The maximum mass of dark matter existing in compact stars based on the self-interacting fermionic model

Abstract

By assuming that only gravitation acts between dark matter (DM) and normal matter (NM), we studied DM admixed neutron stars (DANSs) using the two-fluid TOV equations. The NM and DM of compact stars are simulated by the relativistic mean field (RMF) theory and non-self-annihilating self-interacting fermionic model, respectively. The effects of the particle mass of fermionic DM $m_f$ and the interaction strength parameter $y$ on the properties of DANSs are investigated in detail. $m_f$ and $y$ are considered as the free parameters due to the lack of information about the particle nature of DM so far. For a DANS, we suggest a simple universal relationship $M_D^{\max}=(0.267 y +0.627-3.21\frac{M_N}{\M_{\odot}})( \frac{1\GeV}{m_f})^2 \M_{\odot}$ for $y>100$, where $M_D^{\max }$ is the maximum mass of DM existing in DANSs and $M_N$ is the mass of the neutron star without DM. For free fermion DM model ($y$=0), the relationship becomes $ M_D^{\max}=(0.627-0.027\frac{M_N^2}{\M_{\odot}^2}) ( \frac{1\GeV}{m_f})^2 \M_{\odot}$. The radius of DM $R_D$ shows a linear relationship with $M_D^{\max }$ in DANSs, namely $R_D=(7.02 \frac{M_D^{\max}}{ \M_{\odot}}+1.36)$~km. These conclusions are independent of the different NM EOSs from RMF theory. Such a kind of universal relationship connecting the nature of DM particle and mass of stars might shed light on the constraining the nature of the DM by indirect method.

13 pages, 7 figures

References in corpus (16)

• Dark Matter Candidates from Particle Physics and Methods of Detection
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Dark Matter Results From 54-Ton-Day Exposure of PandaX-II Experiment
• Review of LHC Dark Matter Searches
• Compact stars made of fermionic dark matter
• Combined Constraints on the Equation of State of Dense Neutron-Rich Matter from Terrestrial Experiments and Observations of Neutron Stars
• Too massive neutron stars: The role of dark matter?
• Constraining Dark Matter Models with a Light Mediator from PandaX-II Experiment
• Large-mass neutron stars with hyperonization
• Delineating Effects of Nuclear Symmetry Energy on the Radii and Tidal Polarizabilities of Neutron Stars
• Study of Dark-Matter Admixed Neutron Stars using the Equation of State from the Rotational Curves of Galaxies
• Neutron to Dark Matter Decay in Neutron Stars
• Millisecond pulsars modelled as strange quark stars admixed with condensed dark matter
• Double dark-matter admixed neutron star
• Probes for Dark Matter Physics
• The gamma-ray spectral feature from Kaluza-Klein dark matter annihilation and its observability

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• Dark matter admixed neutron star properties in the light of X-ray pulse profile observations
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• Impact of dark matter on strange quark stars described by different quark models