The symmetry energy obtained with the effective Skyrme energy density functional is related to the values of isoscalar effective mass and isovector effective mass , which is also indirectly related to the incompressibility of symmetric nuclear matter .
In this work , we analyze the values of symmetry energy and its related nuclear matter parameters in five-dimensional parameter space by describing the heavy ion collision data , such as isospin diffusion data at 35 MeV/u and 50 MeV/u , neutron skin of ^ { 208 } Pb , and tidal deformability and maximum mass of neutron star .
We obtain the parameter sets which can describe the isospin diffusion , neutron skin , tidal deformability and maximum mass of neutron star , and give the incompressibility K _ { 0 } =250.23 \pm 20.16 MeV , symmetry energy coefficient S _ { 0 } =31.35 \pm 2.08 MeV , the slope of symmetry energy L =59.57 \pm 10.06 MeV , isoscalar effective mass m _ { s } ^ { * } / m =0.75 \pm 0.05 and quantity related to effective mass splitting f _ { I } =0.005 \pm 0.170 .
At two times normal density , the symmetry energy we obtained is in 35-55 MeV .
To reduce the large uncertainties of f _ { I } , more critical works in heavy ion collisions at different beam energies are needed .