A realistic model of superfluidity in the neutron star inner crust |
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Authors: | M Baldo E E Saperstein S V Tolokonnikov |
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Institution: | (1) INFN, Sezione di Catania, 64 Via S. Sofia, I-95123 Catania, Italy;(2) Kurchatov Institute, 123182 Moscow, Russia |
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Abstract: | A semi-microscopic self-consistent quantum approach developed recently to describe the inner-crust structure of neutron stars
within the Wigner-Seitz (WS) method with the explicit inclusion of neutron and proton pairing correlations is further developed.
In this approach, the generalized energy functional is used which contains the anomalous term describing the pairing. It is
constructed by matching the realistic phenomenological functional by Fayans et al. for describing the nuclear-type cluster in the center of the WS cell with the one calculated microscopically for neutron
matter. Previously, the anomalous part of the latter was calculated within the BCS approximation. In this work corrections
to the BCS theory which are known from the many-body theory of pairing in neutron matter are included into the energy functional
in an approximate way. These modifications have a sizable influence on the equilibrium configuration of the inner crust, i.e. on the proton charge Z and the radius R
c of the WS cell. The effects are quite significant in the region where the neutron pairing gap is larger. |
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Keywords: | 26 60 +c Nuclear matter aspects of neutron stars 97 60 Jd Neutron stars 21 65 +f Nuclear matter 21 60 -n Nuclear structure models and methods |
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