Analytical relations between nuclear symmetry energy and single-nucleon potentials in isospin asymmetric nuclear matter

Details Analytical relations between nuclear symmetry energy and single-nucleon potentials in isospin asymmetric nuclear matter Analytical relations between nuclear symmetry energy and single-nucleon potentials in isospin asymmetric nuclear matter

2010-04-26

arxiv.org/abs/1004.4403v1

Physics

Nuclear Physics

Nuclear Theory

23 pages with 6 figures

Scientific paper

Using the Hugenholtz-Van Hove theorem, we derive general expressions for the quadratic and quartic symmetry energies in terms of single-nucleon potentials in isospin asymmetric nuclear matter. These analytical relations 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.

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