Abstract
We present our study on the thermal modifications of charmonia and bottomonia from spatial correlation functions at zero and nonzero momenta in quenched QCD. To accommodate the heavy quarks on the lattice we performed simulations on very fine lattices at a fixed beta value corresponding to a lattice spacing a-1 = 22:8 GeV on 1923×32, 1923 × 48, 1923 × 56, 1923 × 64 and 1923 × 96 lattices using clover-improved Wilson fermions. These lattices correspond to temperatures of 2.25Tc, 1.50Tc, 1.25Tc, 1.10Tc and 0.75Tc. To increase the signal to noise ratio in the axial-vector and scalar channels we used multi-sources for the measurement of spatial correlation functions. By investigating on the differences between spatial and temporal correlators as well as the temperature dependence of screening masses we will discuss the thermal effects in different channels of quarkonium states. Besides this the dispersion relation of the screening mass at different momenta is also discussed.
Highlights
In heavy-ion physics much effort is put into investigating the properties of quark-gluon plasma (QGP)formed after the collision
Heavy quarkonium states, which serve as a good QGP thermometer [1], are powerful probes to study the properties of the hot medium
4.1 Ratios of Correlators Before showing the results for screening mass, let us look at the ratio of correlators which gives information about how the quarkonium state behaves at high temperature compared with that at temperature below Tc in the medium
Summary
In heavy-ion physics much effort is put into investigating the properties of quark-gluon plasma (QGP). The other strategy is to study the temperature dependence of the screening mass. By examining the screening masses at different temperatures, the study of thermal effects on the quarkonia is available. One should note another important fact that the quarkonia produced in heavy-ion collisions are not at rest with respect to the medium usually. It is necessary to carry out the study on the momentum dependence as well. Studies on this using effective theories or AdS/CFT can be found in [16, 17]. The results based on lattice QCD calculations on large quenched lattices are presented
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