We have used the Simple Effective Interaction with a Yukawa form factor to study the neutron star phenomenology.
In earlier publications, we have reported standard neutron stars' properties such as the mass-radius relationship, crust-core transition,
global properties of the crust, and tidal deformability. In this contribution we want
to study the ability of the equations of state built up with this interaction to describe less known properties of the neutron stars such as the
threshold mass for the prompt collapse in binary neutron star merger, the sound velocity in neutron matter and the gravitational redshift,
which are examined in terms of the compactness of
the neutron star, the incompressibility and the slope of the symmetry energy. Some of the correlations existing between neutron star properties and
the nuclear matter saturation properties have been analyzed and compared with the predictions of other model calculations