The Possibilities of Search for the Local Strong P-Symmetry Breaking in Decay of Charged a0 Meson in 3π± Decay Channel

In a hot and dense medium created in the collisions of heavy ions at high energy large topological fluctuations of QCD fields can occur, leading to possible effects of the local violation of P-symmetry in strong interactions. We proposed a search for charged $${{a}_{0}}$$ meson decay into three charged pions as a signature of the local strong parity breaking. Using PYTHIA Monte Carlo generator with enabled required decay channels we investigated invariant mass spectrum and analyzed the signal and background contributions. As a result, we estimated minimal number of pp collision events for significant signal of the P-breaking decay.