Neutron Optical Model Potential &Symmetry Energy

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Presentation transcript:

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

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 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

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)

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]

Single particle energy at Fermi surface = particle chemical potential Symmetry Energy Xu/Li/Chen, PRC82, 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, PRC82, 054607 (2010) =26.11 MeV

Symmetry Energy Chen/Cai/Chen et al, PRC85, 024305 (2012) HVH Theorem

Symmetry Energy

Symmetry Energy

Symmetry Energy

Symmetry Energy

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

Symmetry Energy The isoscalar effective mass The isovector effective mass

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

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.

Thanks!