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We study hadron properties near the deconfining transition in the quenchedlattice QCD simulation. This paper focuses on the heavy quarkonium states, suchas $J/\psi$ meson. In order to treat heavy quarks at $T>0$, we adopt the $O(a)$improved Wilson action on anisotropic lattice. We discuss $c\bar{c}$ boundstate observing the wave function and compare the meson correlators at aboveand below $T_c$. Although we find a large change of correlator near the $T_c$,the strong spatial correlation which is almost the same as confinement phasesurvives even $T\sim 1.5T_c$.Comment: 19 pages, 10 figure

THE STUDY OF CHARMONIA NEAR THE DECONFINING TRANSITION ON AN ANISOTROPIC LATTICE WITH O(a) IMPROVED QUARK ACTION