Ab initio calculation of the spectrum of Feshbach resonances in NaLi + Na collisions

Abstract

We present a combined experimental and theoretical study of the spectrum of magnetically tunable Feshbach resonances in NaLi $(a^3{\Sigma }^{+})$ $+$ Na collisions. In the accompanying paper, we observe experimentally 8 and 17 resonances occur between $B=0$ and $1400$~G in upper and lower spin-stretched states, respectively. Here, we perform ab initio calculations of the NaLi $+$ Na interaction potential and describe in detail the coupled-channel scattering calculations of the Feshbach resonance spectrum. The positions of the resonances cannot be predicted with realistic uncertainty in the state-of-the-art ab initio potential, but our calculations yield a typical number of resonances that is in near-quantitative agreement with experiment. We show that the main coupling mechanism results from spin-rotation and spin-spin couplings in combination with the anisotropic atom-molecule interaction. The calculations furthermore explain the qualitative difference between the numbers of resonances in either spin state.

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Cited by in corpus (8)

• Diatomic molecules of alkali-metal and alkaline-earth-metal atoms: interaction potentials, dipole moments, and polarizabilities
• Spectrum of Feshbach resonances in NaLi $+$ Na collisions
• Magnetic Feshbach resonances in ultracold atom-molecule collisions
• Ultracold molecular collisions in magnetic fields: Efficient incorporation of hyperfine structure in the total rotational angular momentum representation
• Spin-polarized alkali-metal trimers revisited
• CaF+CaF interactions in the ground and excited electronic states: implications for collisional losses
• Rigorous quantum calculations for atom-molecule chemical reactions in electric fields: from single to multiple partial wave regimes
• Universality and threshold laws for collision lifetimes at ultralow temperatures