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Nuclear Physics A

Particle-hole state density in the uniform spacing model

Frederick C. Williams

Published May 1, 1971• 256 citations
Publisher
DOI
10.1016/0375-9474(71)90426-x

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Fermion mean-field solutions for the Heisenberg and the t-J models have been obtained by considering particle-hole correlations and carrying out the mean-field-theory calculations in momentum space. At half-filling the solutions have mixed (s\ifmmode\pm\else\textpm\fi{}d)-wave-like symmetry and have a lower ground-state energy than the s (uniform phase) and the d phases. On doping, the solutions with mixed s and d symmetry still have lower ground-state energy than the uniform phase. In the presence of doping, the density of states at the Fermi level in the mixed phases is depressed from its value in the uniform phase and is in good agreement with the experimental data.
The purpose of this research was to investigate the transition densities distribution for two particles and holes using random phase approximation, with the assumption that the lower states of A+2 are two-particle actuators operating on correlated nuclei and A-2 are correlated two-hole operators operating on the same ground state. The investigation is limited to the s, p, and d shells. The PSD and WBP interactions were introduced to study the nuclear structure of 18B and 18N, constructed in (0 − 1)ħω model space in the total angular momenta and isospin scheme. The transition density was studied with the presence of modified surface delta interaction (MSDI). The Hamiltonian is used in this study within the potential of the harmonic oscillator (HO) to compute transition density.