München 2019 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 58: Heavy-Ion Collisions and QCD Phases X

HK 58.6: Talk

Friday, March 22, 2019, 15:30–15:45, HS 15

Non-Bessel-Gaussianity of Flow Distribution — •Seyed Farid Taghavi — Technical University of Munich, James-Franck-Str. 1, 85748 Garching, Germany

There is a strong evidence that the produced matter in the heavy ion collision exhibits non-trivial collective behavior. Moreover, we know that the initial energy density produced after the collision depends on both the collision geometry and the quantum fluctuations of the nucleons inside the nucleus. According to this picture, the footprint of the collision geometry and quantum fluctuations can be observed in the final particle momentum distribution after the collective evolution of the initial state. This picture is mostly examined by studying the cumulants of momentum distributions in the experiment. In the present talk, we connect observed cumulants to the momentum distribution systematically. The final particle momentum distribution is approximately considered as Bessel-Gaussian distribution while the cumulants of the distribution show non-Bessel-Gaussianity. Here, we introduce an expansion (Gram-Charlier A series) around Bessel-Gaussian distribution and connect the non-Bessel-Gaussianity to the observed cumulant fine-splitting. Also we disentangle the effect of the collision geometry from quantum fluctuations in the cumulants. Using this approach, we introduce new estimators for average ellipticity. Also we show how one can restrict the phase space of the observed cumulants into specific allowed regions.