2006/09/30 by M. Baldo, E. E. Saperstein, S. V. Tolokonnikov · 1 citation
Physics and Astronomy · #Many-body theory #Neutron #Neutron star #Nuclear drip line #Nuclear physics research studies #Pairing #Proton #Pulsars and Gravitational Waves Research #RADIUS #Scientific Research and Discoveries #Superfluidity #nucl-th
paper · pdf · doi:10.1140/epja/i2006-10356-5
published as Eur.Phys.J.A32:97-108,2007 · 24 pages, 14 figures; LaTeX, submitted to EPJA
arxiv created 2006/10/16 · openalex publication_date 2007/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 Rc of the WS cell. The effects are quite significant in the region where the neutron pairing gap is larger.