Electromagnetic splitting of directed flow in heavy ion collisions
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1 Electromagnetic splitting of directed flow in heavy ion collisions Andrzej Rybicki H. Niewodniczański Institute of Nuclear Physics Polish Academy of Sciences 1) Motivation 2) Methodology 3) Splitting of directed flow - predictions for π + and π - comparisons to existing data 4) Conclusions work in collaboration with Antoni Szczurek
2 1) Motivation
3 Non-central collisions lead to: 1) azimuthal anisotropies; 2) presence of spectators. The presence of charged, rapidly moving spectators generates strong electromagnetic fields. The electromagnetic effects modify single particle spectra. A.R., A. Szczurek, Phys. Rev. C75 (2007) , A.R., Acta Phys. Polon. B42 (2011) 867 Do the electromagnetic effects influence the azimuthal correlations? ( YES ) Can we gain new information on the dynamical evolution of the participant system? ( YES )
4 2) Methodology
5 t = t E N wounded = 60 See also: A. R. and A. Szczurek, Phys. Rev. C87 (2013) the collision takes place at a given impact parameter b. the spectator systems = uniform spheres (in their rest frames). the pion emission - single point in space. The emission time t E is a free parameter. the initial distribution of the emitted pions is assumed similar to N+N collisions (scaled). Full azimuthal symmetry is assumed. charged pions are traced in the spectator EM field.
6 3) Results
7 Directed flow: v 1 < cos( f-y r ) > Reflects sidewards collective motion. Pure electromagnetic effect below.
8 Dependence on emission time t = t E y/y beam y/y beam Dependence on initial conditions.
9 Dependence on emission time t = t E Dependence on initial conditions.
10 Comparison to WA98 data t = t E Note in our model: = ( b spect t E ) t E < 1 fm data points from: H. Schlagheck (WA98 Collaboration), Nucl. Phys. A 663, 725 (2000). 0, 0.5, 1 fm
11 Results: Part II - Beam Energy Scan at RHIC See also: A. Szczurek, A.R., Proc. EPS Conf., 2013, arxiv:
12 Y. Pandit (STAR Collaboration), Acta Phys.Pol. Suppl 5, 439 (2012) We assume: We know: y/y beam This gives:
13 Dependence on emission time Dependence on initial conditions (again). y/y beam y/y beam
14 Where are we? y=0.5 In our model: t E 3 fm < 1 fm (WA98) = t ( b f spectcosh(y) sinh(y) ) t f = 5.08 fm/c y/y beam y/y beam
15 4) Conclusions Electromagnetic fields generated by charged, rapidly moving spectators lead to azimuthal distortions which can modify directed flow. The effect on positive and negative pions is opposite and leads to a splitting of v 1. This splitting is superimposed on other effects (like hydrodynamics). This effect seems to be confirmed by STAR data. The electromagnetic splitting strongly depends on the emission time of pions and can therefore be used to extract information on the space-time evolution of the system. Thank you! Additionally, many thanks to Yadav Pa Piotr Bożek, Wojciech Florkowski and
16 Acknowledgments. This work was supported by the Polish National Science Centre (on the basis of decision no. DEC-2011/03/B/ST2/02634).
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