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Two-component Superfluid Hydrodynamics of Neutron Star Cores
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). University of Copenhagen, Denmark.
Number of Authors: 2
2017 (English)In: Astrophysical Journal, ISSN 0004-637X, E-ISSN 1538-4357, Vol. 836, no 2, 203Article in journal (Refereed) Published
Abstract [en]

We consider the hydrodynamics of the outer core of a neutron star under conditions when both neutrons and protons are superfluid. Starting from the equation of motion for the phases of the wave functions of the condensates of neutron pairs and proton pairs, we derive the generalization of the Euler equation for a one-component fluid. These equations are supplemented by the conditions for conservation of neutron number and proton number. Of particular interest is the effect of entrainment, the fact that the current of one nucleon species depends on the momenta per nucleon of both condensates. We find that the nonlinear terms in the Euler-like equation contain contributions that have not always been taken into account in previous applications of superfluid hydrodynamics. We apply the formalism to determine the frequency of oscillations about a state with stationary condensates and states with a spatially uniform counterflow of neutrons and protons. The velocities of the coupled sound-like modes of neutrons and protons are calculated from properties of uniform neutron star matter evaluated on the basis of chiral effective field theory. We also derive the condition for the two-stream instability to occur.

Place, publisher, year, edition, pages
2017. Vol. 836, no 2, 203
Keyword [en]
dense matter, hydrodynamics, pulsars: general, stars: interiors, stars: neutron
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-142499DOI: 10.3847/1538-4357/836/2/203ISI: 000395797900019OAI: oai:DiVA.org:su-142499DiVA: diva2:1095184
Available from: 2017-05-12 Created: 2017-05-12 Last updated: 2017-05-12Bibliographically approved

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