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Light hadron spectrum and decay constants in quenched lattice QCD

R.D. Kenway, B.J. Pendleton, Christopher T. Sachrajda, D.G. Richards, K.C. Bowler, S.P. Booth, D.S. Henty, J.N. Simone Orcid Logo, A.D. Simpson, R.M. Baxter, L. Lellouch, H. Wittig, C. McNeile, Chris Allton Orcid Logo

Physical Review D, Volume: 49, Issue: 1, Pages: 474 - 485

Swansea University Author: Chris Allton Orcid Logo

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Abstract

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 m...

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Published in: Physical Review D
ISSN: 0556-2821
Published: 1994
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa28429
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Abstract: 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).
College: Faculty of Science and Engineering
Issue: 1
Start Page: 474
End Page: 485