Abstract
We study the influence of the model parameters on thephase transitions, the equation of state (EOS), and the corresponding mass-radiusrelations in the interior of neutron stars. The numerical analysisshows that the coupling constants of hyperons have a slightinfluence on the phase transitions and EOS, but an obviousinfluence on the particle fractions, while the bag constant B andcoupling constant g have an important influence on the phasetransitions, the EOS, and the mass-radius relations. We find thatboth the bag constant B and coupling constant g play the same rolein the description of the interactions between quarks of hybrid stars.The maximum mass calculated by using the bag constant determined withexperimental data (ranging from 175 to 200 MeV) falls in theinterval of 1.4∼1.7 solar mass. The corresponding radius isbetween 9.3 and 12 km. These results are in agreement with observedvalues of neutron stars. The possibility of the existence of athird family is discussed. The detection of a third family mayprovide a signature for a phase transition inside neutron stars.
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