Quark star properties with density dependent bag model

The composition at the dense core of compact objects is still unknown. There are many propositions regarding possible composition. One possible candidate is strange quark matter (SQM). In this work, we consider the original MIT Bag Model. As quarks enjoy asymptotic freedom at high density, the bag pressure is justifiably density dependent rather than being constant. So here density dependent bag pressure B(ρ) is invoked in the form of Gaussian distribution function involving three parameters. We investigate the impact of variation of these parameters on structural properties of SQSs by varying one parameter at a time keeping the other two fixed. We try to obtain a allowed range of these parameters constrained by Bodmer-Witten conjecture for stability of SQSs and different observational and astrophysical limits. We computed of the structural properties of SQSs in the framework of MIT Bag model by considering the bag pressure to be density dependent. This dependence is obtained by using a Gaussian distribution form involving the parameters Bas, ∆B and β. The combinations of (Bas, ∆B, β) that survived the stability test were used to obtain the structural properties of SQSs by varying one among the three parameters at a time and keeping the other two fixed. Rigorous check showed that none of the combinations of (Bas, ∆B, β) could satisfy the NICER data for PSR J0030+0451 although the other astrophysical constraints on the M − R plane are well satisfied. Thus the NICER data for PSR J0030+0451 serves as a vital constraint to conclude that SQSs with density dependent bag pressure may be massive enough but too low in radius