Decoupling of superfluid and normal modes in pulsating neutron stars

Details Decoupling of superfluid and normal modes in pulsating neutron stars Decoupling of superfluid and normal modes in pulsating neutron stars

2010-07-16

arxiv.org/abs/1007.2752v2

Phys.Rev.D83:081304(R),2011

Astronomy and Astrophysics

Astrophysics

Solar and Stellar Astrophysics

5 pages, 2 figures; published version + mistake in Eq.(6) and a few typos are corrected; results unchanged

Scientific paper

10.1103/PhysRevD.83.081304

We show that equations governing pulsations of superfluid neutron stars can be splitted into two sets of weakly coupled equations, one describing the superfluid modes and another one -- the normal modes. The coupling parameter s is small, |s| ~ 0.01-0.05, for realistic equations of state. Already an approximation s=0 is sufficient to calculate the pulsation spectrum within the accuracy of a few percents. Our results indicate, in particular, that emission of gravitational waves from superfluid pulsation modes is suppressed in comparison to that from normal modes. The proposed approach allows to drastically simplify modeling of pulsations of superfluid neutron stars.

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