Asteroseismology of Neutron Stars with Axion-Like Particle Mediated Dark Matter
We examine the impacts of dark matter (DM) on the observables of the neutron star (NS). The interaction of DM with nucleons intermediate by axion-like particles (ALPs), and the DM-admixed NS (DNS) is formulated in the framework of the relativistic mean field (RMF) formalism. The effects of the DM on the NS are characterized by two parameters: DM Fermi momentum ($q_f$) and DM mass ($m_χ$). By varying these two parameters, we investigate how the NS's mass, radius, and tidal deformability are altered. Furthermore, we study how the ALP-mediated DM impacts the stability of the NS through the analysis of radial oscillations. In addition, the nonradial oscillation has been investigated by calculating its fundamental mode frequency in the DNS and analyzed how the ALP-mediated DM modifies its behavior.