Nuclei in Netrino-Degenerate Dense Matter. I : Cold Case

概要

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The properties of nuclei in cold dense matter with strongly degenerate neutrinos are investigated with the aid of an extended Thomas-Fermi model of nuclei. The following results are obtained. 1) The proton number of nucleus increases with the increasing density of the matter and it becomes very huge compared with that of the cold catalyzed matter due to the decrease of the Coulomb energy caused by the effect of the lattice-Coulomb energy. 2) The matter densities at the neutron-drip points, where the chemical potentials of neutrons equal zero are obtained as a function of the number of leptons per nucleon Y_L, and it is found that nuclei coalesce before neutron drip when Y_L is greater than about 0.4 for the case of b.c.c. lattice. 3) Along the neutron-drip points, an infinite network of linked nuclei may be formed at the matter density ρ_p≈ 9×1-^<13> g cm-<13> , and the bubble-phase appears at the matter density ρ_H≈ 1.1×10^<14> g cm^<13> . When the matter density becomes higher than ρ_H≈ 1.7×10^<14 g cm<-3> , the bubbles melt into a homogeneous matter.
理論物理学刊行会の論文
1982-07-25