Relativistic mean-field model with nonlinear derivative couplings for nuclear matter and nuclei

I have proposed two parameter sets, NLD1 and NLD2, for the Lagrangian with nonlinear derivative couplings in the relativistic mean-field theory. Properties of nuclear matter and finite nuclei are explored. It is shown that this Lagrangian model can lead to a softening of the equation of state and symmetry energy at high densities. Two trends for the high-density behavior of symmetry energy are obtained with NLD1 and NLD2. These two sets also give a much less repulsive Schrodinger equivalent optical potential at high nucleon energies compared to standard relativistic mean-field models and reproduce the experimental data very well. The study also shows that a good description of ground-state properties of nuclei is achieved with this Lagrangian.