Parabolic versus spherical partial cross sections for photoionization excitation of He near threshold

Abstract

Spherical and parabolic partial cross sections and asymmetry parameters, defined in the ejected electron frame, are presented for photoionization excitation of the helium atom at $0.1\phantom{\rule{0.3em}{0ex}}\mathrm{eV}$ above its double ionization threshold. A quantitative law giving the dominant spherical partial wave ${l}_{\mathrm{dom}}$ for each excitation level $n$ is obtained. The parabolic partial cross sections are shown to satisfy the same approximate selection rules as the related Rydberg series of doubly excited states ${(K,T)}_{n}^{A}$. The analysis of radial and angular correlations reveals the close relationship between double excitation, ionization excitation, and double ionization. Opposite to a widespread belief, the observed value of the asymmetry parameter is shown to result from the interplay of radial correlations and symmetry constraints, irrespective of angular correlations. Finally, the measurement of parabolic partial cross sections is proposed as a challenge to experimentalists.