Dispersion and damping of collective modes in the neutron star core

D.N. Kobyakov1,2, C.J. Pethick3,4, S. Reddy5,6, A. Schwenk2,7,8

1Institute of Applied Physics of the Russian Academy of Sciences, 603950 Nizhny Novgorod, Russia
2Institut für Kernphysik, Technische Universitaet Darmstadt, 64289 Darmstadt, Germany
3The Niels Bohr International Academy, The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark
4NORDITA, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden
5Institute for Nuclear Theory, University of Washington, Seattle, WA 98195-1550
6Department of Physics, University of Washington, Seattle, WA 98195-1550
7ExtreMe Matter Institute EMMI, GSI Helmholtzzentrum fuer Schwerionenforschung GmbH, 64291 Darmstadt, Germany
8Max-Planck-Institut für Kernphysik, Saupfercheckweg 1, 69117 Heidelberg, Germany

We calculate the frequencies of collective modes of neutrons, protons and electrons in the outer core of neutron stars. The neutrons and protons are treated in a hydrodynamic approximation and the electrons are regarded as collisionless. The coupling of the nucleons to the electrons leads to Landau damping of the collective modes and to significant dispersion of the low-lying modes. We investigate the sensitivity of the mode frequencies to the strength of entrainment between neutrons and protons, which is not well characterized. The contribution of collective modes to the thermal conductivity is evaluated.

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