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Abstract : |
We examine here the validity of the small-amplitude limit of the nuclear Born-Oppenheimer (NBO) method by testing it on an analytically solvable model.To gain additional quantitative insight into its accuracy, we provide a comparison of its results with those of the small-amplitude limit of the time-dependent Hartree-Fock (TDHF) when applied to this model.A comparison of the exact, the random-phase approximation (RPA), and the NBO results reveals that the NBO energy is lower than its RPA counterpart and is in very good agreement with the exact spectrum.We also provide a quantitative assessment of the effects the approximations involved in the NBO method have on the results.We show that, when corrections to these approximations are considered, the NBO energy spectrum becomes much more accurate., |
