Constraints on the parameter space in dark matter admixed neutron stars

We investigate the impact of dark matter on neutron star properties using the relativistic mean-field theory. By incorporating the dark matter model, we explore how dark matter parameters, specifically dark matter mass and Fermi momentum, influence nuclear saturation properties, the equation of state, and the mass-radius relationship of neutron stars. We also examine the universal relation between dimensionless tidal deformability and compactness in the presence of dark matter. Our results show that the inclusion of dark matter significantly alters nuclear saturation properties, leading to higher incompressibility and symmetry energy values. Notably, higher dark matter Fermi momenta and masses result in more compact neutron star configurations with reduced radii and lower maximum masses, highlighting a complex interplay between dark matter and nuclear matter. Deviations from the universal relation are observed with dark matter inclusion, particularly for neutron stars with lower compactness. By leveraging observational data from PSR $\mathrm{J}0740+6620$, GW170817, and Neutron star Interior Composition Explorer measurements of PSR $\mathrm{J}0030+0451$, we derive stringent constraints on dark matter parameter space within neutron stars, emphasizing the necessity of integrating multimodal observations to delineate the properties of dark matter along with neutron stars. Our findings underscore the importance of considering dark matter effects in neutron star modeling and suggest potential refinements for current theoretical frameworks to accurately predict neutron star properties under various astrophysical conditions.