ON THE TEMPERATURE-DEPENDENCE OF QUARKONIA CORRELATORS. Page: 4 of 10
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potential model calculations (see for instance [ 5]), these lattice results indicate
that the 1S charmonium survives up to 1.5 T, and the 1P charmonium dissolves
by 1.16 T,. The spectral functions, extracted from the correlators using the Maxi-
mum Entropy Method, not only reinforce these findings, but also indicate that the
properties of the 1S states do not change up to these temperatures [ 4].
0.75T0 -- 1.05
1.8 1.1T --
1.c .-r + .Ii~T~~
vI II f
1.2 0.95
0.9T --
! j ~ 1.5T --e--
I _ .... .. 2.25T0
0.9 . 0.9 C
0 0.1' t' 0.2 0.3 0.4 0.1 0.2 0.3
T[fM] T[M]
Fig. 1. Temperature dependence of scalar (left panel) and pseudo-scalar (right
panel) correlators obtained on the lattice (from [ 4]).
After the appearance of the lattice data, potential models have been reconsid-
ered using different temperature dependent potentials [ 6, 7, 8, 9]. With these
models quarkonium dissociation temperatures in accordance with the above quoted
numbers from the lattice were identified. In [ 10, 11] however, it has been shown,
that even though potential models with certain screened potentials can reproduce
qualitative features of the lattice spectral function, such as the survival of the 1S
state and the melting of the 1P state, the temperature dependence of the meson
correlators is not reproduced. Furthermore, the properties of the states determined
with these screened potentials do not seem to reproduce the results indicated by
the lattice spectral functions.
The question is thus whether medium modifications of quarkonia correlators
can be understood via a temperature-dependent quark-antiquark potential? If yes,
what is the potential? And if not, then what is the relevant mechanism responsible
for the dissociation of quarkonia at high temperatures?
Here I review some of the main results of [ 10, 11], and then present a simple toy
model with no explicit screened potential which provides results that are consistent
with the lattice correlator data. Further developments are discussed in the Outlook.
2. Model Spectral Function and Potentials
In order to make direct comparison with the lattice data we calculate the ratio
of correlators (1). We model the finite temperature spectral function in a given
quarkonium channel as the sum of bound state (resonance) contributions and the2
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MOCSY, A. ON THE TEMPERATURE-DEPENDENCE OF QUARKONIA CORRELATORS., article, March 11, 2006; [Upton, New York]. (https://digital.library.unt.edu/ark:/67531/metadc890413/m1/4/: accessed April 19, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.