Statistics – Methodology
Scientific paper
Jan 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phdt........43d&link_type=abstract
Thesis (PH.D.)--WASHINGTON UNIVERSITY, 1992.Source: Dissertation Abstracts International, Volume: 53-07, Section: B, page: 3551
Statistics
Methodology
Neutron Star
Scientific paper
The dissertation is divided into two parts. Part One presents improved results for the nucleonic superfluid energy gaps in neutron star matter based on spin dependent correlations. These calculations were carried out in three steps. First, separate density dependent three parameter correlation functions for singlet and triplet spin channels were determined to minimize the normal ground state energy at lowest cluster order. Next, these correlation functions were employed to compute the effective nucleon mass and singlet S wave pairing matrix elements. Finally, the latter results were used to feed the non-linear gap equation which was solved by iteration. The implications of these new results are discussed within the context of polarization effects upon the pairing phenomenon due to the background medium. Part Two presents new methodology and formalism for calculating the two-body distribution function of ground state fermion matter using spin dependent correlations. The new framework is first introduced and developed in the familiar setting of the traditional diagrammatic methods of Fermi hypernetted chain (FHNC) theory as applied to the state independent Jastrow ansatz for the correlation function. This framework is then applied to Owen's spin -sensitive independent pair ansatz, leading to a new spin -sensitive FHNC algorithm.
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