Research PaperNo Access

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

Shandong Provincial Key Laboratory of Optical Astronomy and Solar-Terrestrial Environment, School of Space Science and Physics, Institute of Space Sciences, Shandong University, Weihai 264209, P. R. China

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Bin Qi

http://orcid.org/0000-0001-7159-1897

E-mail Address: bqi@sdu.edu.cn

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Gao Le Yang

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Nai Bo Zhang

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, and

Shou Yu Wang

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https://doi.org/10.1142/S0218271819501487Cited by:3 (Source: Crossref)

Abstract

The dark matter admixed neutron stars (DANSs) are studied using the two-fluid TOV equations separately, in which the normal matter (NM) and dark matter (DM) are simulated by the relativistic mean field theory and self-interacting fermionic model, respectively. A universal relationship $M_{D}^{max} = (0.269 \frac{m_{f}}{m_{I}} + 0.627) {(\frac{1 GeV}{m_{f}})}^{2} M_{⊙}$ is suggested, where $M_{D}^{max}$ is the maximum mass of DM existing in DANSs, $m_{f}$ is the particle mass of DM ranging from 5GeV to 1TeV, $m_{I}$ is the interaction mass scale with the value 300GeV (0.1GeV) for weak (strong) interaction DM model. This simple formula connects directly the microcosmic nature of DM particle with its macrocosmic mass existing in DANSs. Meanwhile, such a formula exhibits that the existence of NM has little effect on $M_{D}^{max}$ . It is found that the ratio of radius of DM in DANSs over $M_{D}^{max}$ is a constant with the value about 12 $\frac{km}{M_{⊙}}$ (7 $\frac{km}{M_{⊙}}$ ) for weak (strong) interaction DM cases. According to the calculated results, only for the strong interaction DM cases with $m_{f} = 5$ to $10$ GeV and central energy density $𝜀_{D} > 1 0^{3}$ MeV/fm³, DM has obvious effect on the mass of compact star. Compared with the energy density of DM in the Milky Way galaxy, $\sim 1 0^{- 36}$ MeV/fm³, the existence of DM might hardly affect the mass of compact stars in the Milky Way galaxy.

Keywords:

PACS: 97.60.Jd, 26.60.−c, 21.60.Jz, 95.35.+d

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