A model for nuclear spin product-state distributions of ultracold chemical reactions in magnetic fields

Abstract

Based on a theoretical model where the nuclear spins remain unchanged during a collision, we provide an analytical and general expression for the nuclear spin state-to-state distribution of an ultracold chemical reaction in a magnetic field, for given rotational transitions of the molecules. It simply requires knowledge of the field-dependent eigenfunctions of the molecular reactants and products of the chemical reaction. The final state-to-state distribution drastically changes with the magnetic field. When the distribution is summed over all the final products, a simplified expression is found where only the knowledge of the eigenfunctions of the molecular reactants is required. The present theoretical formalism has been successfully used to explain the magnetic field behavior of the product-state distribution in chemical reactions of ultracold KRb molecules [Hu et al., Nat. Chem. 13, 435 (2021)].

References in corpus (17)

• Cold and Ultracold Molecules: Science, Technology, and Applications
• Cold molecules: Progress in Quantum Engineering of Chemistry and Quantum Matter
• Direct observation of bimolecular reactions of ultracold KRb molecules
• Quantum Dynamics of Ultracold Na + Na_2 collisions
• The hyperfine energy levels of alkali metal dimers: ground-state polar molecules in electric and magnetic fields
• Ultracold Li + Li_2 collisions: bosonic and fermionic cases
• Precision test of statistical dynamics with state-to-state ultracold chemistry
• Ultracold quantum dynamics: spin-polarized K + K_2 collisions with three identical bosons or fermions
• State-to-state control of ultracold molecular reactions
• Hyperfine structure of alkali-metal diatomic molecules
• Time-dependent wave packet dynamics calculations of cross sections for ultracold scattering of molecules
• Long-lived complexes and signatures of chaos in ultracold K2+Rb collisions
• The hyperfine energy levels of alkali metal dimers: ground-state homonuclear molecules in magnetic fields
• Statistical product distributions for ultracold reactions in external fields
• The effect of hyperfine interactions on ultracold molecular collisions: NH(^3Sigma^-) with Mg(^1S) in magnetic fields
• Probing ultracold chemistry using ion spectrometry
• Magnetic tuning of ultracold barrierless chemical reactions