The spatial distributions of chiral magnetic field in the RHIC and LHC energy regions

Relativistic heavy-ion collisions can produce extremely strong magnetic field in the collision regions. The spatial variation features of the magnetic fields are analyzed in detail for non-central Pb - Pb collisions at LHC $\sqrt{s_{NN}}$= 900, 2760 and 7000 GeV and Au-Au collisions at RHIC $\sqrt{s_{NN}}$ = 62.4, 130 and 200 GeV. The dependencies of magnetic field on proper time, collision energies and impact parameters are investigated in this paper. It is shown that a enormous with highly inhomogeneous spatial distribution magnetic field can indeed be created in off-central relativistic heavy-ion collisions in RHIC and LHC energy regions. The enormous magnetic field is quite large, especially just after the collision, and then decreases rapidly with time. We are surprised to find that the magnetic effect decreases with increasing energy from RHIC to LHC energy region. It is found that the magnitude of magnetic field in the LHC energy region is far less than that of magnetic field in the RHIC energy region.