1. Neutron Optical Model Potential &Symmetry Energy
Xiao-hua Li1,2, Bao-jun Cai1,Rong Chen1,
Lie-wen Chen1
1.Department of Physics, Shanghai Jiao Tong University;
2.School of Nuclear Science and Technology, University of South China

2. Contents
Neutron OMP
Symmetry Energy
Conclusion

3. Neutron OMP
1. The form of our neutron OMP
with

4. Neutron OMP

5. Neutron OMP
2. The database

6. Neutron OMP 3. Calculations For single nucleus The theoretical values
The experimental values
The experimental error

7. Neutron OMP 4. The value and error of parameters
we choose 1000 sets of database which is construct 10% of the total experimental data for obtaining the values of the parameters and the corresponding error.
Value of i-th parameter in j-th set of OMP parameters

8. Neutron OMP
a. Value of parameters

9. Neutron OMP

10. The average and variance values for parameters
Neutron OMP
b. The error of parameters
The average and variance values for parameters
V_i(for i=0,1,2,3,3L,4,4L)

11. Neutron OMP
Comparisons of the experimental data with the calculated results from our this work and Koning [A.J. Koning,J.P. Delaroche, NPA 713(2003)231]

12. Single particle energy at Fermi surface = particle chemical potential
Symmetry Energy
Xu/Li/Chen, PRC82, (2010)
Single particle energy at Fermi surface = particle chemical potential
Energy density
Hugenholtz-Von Hove
(HVH) Theorem
Symmetry potential
(Lane potential)

13. Symmetry Energy
Xu/Li/Chen, PRC82, (2010)
=26.11 MeV

14. Symmetry Energy
Chen/Cai/Chen et al, PRC85, (2012)
HVH Theorem

15. Symmetry Energy

16. Symmetry Energy

17. Symmetry Energy

18. Symmetry Energy

19. The dispersive relation:
Symmetry Energy
The dispersive relation:
The correctional
parameters
where

20. Symmetry Energy The isoscalar effective mass
The isovector effective mass

21. The result of Usym,2 come from Zeng-Hua Li using BHF calculation
Symmetry Energy
The result of Usym,2 come from Zeng-Hua Li using BHF calculation

22. Conclusion
We obtain a new set of global OMP parameters for neutron as projectile; the
error of corresponding are also given in our work.
2. Using our OMP parameters and HVH theorem, we obtain the values of and and inspect the conclusion of our recent work [PRC 85(2012)024305] that the contribution of the second-order symmetry potential to generally cannot be neglected.

23. Thanks!