物态方程与超新星爆发

THE EQUATION OF STATE AND SN EXPLOSION

在J.Cooperstein的物态方程中,参量θ(核密度与饱和核密度之比)方程对其根有一定的限制,我们从零温近饱和密度的核子压强公式出发得到一个核子内能公式,用此公式取代J.Cooperstein所用之核子内能表达式,则物态方程中θ方程对根的限制将被消除。以15M_⊙之WZW模型为初始模型,用我们的物态方程对引力坍缩、冲击波形成及其传播的流体动力学做了计算。在高于饱和密度之核物质区适当软化物态方程,则星核区引力结合能的释放将有所提高。

There is a restriction to the solution of the epuation of θ (the ratio between the density of the nuclear matter and the density of the nuclear matter at saturation ) in the J. Cooperstein's equ ation of state. Starting from the expression of nucleons pressure near the saturation density at zero temperature, a expression of nucleon internal energy is obtained by us. the re striction mentioned above in J. Cooperstein's equation of state has been removed by substituting the expression of nucleon internal energy obtained by us for the expression used by J.Cooperstein. Me present results of hydrodynamic cal culation of core collapse and subsequent shock wave formation and propagation using the equation of state of us and using the 15M initial model of WZW.The relesse of gravitational binding energy of core can be increased by proper softening the equation of state above the sqturation density of nucl ear matter.