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The static approximation of heavy-light quark systems. A detailed lattice study

1992/11/16 by Constantia Alexandrou, C. Alexandrou, S. Güsken +6 · 6 citations
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1016/0550-3213(94)90262-3

published as Nucl.Phys. B414 (1994) 815-855 · 33 latex pages, CERN-th 6692/92, PSI-PR-92-27, WU 92-34

arxiv created 1992/11/16 · openalex publication_date 1994/02/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We present a study of \it finite a and \it volume effects of the leptonic decay constant f of heavy pseudoscalar mesons in the static approximation. This study is performed on a number of lattices at β= 5.74,~6.0 and 6.26 covering sizes from about 0.7~fm to 2~fm. We confirm that beyond 1.5~fm the volume dependence is negligible. By carefully analysing results obtained using different trial wave functions for the heavy meson we find no dependence on the smearing. We also give results for the mass difference of the scalar - pseudoscalar and the Λb - pseudoscalar. Using the mass of the pseudoscalar meson we estimate the distance of string breaking in the static quark potential.

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