Charmonium Spectrum from Quenched Anisotropic Lattice QCD

Details Charmonium Spectrum from Quenched Anisotropic Lattice QCD Charmonium Spectrum from Quenched Anisotropic Lattice QCD

2001-12-16

arxiv.org/abs/hep-lat/0112020v2

Phys.Rev.D65:094508,2002

Physics

High Energy Physics

High Energy Physics - Lattice

43 pages, 49 eps figures, revtex; minor changes, version to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.65.094508

We present a detailed study of the charmonium spectrum using anisotropic lattice QCD. We first derive a tree-level improved clover quark action on the anisotropic lattice for arbitrary quark mass. The heavy quark mass dependences of the improvement coefficients, i.e. the ratio of the hopping parameters $\zeta=K_t/K_s$ and the clover coefficients $c_{s,t}$, are examined at the tree level. We then compute the charmonium spectrum in the quenched approximation employing $\xi = a_s/a_t = 3$ anisotropic lattices. Simulations are made with the standard anisotropic gauge action and the anisotropic clover quark action at four lattice spacings in the range $a_s$=0.07-0.2 fm. The clover coefficients $c_{s,t}$ are estimated from tree-level tadpole improvement. On the other hand, for the ratio of the hopping parameters $\zeta$, we adopt both the tree-level tadpole-improved value and a non-perturbative one. We calculate the spectrum of S- and P-states and their excitations. The results largely depend on the scale input even in the continuum limit, showing a quenching effect. When the lattice spacing is determined from the $1P-1S$ splitting, the deviation from the experimental value is estimated to be $\sim$30% for the S-state hyperfine splitting and $\sim$20% for the P-state fine structure. Our results are consistent with previous results at $\xi = 2$ obtained by Chen when the lattice spacing is determined from the Sommer scale $r_0$. We also address the problem with the hyperfine splitting that different choices of the clover coefficients lead to disagreeing results in the continuum limit.

Affiliated with

Also associated with

No associations

Rating

Charmonium Spectrum from Quenched Anisotropic Lattice QCD 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 Charmonium Spectrum from Quenched Anisotropic Lattice QCD, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Charmonium Spectrum from Quenched Anisotropic Lattice QCD will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-261543