The Light Hadron Spectrum and Decay Constants in Quenched Lattice QCD

Details The Light Hadron Spectrum and Decay Constants in Quenched Lattice QCD The Light Hadron Spectrum and Decay Constants in Quenched Lattice QCD

1993-09-03

arxiv.org/abs/hep-lat/9309002v1

Phys.Rev.D49:474-485,1994

Physics

High Energy Physics

High Energy Physics - Lattice

27 pages, LaTeX, epsf, 11 figs (appended as 21 postscript files, uuencoded), to appear in Phys Rev D, Edinburgh Preprint: 93/5

Scientific paper

10.1103/PhysRevD.49.474

We present results for light hadrons composed of both degenerate and non-degenerate quarks in quenched lattice QCD. We calculate masses and decay constants using 60 gauge configurations with an $O(a)$--improved fermion action at $\beta = 6.2$. Using the $\rho$ mass to set the scale, we find hadron masses within two to three standard deviations of the experimental values (given in parentheses): $m_{K^*}=868\er{9}{8}$~MeV (892~MeV), $m_{\phi}=970\err{20}{10}$~MeV (1020~MeV), $m_N=820\err{90}{60}$~MeV (938~MeV), $m_\Delta=1300\errr{100}{100}$~MeV (1232~MeV) and $m_\Omega=1650\err{70}{50}$~MeV (1672~MeV). Direct comparison with experiment for decay constants is obscured by uncertainty in current renormalisations. However, for ratios of decay constants we obtain $f_K/f_\pi=1.20\er{3}{2}$ (1.22) and $f_\phi/f_\rho=1.13\er{2}{3}$ (1.22).

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