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Analytical relations between nuclear symmetry energy and single-nucleon potentials in isospin asymmetric nuclear matter |
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| Authors: | Chang Xu Bao-An Li Lie-Wen Chen Che Ming Ko |
| Affiliation: | a Department of Physics and Astronomy, Texas A&M University-Commerce, Commerce, TX 75429-3011, USA b Department of Physics, Nanjing University, Nanjing 210008, China c Department of Physics, Shanghai Jiao Tong University, Shanghai 200240, China d Cyclotron Institute and Department of Physics and Astronomy, Texas A&M University, College Station, TX 77843-3366, USA |
| Abstract: | Using the Hugenholtz-Van Hove theorem, we derive general expressions for the quadratic and quartic symmetry energies in terms of the isoscalar and isovector parts of single-nucleon potentials in isospin asymmetric nuclear matter. These expressions are useful for gaining deeper insights into the microscopic origins of the uncertainties in our knowledge on nuclear symmetry energies especially at supra-saturation densities. As examples, the formalism is applied to two model single-nucleon potentials that are widely used in transport model simulations of heavy-ion reactions. |
| Keywords: | Symmetry energy Nuclear potential Heavy-ion collision Transport model |
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