  The effect of model parameters in the equation of state for quark matter on
the magnitude of the maximum mass of hybrid stars is examined. Quark matter is
described in terms of the extended MIT bag model including corrections for
one-gluon exchange. For nucleon matter in the range of densities corresponding
to the phase transition, a relativistic equation of state is used that is
calculated with two particle correlations taken into account based on using the
Bonn meson-exchange potential. The Maxwell construction is used to calculate
the characteristics of the first order phase transition and it is shown that
for a fixed value of the strong interaction constant $\alpha_s$, the baryon
concentrations of the coexisting phases grow monotonically as the bag constant
B increases. It is shown that for a fixed value of the strong interaction
constant $\alpha_s$, the maximum mass of a hybrid star increases as the bag
constant $B$ decreases. For a given value of the bag parameter $B$, the maximum
mass rises as the strong interaction constant $\alpha_s$ increases. It is shown
that the configurations of hybrid stars with maximum masses equal to or
exceeding the mass of the currently known most massive pulsar are possible for
values of the strong interaction constant $\alpha_s>0.6$ and sufficiently low
values of the bag constant.
