Dense supernova matter composed of n, p, e-, e+, nu(e) and nuBAR(e) is
investigated in detail by solving self-consistently a set of finite-t
emperature Hartree-Fock equations with an effective nucleon interactio
n. The effective interaction includes a phenomenological three-nucleon
interaction to assure the saturation property of symmetric nuclear ma
tter. Results of thermodynamic quantities and mixing ratios of respect
ive components are analyzed and tabulated for wide region of density (
rho = (1-6)rho0) and temperature (T = (10-40) MeV) by choosing the lep
ton fraction Y(l) = (0.3, 0.35, 0.4). We discuss particular properties
of the matter such as the constancy of composition, the large proton
fraction expressed by Y(p) congruent-to (2/3)Y(l) + 0.05 and the stiff
ened equation of state, and also discuss remarkable features of hot ne
utron stars at birth such as the fat density profile and the increasin
g temperature toward the center. It is shown that these features are c
aused essentially by the effects of neutrino trapping to generate the
high and constant lepton fraction and isentropic nature, the effects w
hich are absent in neutron star matter.