The equations of state of asymmetric nuclear matter (ANM) starting from the effective potential in a one-loop approximation is investigated. It was showen that chiral symmetry is restored at high nuclear density and the liquid-gas phase transition are both strongly influenced by the isospin degree of freedom. | JOURNAL OF SCIENCE OF HNUE Mathematical and Physical Sci. 2013 Vol. 58 No. 7 pp. 125-131 This paper is available online at http THE PROPERTIES OF ASYMMETRIC NUCLEAR MATTER Le Viet Hoa1 Le Duc Anh1 and Dang Thi Minh Hue2 1 Faculty of Physics Hanoi National University of Education 2 Faculty of Mathematics Water Resources University Hanoi Abstract. The equations of state of asymmetric nuclear matter ANM starting from the effective potential in a one-loop approximation is investigated. It was showen that chiral symmetry is restored at high nuclear density and the liquid-gas phase transition are both strongly influenced by the isospin degree of freedom. Keywords Asymmetric nuclear matter effective potential chiral symmetry. 1. Introduction One of the most important thrusts of modern nuclear physics is the use of high-energy heavy-ion reactions to study the properties of excited nuclear matter and find evidence of nuclear phase transition between different thermodynamic states at finite temperature and density. Such ambitious objectives have attracted intense experimental and theoretical investigation. A number of theoretical articles have been published 3 4 8 10 among them and research based on simplified models of strongly interacting nucleons is of great interest to those who wish to understand nuclear matters under different conditions. In the case of asymmetric matter however few articles have been published because it is more complex 7 9 . An additional degree of freedom needs to be taken into account the isospin. For asymmetric systems the phenomenon of isospin distillation demonstrates that the proton fraction is an order parameter. Such matter plays an important role in astrophysics where neutron-rich systems are involved in neutron stars and supernova evolution 2 5 6 . In this respect this article considers properties of asymmetric nuclear matter. Received July 22 2013. Accepted September 24 2013. Contact Le Viet Hoa e-mail address .