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A CBF calculation of 1S0 Superfluidity in the Inner Crust of Neutron Stars

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G. Pavlou, E. Mavrommatis, Ch. C. Moustakidis, J. W. Clark
G. Pavlou, E. Mavrommatis, Ch. C. Moustakidis, J. W. Clark


Singlet S-wave superfluidity of dilute neutron matter in the inner crust of neutron stars is studied within the correlated BCS (Bardeen, Cooper, Schrieffer) method, taking into account both pairing and short-range correlations. First, the equation of state (EOS) of normal neutron matter is calculated within the correlated-basis-function (CBF) method in lowest cluster order using the Argonne V18 and V4′ potentials and Jastrow-type correlation functions. The 1S0 superfluid gap is then calculated with these potentials and correlation functions. The dependence of our results on the choice of the correlation functions is ana- lyzed and the role of higher-order cluster corrections is considered. The values obtained for the 1S0 gap within this simplified scheme are comparable to those from other, more elaborate, methods.

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P. Haensel, A.Y. Potekhin, and D.G. Yakovlev, Neutron Stars 1, Equation of State and Structure, Springer (2007).

G. Pavlou, Master Thesis, University of Athens

G. Pavlou, E. Mavrom-matis, Ch. Moustakidis, J. W. Clark, to be published.

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DOI: http://dx.doi.org/10.12681/hnps.2567


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