Abstract
Strange stars are one of the possible compact stellar objects formed in the core collapse of supernovae. These hypothetical stars are made by deconfined quark matter and are selfbound. In our study, we focus on the torsional oscillations of a non bare strange star, i.e., a strange star with a thin crust made of standard nuclear matter. We construct a theoretical model assuming that the inner parts of the star are in two different phases, namely the color flavour locked phase and the crystalline colour superconducting phase. Since the latter phase is rigid, with a large shear modulus, it corresponds to a first stellar crust. Above this crust a second small crust made by standard nuclear matter is suspended thanks to a strong electromagnetic dipolar moment. We focus on the electromagnetically coupled oscillations of the two stellar crusts. Notably, we find that if a small fraction of the energy of a glitch event like a typical Vela glitch is conveyed in torsional oscillations, the small nuclear crust will likely break. This is due to the fact that in this model the maximum stress, due to torsional oscillations, is likely located near the star surface.
Highlights
The properties of hadronic matter at densities higher than the nuclear saturation density are under intense theoretical and experimental inspection [1,2]
We numerically solve the equation for the non radial modes, considering the density inside the crystalline color superconducting (CCSC) crust as a constant and a realistic radial density dependence in the ionic crust
Since the transition between the color flavour locked (CFL) and CCSC phase depends on the unknown pressure difference between the two phases, we define RCFL = aRq with a a parameter that varies between 0 and 1, and we study the problem varying a
Summary
The properties of hadronic matter at densities higher than the nuclear saturation density are under intense theoretical and experimental inspection [1,2]. If deconfined quarks are present in the core, we are in the presence of the second class of CSOs, the hybrid stars. The estimated radius is of the order of ten kilometers Using these observed values it is not possible to determine the nature of the CSOs because strange stars and hybrid stars can masquerade as standard neutron stars [5]. The existence of strange stars is based on the hypothesis of Bodmer [6] and Witten [7] that standard nuclei are in a metastable state According to this hypothesis, the real ground state of hadronic matter is a configuration that corresponds to an hypothetical short range free-energy minimum of the strong interaction. In the CFL phase u, d, s quarks of all colors pair coherently in a BCS-like state, maximizing the free-energy gain. In the present contribution to the proceedings of the CSQCD VI conference we report on the latter study
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