High-Density Nucleon Localization

Details High-Density Nucleon Localization High-Density Nucleon Localization

Mar 1972

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1972phrvd...5.1273c&link_type=abstract

Physical Review D, vol. 5, Issue 6, pp. 1273-1285

Physics

13

Scientific paper

A nucleon system interacting by means of the Reid soft-core potential is considered at the very high densities which would be found in the core regions of neutron stars. The question of nucleon localization is considered, first with a simple Wigner-type calculation and then with a variational calculation in which the degree of crystallization is used as a variational parameter. The conclusion is that for some range of densities between r0=0.2 F and r0=0.8 F (VN=4πr033) nucleons should localize in the sense that a crystal-like wave function which introduces particle anticorrelations by localizing the particles with respect to a periodic lattice is preferable to a plane-wave type of wave function which has only statistical correlations and that this is probably not true outside this region. There is no attempt to distinguish liquids from crystals, merely a gas from a crystal. The energy upper bounds resulting from the variational calculation are also given.

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