Quantum-defect theory of resonant charge exchange

Abstract

We apply the quantum-defect theory for $-1/R^4$ potential to study the resonant charge exchange process. We show that by taking advantage of the partial-wave-insensitive nature of the formulation, resonant charge exchange of the type of ${}^1$S+${}^2$S can be accurately described over a wide range of energies using only three parameters, such as the \textit{gerade} and the \textit{ungerade} $s$ wave scattering lengths, and the atomic polarizability, even at energies where many partial waves contribute to the cross sections. The parameters can be determined experimentally, without having to rely on accurate potential energy surfaces, of which few exist for ion-atom systems. The theory further relates ultracold interactions to interactions at much higher temperatures.

8 pages, 7 figures

References in corpus (19)

• Feshbach Resonances in Ultracold Gases
• A trapped single ion inside a Bose-Einstein condensate
• Observation of Cold Collisions between Trapped Ions and Trapped Atoms
• Light-assisted ion-neutral reactive processes in the cold regime: radiative molecule formation vs. charge exchange
• Ultracold Neutral Plasmas
• Feshbach spectroscopy and analysis of the interaction potentials of ultracold sodium
• Quantum theory of ultracold atom-ion collisions
• Cold heteronuclear atom-ion collisions
• Multichannel quantum-defect theory for slow atomic collisions
• Challenges of laser-cooling molecular ions
• Multichannel quantum-defect theory for ultracold atom-ion collisions
• Universal model for exoergic bimolecular reactions and inelastic processes
• Universal properties in ultracold ion-atom interactions
• A new method for producing ultracold molecular ions
• Quantum Langevin model for exoergic ion-molecule reactions and inelastic processes
• Prospects for Doppler cooling of three-electronic-level molecules
• Prediction of Feshbach resonances from three input parameters
• Effective potentials for atom-atom interaction at low temperatures
• Rotational structures of long-range diatomic molecules

Cited by in corpus (12)

• Cold hybrid ion-atom systems
• Quantum-defect theory for $-1/r^4$ type of interactions
• Charge transfer in the cold Yb${}^{+}$ + Rb collisions
• Phase-locking between different partial-waves in atom-ion spin-exchange collisions
• Measurement of low-energy Na^+ -- Na total collision rate in an ion--neutral hybrid trap
• Signature of the $s$-wave regime high above ultralow temperatures
• Multichannel quantum-defect theory for ion-atom interactions
• Interactions and low energy collisions between an alkali ion and an alkali atom of different nucleus
• Ion loss events in a cold Rb-Ca${}^{+}$ hybrid trap: photodissociation, black-body radiation and non-radiative charge exchange
• Laser controlled charge-transfer reaction at low temperatures
• Ab initio electronic structure of the Sr${}_2^{+}$ molecular ion
• Multichannel Quantum Defect Theory with Numerical Reference Functions: Applications to Cold Atomic Collisions