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Published online by Cambridge University Press: 04 August 2017
We study the possibility of the existence of quark matter during the early stage of hot neutron stars. According to Walecka (1978) and Shuryak (1980), we calculate the EOS of neutron matter and quark matter at different temperatures, T, in which we take the coupling constant αs to be 0.5 (Rafelski, 1982) and the bag constant B 1/4 to be 145, 170 and 190 Mev (Chin, 1978) due to a slight influence of αs and a great influence of B on our results. Supposing that neutron matter-quark matter phase transition is the first order phase transition (Baym and Chin, 1976), we obtain the phase transition pressures and densities at T = 3×1010 and 1012 K, respectively, from the relation between the pressure and the chemical potential. Then we try to determine the existence of quark matter thru the comparison of these densities with those of stable hot neutron stars.