A new mass limit ($3.61~M_{\odot}$) of strange star admitting CFL equation of state

Abstract: A class of strange star is analyzed in the present article in hydrostatic equilibrium whose state is defined by a CFL phase equation of state. We compare our result with those obtained from MIT bag equation of state for strange quark matter which are regarded as free particles. We note that if we consider quarks to form cooper pair and their description is made by CFL equation of state, the maximum mass of strange star assumes value as high as 3.61 $M_{\odot}$ which is well above the value 2.03 $M_{\odot}$ obtained by considering MIT bag equation of state for massless free quarks. Both the maximum masses are determined by solving TOV equation for different values of strange quark mass $m_s$. Thus inclusion of possibility of quark pair formation in the theory permits us to accommodate a wider class of compact objects like 4U 1820-30, PSR J1614-2230, PSR J0030+0451, PSR J1903+0327, PSR J0740+6620, PSR J0952-0607 and mass of the companion star in GW170817 and GW190814 events in our model. The consideration of such high value of mass is hardly obtainable theoretically from normal strange star models in General Relativity even with fast rotation effect. The object PSR J0952-0607 is found to be the fastest and heaviest pulsar in the disk of Milky Way Galaxy having mass 2.59 $M_{\odot}$ may be predicted in our model as observational evidence supports the existence of strange quark matter in its composition.