Thermal modifications of charmonia and bottomonia from spatial correlation functions

TL;DR

This study investigates how charmonia and bottomonia are affected by temperature changes in a quenched QCD framework, analyzing spatial correlation functions at various temperatures and momenta to understand their thermal modifications.

Contribution

The paper introduces a detailed lattice QCD analysis of quarkonium thermal modifications using fine lattices and multi-source techniques across multiple temperatures.

Findings

Thermal effects vary across different quarkonium channels.

Screening masses show temperature dependence.

Dispersion relations of screening masses are characterized.

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 $192^3\times32$, $192^3\times48$, $192^3\times56$, $192^3\times64$ and $192^3\times96$ lattices using clover-improved Wilson fermions. These lattices correspond to temperatures of $2.25 T_c$, $1.50 T_c$, $1.25 T_c$, $1.10 T_c$ and $0.75 T_c$. 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.