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Published April 1, 1975 | public
Journal Article Open

Some applications of excited-state-excited-state transition densities

Abstract

We derive an approximation for transition moments between excited states consistent with the approximations and assumptions normally used to obtain transition moments betwen the ground and excited states in the random-phase approximation and its higher-order approximations. We apply the result to the calculation of the photoionization cross sections of the 23S and 21S metastable states of helium by a numerical analytical continuation of the frequency-dependent polarizability. The procedure completely avoids the need for continuum basis functions. The cross sections agree well with the results of other calculations. We also predict an accurate two-photon decay rate for the 21S metastable state of helium. The entire procedure is immediately applicable to several problems involving photoionization of metastable states of molecules.

Additional Information

©1975 The American Physical Society. Received 29 October 1974. Two of the authors (V.M. and D.L.Y.) would like to thank Thomas Rescigno and William McCurdy for many helpful discussions on the numerical analytical procedures. One of us (M.A.C.N.) would like to thank Patrick H. S. Martin for helpful discussions concerning the analytical continuation procedure. He also thanks Conselho Nacional de Pesquisas (Brasil) for financial support and Instituto de Quimica UFRJ for a leave of absence.

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August 22, 2023
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