Quenched charmonium spectrum on anisotropic lattices
CP-PACS Collaboration : A. Ali Khan, S. Aoki, R. Burkhalter, S. Ejiri,, M. Fukugita, S. Hashimoto, N. Ishizuka, Y. Iwasaki, K. Kanaya, T. Kaneko, Y., Kuramashi, K.-I. Nagai, M. Okamoto, M. Okawa, H.P. Shanahan, Y. Taniguchi, A., Ukawa, T. Yoshi\'e

TL;DR
This paper calculates the quenched charmonium spectrum using anisotropic lattices and relativistic heavy quark methods, analyzing mass splittings and comparing results with previous studies to improve understanding of charmonium states.
Contribution
It introduces a relativistic heavy quark approach on anisotropic lattices for quenched charmonium spectrum calculations, providing new insights into mass splittings and scaling behaviors.
Findings
Mass splittings are consistent with previous results
Scaling behavior of hyperfine splittings analyzed
Results support the effectiveness of the relativistic heavy quark method
Abstract
We present the results of quenched charmonium spectrum for S- and P-states, obtained by a relativistic heavy quark method on anisotropic lattices. Simulations are carried out using the standard plaquette gauge action and a meanfield-improved clover quark action at --6 GeV with the renormalized anisotropy fixed to . We study the scaling of our fine and hyperfine mass splittings, and compare with previous results.
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