XTE J1814-338 as a dark matter admixed neutron star

Abstract: The existence of the ultracompact object XTE J1814-338, with an inferred mass and radius of $M$ = 1.21 $\pm$ 0.05 $M_\odot$ and R = 7.0 $\pm$ 0.4 km, presents a great challenge for the theory of neutron stars. Within this context, we revisit the theory of dark-matter-admixed neutron stars and infer the physical properties of this compact object, such as the Fermi momentum of dark matter necessary to compress the star at such low radius, its equation of state, speed of sound, and some macroscopic properties, such as the moment of inertia and the dimensionless tidal parameter. We also compare the physical properties of the XTE J1814-338 with other pulsars, such as the canonical 1.4 M$_\odot$, the PSR J0740 + 6620, and the HESS J1731-347.