Effects of Superfluidity on Spheroidal Oscillations of Neutron Stars

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The cores and crusts of neutron stars contain neutron superfluid. A short-wavelength analysis of the effects of superfluidity on neutron star oscillations (Epstein 1988) revealed greatly changed sound speeds. Subsequently, Van Horn & Epstein (1990) examined the global toroidal oscillation modes and found the effects of superfluidity to be significant for them as well. In this paper we report some preliminary results of an investigation of the effects of superfluidity on the global spheroidal oscillations of neutron stars. Specifically we consider the effects of coupling between the superfluid and the lattice in the crust of the star. We find that the s-modes, which are spheroidal shear-wave oscillations of the crust, and the p-modes, or pressure modes, are affected by superfluidity in much the same way as the toroidal modes. This research has been supported in part by NASA grant NAGW-2444 and in part by NSF grant AST 91-15132. \begin{center}References Epstein, R. I. 1988, Ap. J., 333, 880. Van Horn, H. M., and Epstein, R. I. 1990, Bull. A. A. S., 22, 748.

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