Neutron Optical Model Potential Symmetry Energy Xiaohua Li

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

Contents Neutron OMP Symmetry Energy Conclusion

Neutron OMP 1. The form of our neutron OMP with

Neutron OMP

Neutron OMP 2. The database

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

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

Neutron OMP a. Value of parameters

Neutron OMP

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

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]

Symmetry Energy Xu/Li/Chen, PRC 82, 054607 (2010) Single particle energy at Fermi surface = particle chemical potential Energy density Hugenholtz-Von Hove (HVH) Theorem Symmetry potential (Lane potential)

Symmetry Energy Xu/Li/Chen, PRC 82, 054607 (2010) =26. 11 Me. V

Symmetry Energy Chen/Cai/Chen et al, PRC 85, 024305 (2012) HVH Theorem

Symmetry Energy

Symmetry Energy

Symmetry Energy

Symmetry Energy

Symmetry Energy The dispersive relation: The correctional parameters where

Symmetry Energy The isoscalar effective mass The isovector effective mass

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

Conclusion 1. We obtain a new set of global OMP parameters for neutron as projectile; the 2. error of corresponding are also given in our work. 2. Using our OMP parameters and HVH theorem, we obtain the values of and inspect the conclusion of our recent work [PRC 85(2012)024305] that the contribution of the second-order symmetry potential generally cannot be neglected. to

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