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In this work we investigate the possible condensation of tetraneutronresonant states in the lower density neutron rich gas regions inside NeutronStars (NSs). Using a relativistic density functional approach we characterizethe system containing different hadronic species including, besidestetraneutrons, nucleons and a set of light clusters ($^3$He, $\alpha$particles, deuterium and tritium). $\sigma,\omega$ and $\rho$ mesonic fieldsprovide the interaction in the nuclear system. We study how the tetraneutronpresence could significantly impact the nucleon pairing fractions and thedistribution of baryonic charge among species. For this we assume that they canbe thermodynamically produced in an equilibrated medium and scan a range ofcoupling strengths to the mesonic fields from prescriptions based on isospinsymmetry arguments. We find that tetraneutrons may appear over a range ofdensities belonging to the outer NS crust carrying a sizable amount of baryoniccharge thus depleting the nucleon pairing fractions.

Tetraneutron condensation in neutron rich matter