The Oscillations of Superfluid Neutron Stars
Abstract
The effects of superfluid hydrodynamics on the oscillations of neutron stars are investigated. The equations describing the smallamplitude pulsations of a neutron star's neutronproton superfluid mixture are reduced to a system of three secondorder equations for three scalar potentials. A variational principle is developed from which the frequencies of the modes of these superfluid oscillations may be estimated. These pulsations are studied by finding analytical solutions to the equations for simple uniform models of nonrotating neutron stars and numerical solutions for realistic models (including rotation). These solutions reveal that the lowest frequency modes are almost indistinguishable from those based on ordinaryfluid hydrodynamics. The analytical solutions also reveal the existence of a new set of modes having no ordinaryfluid counterpart.
 Publication:

The Astrophysical Journal
 Pub Date:
 February 1994
 DOI:
 10.1086/173682
 Bibcode:
 1994ApJ...421..689L
 Keywords:

 Hydrodynamics;
 Neutron Stars;
 Stellar Models;
 Stellar Oscillations;
 Superfluidity;
 Mathematical Models;
 Pulsed Radiation;
 Stellar Radiation;
 Astrophysics;
 DENSE MATTER;
 STARS: NEUTRON;
 STARS: OSCILLATIONS