On influence of pion instability on proton inclusive distributions in quasi-central collisions of heavy relativistic ions

In the framework of a relativistic hydrodynamical model a study is made of possible manifestation of π-condensation following heavy ions collision. The results are presented of a typical modelling of doubly differential cross section of proton yield in the 26Ne+238U reaction at Esub(kin)=393 MeV/nucleon in lab. syst. The use is made of normal and abnormal equations of state for a nuclear model (NM). The following results are obtained: 1. Inclusive distributions of nucleons are insensitive towards an anomalous state of the pion condensation type with almost linear dependence of the critical density on temperature. 2. Rise in the NM temperature during the transition to anomalous state is not manifested in the proton energy spectra. 3. NM anomalous state with the critical density independent of temperature is manifested in decrease in the high energy nucleon yield, and in smoothing of the side emission peak of angular distributions