Topological String in Quantum-Chromodynamical Chiral Phase Transitions

It is pointed out that if in heavy ion collision processes, the quark-gluon plasma SU(2) chiral phase transition really takes place and the phase transition is a second order. Then the topological string, i.e., the π string, will be formed. The main effect of this phenomenon is that there will be a number of pions produced by decay of the π string in the final state. The pions from the decay of the π string lead to the same effect of decreasing the Hanbury-Brown-Twiss peak in two-pion spectra which is just as that of the long-lived hadronic resonances. At relativistic heavy-ion collision and large hadron collision energies, it is expected that the factors are about α ～ 0.7-0.9 and α ～ 0.6-0.85, respectively.