Hyperfine rovibrational states of H₃⁺ in a weak external magnetic field

2024/10/25 by Gustavo Avila, Avila, Gustavo, Ayaki Sunaga +5
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2410.19963

Abstract

Rovibrational energies, wave functions, and Raman transition moments are reported for the lowest-energy states of the H₃⁺ molecular ion including the magnetic couplings of the proton spins and molecular rotation in the presence of a weak external magnetic field. The rovibrational-hyperfine-Zeeman Hamiltonian matrix is constructed and diagonalized using the rovibrational eigenstates and the proton spin functions. The developed methodology can be used to compute hyperfine-Zeeman effects also for higher-energy rovibrational excitations of H₃⁺ and other polyatomic molecules. These developments will guide future experiments extending quantum logic spectroscopy to polyatomic systems.

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