The equations of state (EOS) of asymmetric nuclear matter (ANM) in an extended Nambu-Jona-Lasinio (ENJL) model was investigated by means of examining effective potential in one-loop approximation. Our numerical results show that isospin dependence of saturation density in our model is reasonably strong and critical temperature for liquid-gas phase transition decreases with increasing neutron excess. | JOURNAL OF SCIENCE OF HNUE Mathematical and Physical Sci. 2012 Vol. 57 No. 7 pp. 106-112 This paper is available online at http THE EQUATIONS OF STATE OF ASYMMETRIC NUCLEAR MATTER Le Viet Hoa and Le Duc Anh Faculty of Physics Hanoi National University of Education Abstract. The equations of state EOS of asymmetric nuclear matter ANM in an extended Nambu-Jona-Lasinio ENJL model was investigated by means of examining effective potential in one-loop approximation. Our numerical results show that isospin dependence of saturation density in our model is reasonably strong and critical temperature for liquid-gas phase transition decreases with increasing neutron excess. Keywords The equations of state asymmetric nuclear matter isospin. 1. Introduction The success of nuclear physics in satisfactorily explaining low and mediate energy nuclear phenomena leads to a strong belief that nucleons and mesons are appropriate degrees of freedom. At present the relativistic treatment of nuclear many-body systems introduced not long ago by Walecka 1-3 turned out to be a quite successful tool for the study of many nuclear properties binding energies effective nucleon mass equation of state liquid-gas phase transition ect. Along with the success of the Walecka s model a four-nucleon model of nuclear matter 4-6 is introduced which consists of only nucleon degrees of freedom. In this article we will consider the isospin dependence of the energy of asymmetric nuclear matter in the extended Nambu-Jona-Lasinio ENJL model. The main goal of such studies is to probe the properties of nuclear matter in the region between symmetric nuclear matter and pure neutron matter. This information is important in understanding the explosion mechanism of supernova and the cooling rate of neutron stars. Received October 22 2012. Accepted November 6 2012. Physics Subject Classification 62 44 01 03. Contact Le Viet Hoa e-mail address hoalv@ 106 The equations of state of asymmetric
