Discriminating hadronic and quark stars through gravitational waves of fluid pulsation modes

We investigate non-radial oscillations of hadronic, hybrid and pure self-bound strange quark stars with maximum masses above the mass of the recently observed massive pulsars PSR J1614-2230 and PSR J0348-0432 with $M \approx 2 M_{\odot}$. For the hadronic equation of state we employ different parametrizations of a relativistic mean-field model and for quark matter we use the MIT bag model including the effect of strong interactions and color superconductivity. We find that the first pressure mode for strange quark stars has a very different shape than for hadronic and hybrid stars. For strange quarks stars the frequency of the p1 mode is larger than 6 kHz and diverge at small stellar masses, but for hadronic and hybrid stars it is in the range 4-6 kHz. This allows an observational identification of strange stars even if extra information such as the mass, the radius or the gravitational redshift of the object is unavailable or uncertain. Also, we find as in previous works that the frequency of the g-mode associated with the quark-hadron discontinuity in a hybrid star is in the range 0.4-1 kHz for all masses. Thus, compact objects emitting gravitational waves above 6 kHz should be interpreted as strange quark stars and those emitting a signal within 0.4-1 kHz should be interpreted as hybrid stars.Comment: 7 pages, 5 figure

Hybrid stars in the light of the massive pulsar PSR J1614-2230

We perform a systematic study of hybrid star configurations using several parametrizations of a relativistic mean-field hadronic EoS and the NJL model for three-flavor quark matter. For the hadronic phase we use the stiff GM1 and TM1 parametrizations, as well as the very stiff NL3 model. In the NJL Lagrangian we include scalar, vector and 't Hooft interactions. The vector coupling constant $g_v$ is treated as a free parameter. We also consider that there is a split between the deconfinement and the chiral phase transitions which is controlled by changing the conventional value of the vacuum pressure $- \Omega_0$ in the NJL thermodynamic potential by $- (\Omega_0 + \delta \Omega_0)$, being $\delta \Omega_0$ a free parameter. We find that, as we increase the value of $\delta \Omega_0$, hybrid stars have a larger maximum mass but are less stable, i.e. hybrid configurations are stable within a smaller range of central densities. For large enough $\delta \Omega_0$, stable hybrid configurations are not possible at all. The effect of increasing the coupling constant $g_v$ is very similar. We show that stable hybrid configurations with a maximum mass larger than the observed mass of the pulsar PSR J1614-2230 are possible for a large region of the parameter space of $g_v$ and $\delta \Omega_0$ provided the hadronic equation of state contains nucleons only. When the baryon octet is included in the hadronic phase, only a very small region of the parameter space allows to explain the mass of PSR J1614-2230. We compare our results with previous calculations of hybrid stars within the NJL model. We show that it is possible to obtain stable hybrid configurations also in the case $\delta \Omega_0=0$ that corresponds to the conventional NJL model for which the pressure and density vanish at zero temperature and chemical potential.Comment: 7 pages, 5 figures; typos in Table 1 have been correcte