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We consider a rotating quark-antiquark $(q\bar{q})$ pair in
$\mathcal{N}=4$ thermal plasma. By using AdS/CFT correspondence,
the properties of this system have been investigated. We study
variation of rotating string radius at the boundary as a function
of the tip of U-shape string and angular velocity of rotating
meson. We also extend the results to the higher derivative
corrections i.e. ${\cal{R}}^2$ and ${\cal{R}}^4$ which correspond
to finite coupling corrections on the rotating quark-antiquark
system in the hot plasma. In ${\cal{R}}^4$ case, the results are
similar to the case without correction, except that screening length will be smaller. To study ${\cal{R}}^2$ corrections,
rotating quark-antiquark system in Gauss-Bonnet background has been considered. In general effect of these corrections \fixme{say general result}%
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