Hadron Masses and Decay Constants with Wilson Quarks at $β=5.85$ and 6.0

Details Hadron Masses and Decay Constants with Wilson Quarks at $β=5.85$ and 6.0 Hadron Masses and Decay Constants with Wilson Quarks at $β=5.85$ and 6.0

1995-12-28

arxiv.org/abs/hep-lat/9512031v1

Phys.Rev. D53 (1996) 6443-6464

Physics

High Energy Physics

High Energy Physics - Lattice

50 pages, 30 figures

Scientific paper

10.1103/PhysRevD.53.6443

We present results of a high statistics calculation of hadron masses and meson decay constants in the quenched approximation to lattice QCD with Wilson quarks at $\beta=$ 5.85 and 6.0 on $24^3 \times 54$ lattices. We analyze the data paying attention in particular to the systematic errors due to the choice of fitting range and due to the contamination from excited states. We find that the systematic errors for the hadron masses with quarks lighter than the strange quark amount to 1 --- 2 times the statistical errors. When the lattice scale is fixed from the $\rho$ meson mass, the masses of the $\Omega^{-}$ baryon and the $\phi$ meson at two $\beta$'s agree with experiment within about one standard deviation. On the other hand, the central value of the nucleon mass at $\beta=6.0$ (5.85) is larger than its experimental value by about 15\% (20\%) and that of the $\Delta$ mass by about 15\% (4\%): Even when the systematic errors are included, the baryon masses at $\beta=6.0$ do not agree with experiment. Vector meson decay constants at two values of $\beta$ agree well with each other and are consistent with experiment for a wide range of the quark mass, when we use current renormalization constants determined nonperturbatively by numerical simulations. The pion decay constant agrees with experiment albeit with large errors. Results for the masses of excited states of the $\rho$ meson and the nucleon are also presented.

Affiliated with

Also associated with

No associations

Rating

Hadron Masses and Decay Constants with Wilson Quarks at $β=5.85$ and 6.0 does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hadron Masses and Decay Constants with Wilson Quarks at $β=5.85$ and 6.0, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hadron Masses and Decay Constants with Wilson Quarks at $β=5.85$ and 6.0 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-4873