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A numerical method to solve time-dependent Hartree-Fock-Bogoliubov equationis proposed to treat the case with Gogny effective interaction. To check thefeasibility of the method, it is applied to oxygen isotope O20 and smallamplitude oscillations are calculated. The conservation of the nucleon numbersas well as energy expectation value is demonstrated. The strength distributionsof the small amplitude quadrupole oscillations are also shown.

A numerical method of solving time-dependent Hartree-Fock-Bogoliubov equation with Gogny interaction