Chinese Physics C > 2016, Vol. 40 > Issue(9): 094101 DOI: 10.1088/1674-1137/40/9/094101

Effect of Wigner energy on the symmetry energy coefficient in nuclei

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Abstract：
The nuclear symmetry energy coefficient (including the coefficient a _sym ⁽⁴⁾of the I ⁴term) 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 a _sym ^*( A,I) decreases with increasing isospin asymmetry I, which is mainly caused by Wigner correction, since e _sym ^*is the summation of the traditional symmetry energy e _symand the Wigner energy e _W. We obtain the optimal values J=30.25±0.10 MeV, a _ss=56.18±1.25 MeV, a _sym ⁽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 with 20≤ 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 a _ssand the coefficient a _sym ⁽⁴⁾are very sensitive to the value of xin the range 1≤ x≤4. The contribution of the a _sym ⁽⁴⁾term increases rapidly with increasing isospin asymmetry I. For very neutron-rich nuclei, the contribution of the a _sym ⁽⁴⁾term will play an important role.
- symmetry energy,
- Wigner energy,
- binding energy,
- isobaric nuclei

References

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Jun-Long Tian, Hai-Tao Cui, Teng Gao and Ning Wang. Effect of Wigner energy on the symmetry energy coefficient in nuclei[J]. Chinese Physics C, 2016, 40(9): 094101. doi: 10.1088/1674-1137/40/9/094101

Jun-Long Tian, Hai-Tao Cui, Teng Gao and Ning Wang. Effect of Wigner energy on the symmetry energy coefficient in nuclei[J]. Chinese Physics C, 2016, 40(9): 094101. doi:10.1088/1674-1137/40/9/094101 shu

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Received: 2016-04-13

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Supported by National Natural Science Foundation of China (11475004, 11275052, 11305003, 11375094 and 11465005), Natural Science Foundation of He'nan Educational Committee (2011A140001 and 2011GGJS-147), Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences (Y4KF041CJ1)

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通讯作者:陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Effect of Wigner energy on the symmetry energy coefficient in nuclei

Corresponding author:Jun-Long Tian,

Corresponding author:Ning Wang,

Received Date:2016-04-13

Available Online:2016-09-05

Fund Project:Supported by National Natural Science Foundation of China (11475004, 11275052, 11305003, 11375094 and 11465005), Natural Science Foundation of He'nan Educational Committee (2011A140001 and 2011GGJS-147), Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences (Y4KF041CJ1)

Abstract:The nuclear symmetry energy coefficient (including the coefficienta_sym⁽⁴⁾of the I⁴term) 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 coefficienta_sym^*(A,I) decreases with increasing isospin asymmetry I, which is mainly caused by Wigner correction, sincee_sym^*is the summation of the traditional symmetry energye_symand the Wigner energye_W. We obtain the optimal valuesJ=30.25±0.10 MeV,a_ss=56.18±1.25 MeV,a_sym⁽⁴⁾=8.33±1.21 MeV and the Wigner parameterx=2.38±0.12 through a polynomial fit to 2240 measured binding energies for nuclei with 20≤A≤261 with an rms deviation of 23.42 keV. We also find that the volume symmetry coefficientJ≈30 MeV is insensitive to the valuex, whereas the surface symmetry coefficienta_ssand the coefficienta_sym⁽⁴⁾are very sensitive to the value ofxin the range 1≤x≤4. The contribution of thea_sym⁽⁴⁾term increases rapidly with increasing isospin asymmetry I. For very neutron-rich nuclei, the contribution of thea_sym⁽⁴⁾term will play an important role.

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Effect of Wigner energy on the symmetry energy coefficient in nuclei

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