Application of the resonating Hartree-Fock theory to the Lipkin model

Seiya Nishiyama, João da Providência, Constança Providência

Seiya Nishiyama, Kazuhiro Ishida, Moriyoshi Ido

Angel Ricardo Plastino, S. A. Moszkowski

Satoru Yamamoto, Akira Takahashi, Hideo Fukutome

Dietrich Klakow, M. Weber, P.‐G. Reinhard

Two microscopic theories for multiple resonances in nuclei are compared, n-particle-hole RPA and quantized Time-Dependent Hartree-Fock (TDHF). The Lipkin-Meshkov-Glick model is used as test case. We find that quantized TDHF is superior in many respects, except for very small systems. 1

Pan Zhang

The occupation renormalized Hartree-Fock single particle potential is extended to include the 'particle' state occupation. The exact solution, the solution of the occupation renormalized Hartree-Fock approximation and that of the Hartree-Fock approximation are calculated in Lipkin Model. It turns out that the RHF solution is more close to the exact one than the HF solution. The effect of occupation probability depends on the strength of the interaction of the two body term.