Signature of the $s$-wave regime high above ultralow temperatures

Abstract

Physical processes involving charge transfer, spin exchange, or excitation exchange often occur in conditions of resonant scattering. We show that the $s$-wave contribution can be used to obtain a good approximation for the full cross section. This approximation is found to be valid for a wide range of scattering energies, including high above the Wigner regime, where many partial waves contribute. We derive an analytical expression for the exchange cross section and demonstrate its relationship to the Langevin cross section. We give examples for resonant charge transfer as well as spin-flip and excitation exchange. Our approximation can be used to gain information about the $s$-wave regime from data obtained at much higher temperatures, which would be advantageous for systems where the ultracold quantum regime is not easily reachable.

5 pages, 4 figures

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• Ab initio electronic structure and prospects for the formation of ultracold calcium--alkali-metal-atom molecular ions
• Quantum-Logic Detection of Chemical Reactions
• Ultracold ion-atom experiments: cooling, chemistry, and quantum effects
• Ion loss events in a cold Rb-Ca${}^{+}$ hybrid trap: photodissociation, black-body radiation and non-radiative charge exchange
• Universality of Efimov states in highly mass-imbalanced cold-atom mixtures with van der Waals and dipole interactions
• Quantum control of ion-atom collisions beyond the ultracold regime
• Fermi polaron in atom-ion hybrid systems
• Interactions and charge transfer dynamics of an Al${}^{+}$ ion immersed in ultracold Rb and Sr atoms
• Quantum suppression of cold reactions far from the s-wave energy limit
• Rigorous quantum calculations for atom-molecule chemical reactions in electric fields: from single to multiple partial wave regimes