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.

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Cited by in corpus (5)

• Individual assembly of two-species Rydberg molecules using optical tweezers
• Kato's theorem and ultralong-range Rydberg molecules
• Ultralong-range Rydberg molecules of Hg atoms
• Internal diffraction dynamics of trilobite molecules
• Spin-orbit-dependent lifetimes of long-range Rydberg molecules