The nuclear symmetry energy coefficient(including the coefficient asym(4) of the I4 term) of finite nuclei is extracted by using the differences of available experimental binding energies of isobaric nuclei.It is found that the extracted symmetry energy coefficient asym*(A,I) decreases with increasing isospin asymmetry I,which is mainly caused by Wigner correction,since esym* is the summation of the traditional symmetry energy esym and the Wigner energy ew.We obtain the optimal values J = 30.25±0.10 MeV,ass=56.18±1.25 MeV,asym(4) = 8.33±1.21 MeV and the Wigner parameter x= 2.38 ±0.12 through a polynomial fit to 2240 measured binding energies for nuclei with20 ≤ A ≤ 261 with an rms deviation of 23.42 keV.We also find that the volume symmetry coefficient J■ 30 MeV is insensitive to the value x,whereas the surface symmetry coefficient ass and the coefficient asym(4) are very sensitive to the value of x in the range 1≤x≤4.The contribution of the asym(4) term increases rapidly with increasing isospin asymmetry I.For very neutron-rich nuclei,the contribution of the asym(4) term will play an important role.
The nuclear symmetry energy coefficient(including the coefficient asym^(4) of the I^4 term) of finite nuclei is extracted by using the differences of available experimental binding energies of isobaric nuclei.It is found that the extracted symmetry energy coefficient asym^*(A,I) decreases with increasing isospin asymmetry I,which is mainly caused by Wigner correction,since esym^* is the summation of the traditional symmetry energy esym and the Wigner energy ew.We obtain the optimal values J = 30.25±0.10 MeV,ass=56.18±1.25 MeV,asym^(4) = 8.33±1.21 MeV and the Wigner parameter x= 2.38 ±0.12 through a polynomial fit to 2240 measured binding energies for nuclei with20 ≤ A ≤ 261 with an rms deviation of 23.42 keV.We also find that the volume symmetry coefficient J≌ 30 MeV is insensitive to the value x,whereas the surface symmetry coefficient ass and the coefficient asym^(4) are very sensitive to the value of x in the range 1≤x≤4.The contribution of the asym^(4) term increases rapidly with increasing isospin asymmetry I.For very neutron-rich nuclei,the contribution of the asym^(4) term will play an important role.