Blast-wave description of Upsilon elliptic flow at LHC energies

Reygers Klaus,Schmah Alexander,Berdnikova Anastasia, Sun Xu

arxiv(2019)

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Abstract
A simultaneous blast-wave fit to particle yields and elliptic flow ($v_{2}$) measured as a function of transverse momentum in Pb-Pb collisions at LHC energies is presented. A compact formula for the calculation of $v_2(p_T)$ for an elliptic freeze-out surface is used which follows from the Cooper-Frye ansatz without further assumptions. Over the full available $p_T$ range, the $\Upsilon$ elliptic flow data is described by the prediction based on the fit to lighter particles. This prediction shows that, due to the large $\Upsilon$ mass, a sizable elliptic flow is only expected at transverse momenta above 10 GeV/$c$.
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