In the framework of the relativistic mean field theory (RMFT),the relativistic energy losses of the directUrca processes with hyperons (Y-DURCA) for reactions A → p+e + ve and (?) → A + e + ve are studied in neutron stars.We calculate the energy gap of A hyperons and investigate the effects of the 1S0 superfluidity (SF) of A hyperons on theY-DURCA processes.The calculated results are in line with the recent experimental data ABaa ~ 1.01±0.20-0.11+0.18 MeV.The results indicate that the 1S0 SF of A hyperons exists in most density ranges of happening the two reactions.Thetheoretical cooling curves are in agreement with observation data.
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