The Static Approximation of Heavy-Light Quark-Systems - A Systematic Lattice Study

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 \(\beta=\) 5.74,~6.0 and 6.26 covering sizes from about 0.7~\(fm\) to 2~\(fm\). We confi...

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Bibliographic Details
Published in:arXiv.org 1992-11
Main Authors: Alexandrou, C, Guesken, S, Jegerlehner, F, Schilling, K, Sommer, R
Format: Article
Language:English
Subjects:
Approximation
Dependence
Galling
Lattices
Mathematical analysis
Mesons
Quarks
Wave functions
Online Access:Get full text
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Summary: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 \(\beta=\) 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 \(\Lambda _{b}\) - pseudoscalar. Using the mass of the pseudoscalar meson we estimate the distance of string breaking in the static quark potential.
ISSN:2331-8422
DOI:10.48550/arxiv.9211042