Density dependence of symmetric energy constrained by collective excitation properties of atomic nuclei

The isovector giant dipole resonance energies of ⁹⁰Zr, ¹⁴⁴Sm, and ²⁰⁸Pb, the pygmy resonance strengths and their exhausted energy-weighted sum rules of ⁶⁸Ni and ¹³²Sn, and the anti-analog giant dipole resonance of ²⁰⁸Pb as well as its isobaric analog state have been measured experimentally．The collective excited properties of finite nuclei are calculated in relativistic and non-relativistic mean field methods with different effective interactions．Compared to the experimental data, the density dependence of symmetry energy can be extracted．