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arXiv · 1709.06881

Angular-Momentum Couplings in Ultra-Long-Range Giant Dipole Molecules

Thomas Stielow·Stefan Scheel·Markus Kurz
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Abstract

In this article we extend the theory of ultra-long-range giant dipole molecules, formed by an atom in a giant dipole state and a ground-state alkali atom, by angular-momentum couplings known from recent works on Rydberg molecules. In addition to $s$-wave scattering, the next higher order of $p$-wave scattering in the Fermi-pseudopotential describing the binding mechanism is considered. Furthermore, the singlet and triplet channels of the scattering interaction as well as angular-momentum couplings such as hyperfine interaction and Zeeman interactions are included. Within the framework of Born--Oppenheimer theory, potential energy surfaces are calculated in both first-order perturbation theory and exact diagonalization. Besides the known pure triplet states, mixed-spin character states are obtained, opening up a whole new landscape of molecular potentials. We determine exact binding energies and wave functions of the nuclear rotational and vibrational motion numerically from the various potential energy surfaces.

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Thomas Stielow, Stefan Scheel, Markus Kurz. 2017-09-20. Angular-Momentum Couplings in Ultra-Long-Range Giant Dipole Molecules. https://doi.org/10.1103/physreva.97.022501

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