Correlation between mean transverse momentum and charged particle multiplicity based on geometrical superposition of p-Pb collisions

The mean transverse momentum left angle p_T right angle as a function of the charged-particle multiplicity N_ch in pp, p-Pb and Pb-Pb collisions was recently published by ALICE. While in pp and in p-Pb collisions a strong increase of left angle p_T right angle with N_ch is observed, Pb-Pb collisions show a saturation at a much lower left angle p_T right angle. Efforts of reproducing this behaviour in Pb-Pb with a superpositon of nucleon-nucleon interactions do not succeed. A superposition of p-Pb collisions seems to be more promising, since the p-Pb data shows characteristics of both pp and Pb-Pb collisions. The geometric distribution of the p-Pb impact parameters is based on the Woods-Saxon density distribution. Using the correlation of the impact parameter and the multiplicity N_ch in p-Pb collisions a multiplicity-spectrum was generated. Combining this spectrum with experimental p-Pb data we present left angle p_T right angle as a function of N_ch in simulated Pb-Pb collisions and compare it to the correlation measured in Pb-Pb by ALICE.