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A simple model for higher moments of net proton distributions in Au+Au and Cu+Cu collisions. Chun-Bin Yang 杨纯斌 Central China Normal University cbyang@mail.ccnu.edu.cn. Based on Phys. Rev. C85 , 044905 (2012) J.Phys. G40 (2013) 075103. Outline. Motivations
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A simple model for higher moments of net proton distributions in Au+Au and Cu+Cu collisions Chun-Bin Yang 杨纯斌 Central China Normal University cbyang@mail.ccnu.edu.cn Based on Phys. Rev. C85, 044905 (2012) J.Phys. G40 (2013) 075103
Outline • Motivations • Model considerations • Net-proton distributions and their moments • Centrality dependence of the distributions • Energy dependence of model parameters • Difference between results for Au+Au and Cu+Cu • Discussions
Motivations • Fluctuations of conserved quantities are sensitive indicators for the structure of the created system • Moments of the distributions related to the susceptibilities • At the critical point, susceptibilities divergent
Higher order moments depend on the correlation lengthξmore stronger • They can be used to get information on the critical point in QCD diagram • In HIC, the correlation length is finite due to finite system size and rapid expansion arXiv:1006.4636
STAR experimental results
Theoretical results from AMPT AMPT: AMulti-Phase Transport model Not sensitive to the pT cut Almost the same for net proton, net charged baryon or net baryon
Model considerations • Normal nuclear effects in HIC • Nuclear stopping • Average net baryon number changes withcms energy and collision centrality • Baryon pair creation in the interactions • Diffusion of baryon number and energy • Can these effects explain the data?
Properties of emission source Initial property Initial mean baryon number B baryon stopping Initial baryon number N0: random Initial proton number Np
Properties of emission source • Baryon pair production from the source • Randomness? Yes! • Independent? Probably! • Energy density dependent? Yes! • Centrality dependent Yes! μ is the mean number of produced pairs
Properties of emission source Isospin conservation When N1 proton, N2 antiproton, N3 neutronand N4 antineutron produced Probability for having N1 protons Similarly for antiproton
Properties of emission source Net-proton Δp distribution Two parameters: μandBρ
Centrality dependence of parameters • If each participant nucleon has exactly the same interactions with other nucleons • Bρ∝Np • μ ∝Np • Centrality dependent interactions • Multiple scattering • Baryon diffusion parameters depending on colliding energy
Energy dependence of parameters • Study the moments for Au+Au collisions at different energies • We have data for the moments at 19.6,39,62.4 and 200 GeV • Use four free parameters to fit the moments • Parameterize the energy dependence of the parameters • Calculate the net-proton distributions at any energy
At high energy, net-proton distributions become quitesymmetric, but not of Gaussian form
For Cu+Cu collisions The interaction system is smaller, and baryonpair production can be correlated fitting results show c independent of centrality
Discussion and conclusion • The net-proton distributions are reproducedfrom baryon stopping and pair production • Centrality and energy dependence investigated • The distributions at different energies are predicted • Questions: • Dynamical properties of sources? • Dynamics for the parameters • How to detect novel physics from the distribution?