Kavli Affiliate: Lijing Shao
| First 5 Authors: Hong-Bo Li, Yong Gao, Lijing Shao, Ren-Xin Xu, Rui Xu
| Summary:
The strong interaction at low energy scales determines the equation of state
(EOS) of supranuclear matters in neutron stars (NSs). It is conjectured that
the bulk dense matter may be composed of strangeons, which are quark clusters
with nearly equal numbers of $u$, $d$, and $s$ quarks. To characterize the
strong-repulsive interaction at short distance and the nonrelativistic nature
of strangeons, a phenomenological Lennard-Jones model with two parameters is
used to describe the EOS of strangeon stars (SSs). For the first time, we
investigate the oscillation modes of non-rotating SSs and obtain their
frequencies for various parameterizations of the EOS. We find that the
properties of radial oscillations of SSs are different from those of NSs,
especially for stars with relatively low central energy densities. Moreover, we
calculate the $f$-mode frequency of nonradial oscillations of SSs within the
relativistic Cowling approximation. The frequencies of the $f$-mode of SSs are
found to be in the range from $6.7,$kHz to $ 8.7,rm{kHz}$. Finally, we study
the universal relations between the $f$-mode frequency and global properties of
SSs, such as the compactness and the tidal deformability. The results we
obtained are relevant to pulsar timing and gravitational waves, and will help
to probe NSs’ EOSs and infer nonperturbative behaviours in quantum
chromodynamics.
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