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Time-dependent covariant density functional theory with the successfuldensity functional PCPK1 is developed in a three-dimensional coordinate spacewithout any symmetry restrictions, and benchmark calculations for the 16O + 16Oreaction are performed systematically. The relativistic kinematics, theconservation laws of the momentum, total energy, and particle number, as wellas the time-reversal invariance are examined and confirmed to be satisfiednumerically. Two primary applications including the dissipation dynamics andabove-barrier fusion cross sections are illustrated. The obtained results arein good agreement with the ones given by the nonrelativistic time-dependentdensity functional theory and the data available. This demonstrates that thenewly developed time-dependent covariant density functional theory could serveas an effective approach for the future studies of nuclear dynamical processes.

Time-dependent covariant density functional theory in 3D lattice space: benchmark calculation for 16O + 16O reaction