Effects of dark boson mediated feeble interaction between dark matter (DM) and quark matter on f-mode oscillation of DM admixed quark stars

O. P. Jyothilakshmi; Lakshmi J. Naik; Debashree Sen; Atanu Guha; V. Sreekanth

doi:10.1140/epjc/s10052-025-14109-w

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 461
https://doi.org/10.1140/epjc/s10052-025-14109-w

Regular Article - Theoretical Physics

Effects of dark boson mediated feeble interaction between dark matter (DM) and quark matter on f-mode oscillation of DM admixed quark stars

O. P. Jyothilakshmi¹, Lakshmi J. Naik¹, Debashree Sen², Atanu Guha³ and V. Sreekanth¹^a

¹ Department of Physics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore, India
² Center for Extreme Nuclear Matters (CENuM), Korea University, 02841, Seoul, Korea
³ Department of Physics, Chungnam National University, 99, Daehak-ro, Yuseong-gu, 34134, Daejeon, South Korea

^a v_sreekanth@cb.amrita.edu

Received: 25 October 2024
Accepted: 22 March 2025
Published online: 25 April 2025

Abstract

We investigate the behavior of the prominent non-radial fundamental f-mode oscillations of dark matter (DM) admixed strange quark stars (DMSQSs), by adopting an equation of state (EoS) developed in Ref. Sen and Guha (Mon Not R Astron Soc 517:518, 2022. https://doi.org/10.1093/mnras/stac2675), which considers the possible presence of feebly interacting DM in strange quark stars (SQSs) for the first time. Within the model, feeble interaction between fermionic DM $χ$ $\chi$ and strange quark matter (SQM) is invoked via a vector new physics mediator $ξ$ $\xi$ with coupling strength $y_{ξ}$ $y_{\xi }$ . The pure SQM is described by the vector MIT Bag model. By varying different EoS parameters, the structural properties viz. the mass, radius and tidal deformability ( $Λ$ $\Lambda$ ) of the DMSQSs are studied with respect to various astrophysical constraints. We study in detail the f-mode spectra within the Cowling approximation by obtaining the frequencies as a function of mass, compactness and $Λ$ $\Lambda$ of the star. To the best of our knowledge, this study represents the first analysis of non-radial f-mode oscillations of DMSQSs. Our investigation indicates that the presence of DM and its interaction with SQM has great impact on the f-modes. We show that the f-mode frequencies are larger for DMSQSs, which are largely populated with massive DM fermions, compared to the SQSs. Further, we obtain a linear empirical relation between the f-modes and the average density of the star. We also find that the mass-scaled angular frequency varies universally with compactness and $ln Λ$ $\ln {\Lambda }$ for DMSQSs. Further, our studies indicate that the inclusion of DM in compact stars reduces the deviation of f-mode frequency from general relativistic to Cowling approximation.

© The Author(s) 2025

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