  We investigated the possibility that compact stars could be described by a
fermion-boson star with a quartic self-interaction in the boson sector.
Specifically, by varying the polytropic constant $K$ and adiabatic index
$\Gamma$ in the polytropic equation of state, the boson mass $\mu$, and the
self-interaction parameter $\Lambda$, we construct equilibrium configurations
of these mixed-stars with total mass compatible with the mass constraints
obtained from observational data of the collaborations NICE, NICER/XMN-Newton,
and LIGO. Our work confirms that the addition of a boson sector eases the
comparison of neutron star models with gravitational events related to compact
objects and that in such a case observations may have preference for a positive
self-interaction in the boson sector.
