r-modes in stratified neutron stars with entrainment

We calculate the temperature-dependent r-mode spectrum of superfluid neutron stars with npeµ (neutron, proton, electron, muon) core composition. This study is an extension of the previous work by Kantor, Gusakov [MNRAS 469, 3928 (2017)], where such spectrum was calculated under simplifying assumptio...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-11, Vol.1400 (2), p.22007
Main Authors: Kantor, E M, Dommes, V A, Gusakov, M E
Format: Article
Language:English
Subjects:
Binary stars
Entrainment
Fluids
Neutron stars
Neutrons
Physics
Protons
Rotation
Superfluidity
Temperature dependence
X ray binaries
X ray stars
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Summary:We calculate the temperature-dependent r-mode spectrum of superfluid neutron stars with npeµ (neutron, proton, electron, muon) core composition. This study is an extension of the previous work by Kantor, Gusakov [MNRAS 469, 3928 (2017)], where such spectrum was calculated under simplifying assumption of vanishing entrainment between superfluid neutrons and superconducting protons. We show that accounting for the entrainment leads to non-analytic behavior of the spectrum at small rotation rates. Namely, we find that in the leading order in rotation accounting for any non-zero value of entrainment eliminates superfluid r-modes. We show that next-to-leading order in rotation restores the superfluid r-modes in the spectrum. We calculate this spectrum and show that for certain neutron star models normal r-mode experiences stabilizing resonances with superfluid r-modes. This confirms the scenario of Gusakov, Chugunov, and Kantor [PRL 112, 151101 (2014)] that explains neutron stars in low-mass X-ray binaries.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1400/2/022007