EFFECTS OF A CORE ELECTRIC-DIPOLE MOMENT ON RYDBERG STATES

The problem of a hydrogenic atom with an electric dipolar nucleus is t reated as a simple model of the Rydberg states of a molecule with an e lectric dipolar core. This problem is separable in spherical polar coo rdinates, and the radial Schrodinger equation can be solved analytical ly. Alternatively, it provides an interesting example of Dalgarno-Lewi s direct perturbation theory. The perturbation solution is used to obt ain approximate formulae for various spectroscopically observable effe cts, including quantum defects, intensity effects, and orbital angular momentum matrix elements. These formulae should be applicable to stat es with small quantum defects, such as states with higher values of th e angular momentum quantum number l, but they are also useful in showi ng qualitative tendencies for other states.