Exotic meson decays in the environment with chiral imbalance

An emergence of Local Parity Breaking (LPB) in central heavy-ion collisions (HIC) at high energies is discussed. LPB in the fireball can be produced by a difference between the number densities of right- and left-handed chiral fermions (Chiral Imbalance) which is implemented by a chiral (axial) chemical potential. The effective meson lagrangian induced by QCD is extended to the medium with Chiral Imbalance and the properties of light scalar and pseudoscalar mesons ($\pi, a_0$) are analyzed. It is shown that exotic decays of scalar mesons arise as a result of mixing of $ \pi $ and $ a_0 $ vacuum states in the presence of chiral imbalance. The pion electromagnetic formfactor obtains an unusual parity-odd supplement which generates a photon polarization asymmetry in pion polarizability. We hope that the above pointed indications of LPB can be identified in experiments on LHC, RHIC, CBM FAIR and NICA accelerators.
Comment: 10 pages, talk given at XXIII International Workshop on High Energy Physics and Quantum Field Theory, Yaroslavl', June 26 - July 3, 2017 and at IV Russian-Spanish Congress: Particle, Nuclear, Astroparticle Physics and Cosmology, JINR Dubna, September 4-8, 2017