  In this work we investigate the possible condensation of tetraneutron
resonant states in the lower density neutron rich gas regions inside Neutron
Stars (NSs). Using a relativistic density functional approach we characterize
the system containing different hadronic species including, besides
tetraneutrons, nucleons and a set of light clusters ($^3$He, $\alpha$
particles, deuterium and tritium). $\sigma,\omega$ and $\rho$ mesonic fields
provide the interaction in the nuclear system. We study how the tetraneutron
presence could significantly impact the nucleon pairing fractions and the
distribution of baryonic charge among species. For this we assume that they can
be thermodynamically produced in an equilibrated medium and scan a range of
coupling strengths to the mesonic fields from prescriptions based on isospin
symmetry arguments. We find that tetraneutrons may appear over a range of
densities belonging to the outer NS crust carrying a sizable amount of baryonic
charge thus depleting the nucleon pairing fractions.
