  Recent multi-channel astrophysics observations and the soon-to-be published
new measured electromagnetic and gravitation data provide information on the
inner structure of the compact stars. These macroscopic observations can
significantly increase our knowledge on the neutron star enteriors, providing
constraints on the microscopic physical properties. On the other hand, due to
the masquarade problem, there are still uncertainties on the various
nuclear-matter models and their parameters as well. Calculating the properties
of the dense nuclear matter, effective field theories are the most widely-used
tools. However the values of the microscopical parameters need to be set
consistently to the nuclear and astrophysical measurements. In this work we
investigate how uncertainties are induced by the variation of the microscopical
parameters. We use a symmetric nuclear matter in an extended $\sigma$-$\omega$
model. We calculate the dense matter equation of state and give the mass-radius
diagram. We present that the Landau mass and compressibility modulus of the
nuclear matter have definite linear relation to the maximum mass of a
Schwarzschild neutron star.
