constants
• Measurements of the $\rho$ and $\eta$ parameters of the $V_{CKM}$ matrix and perspectives
• Non-perturbative renormalization of the static axial current in quenched QCD
• Beauty Physics in Lattice Gauge Theory
• Status of Heavy Quark Physics on the Lattice
• From Spectroscopy to the Strong Coupling Constant with Heavy Wilson Quarks
• $B$ Meson Matrix Elements from Various Heavy Quark Effective Theories
• Leptonic Decays of Heavy-Light Systems