Optimum Collective Submanifold in Resonant Cases by the Self-Consistent Collective-Coordinate Method for Large-Amplitude Collective Motion

Yukio Hashimoto, Toshio Marumori, Fumihiko Sakata
1987 Progress of theoretical physics  
With the purpose of clarifying characteristic difference of the optimum collective submanifolds between in nonresonant and resonant cases, we propose an improved method of solving the basic equations of the self-consistent collective-coordinate (See) method, which describes optimum ("maximally-decoupled") large-amplitude collective motion within the time-dependent Hartree-Fock theory. It is shown that, in the resonant cases, there inevitably arise essential coupling terms which break the
more » ... -decoupling property of the collective motion, so that we have to extend the optimum collective submanifold so as to properly treat the degrees of freedom bringing about the resonances. An illustrative example is given with a simple model Hamiltonian.
doi:10.1143/ptp.78.1364 fatcat:gdzhj4obgjdovni55bpgsram6a