Green's function treatment of Rydberg molecules with spins
Abstract
The determination of ultra-long-range molecular potential curves has been reformulated using the Coulomb Greens function to give a solution in terms of the roots of an analytical determinantal equation. For a system consisting of one Rydberg atom with fine structure and a neutral perturbing ground state atom with hyperfine structure, the solution yields potential energy curves and wavefunctions in terms of the quantum defects of the Rydberg atom and the electron-perturber scattering phaseshifts and hyperfine splittings. This method provides a promising alternative to the standard currently utilized method of diagonalization, which suffers from problematic convergence issues and nonuniqueness, and can potentially yield a more quantitative relationship between Rydberg molecule spectroscopy and electron-atom scattering phaseshifts.
Keywords
Cite
@article{arxiv.2308.02692,
title = {Green's function treatment of Rydberg molecules with spins},
author = {Chris H. Greene and Matthew T. Eiles},
journal= {arXiv preprint arXiv:2308.02692},
year = {2025}
}