Using the Doppler-free resonantly enhanced two-photon technique, we have experimentally studied the Stark shift of Cs atom in a weak electric field and obtained the scalar and tensor polarizabilities of n 2 P 3/2 (n = 25-50) Rydberg states. The experimental results are compared with the calculated ones and the reason for the discrepancy between them is discussed.
The analytical wavefunctions and oscillator strengths between highly excited states of alkali atoms over a wide range of principal quantum number n ( 1 0 s n 6 4 0 , and for Na, n S 60) are calculated straightforwardly by using a simple, one-parameter, exactly soluble model for atoms. The valence electron of the atom is assumed to be in a potential of the following form:ff' where a', p', y' are the parameters to be determined and S is the ionicity. Analytical solutions can be obtained by solving the Schrodinger equation containing V ( r ) . The parameters in the potential and the wavefunction, which are dependent on the atomic states, can be expressed in terms of a single parameter, the quantum defect. The wavefunctions of the alkali atoms were obtained, and their general behaviour and the number of nodes agree with Hartree-Fock-Slater theory. This model is well suited for studying the behaviour of atoms that are mainly dependent of the outer region of high Rydberg states. The oscillator strengths calculated by this model for transitions between high Rydberg states of the alkali atoms agree well with those obtained by the Coulomb approximation, and the calculated scalar polarisabilities agree well with the experimental values. A scaling relation is found to be reliable for evaluating the oscillator strengths between high Rydberg states with n = 100. The variation of oscillator strengths with respect to n and Z are also presented.
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