Correlation functions of net-proton multiplicity distributions in Au + Au collisions at energies available at the BNL Relativistic Heavy Ion Collider from a multiphase transport model

Abstract

Fluctuations of conserved quantities are believed to be sensitive observables to probe the signature of the QCD phase transition and critical point. It was argued recently that measuring the genuine correlation functions (CFs) could provide cleaner information on possible nontrivial dynamics in heavy-ion collisions.With the AMPT (a multiphase transport) model, the centrality and energy dependence of various orders of CFs of net protons in Au + Au collisions at √ sNN=7. 7, 11.5, 19.6, 27, 39, 62.4 and 200 GeV are investigated. The model results show that the number of antiprotons is important and should be taken into account in the calculation of CFs at high energy and/or in peripheral collisions. It is also found that the contribution of antiprotons is more important for higher order correlations than for lower ones. The CFs of antiprotons and mixed correlations play roles comparable to those of protons at high energies. Finally, we make comparisons between the model calculation and experimental data measured in the STAR experiment at the BNL Relativistic Heavy Ion Collider.

N -point functions of strongly coupled fluids dual to generalized higher-derivative theories of gravity

“…Meanwhile, as we have argued here, the inclusion of such higher-point functions could some day lead to a finely tuned picture of the dual to the QGP. On both this basis and that of [22], it is our contention that the 6 The large scattering angles can be seen from a calculation of the Mandelstaam variables for the case of a four-graviton scattering problem [8].…”

“…In many cases, it is because only lower-point functions, such as the 2-and 4-point functions, are necessary for some particular calculation. However, a recent study in [22] shows that the measurement of higher-order multi-point functions provides a much clearer picture for all the relevant species of particles.…”

Ising-QCD phenomenology close to the critical point

“…As argued in [8] the singular behavior in equation ( 12) is also carried by the proton densitydensity correlation function alone. Actually also the antiproton density-density correlation function could in principle carry critical fluctuations [34]. Since protons are statistically favorable we restrict our analysis in the proton sector.…”