Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1992-11-16
Nucl.Phys. B414 (1994) 815-855
Physics
High Energy Physics
High Energy Physics - Lattice
33 latex pages, CERN-th 6692/92, PSI-PR-92-27, WU 92-34
Scientific paper
10.1016/0550-3213(94)90262-3
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.
Alexandrou Constantia
Guesken S.
Jegerlehner Fred
Schilling Klaus
Sommer Rainer
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