Rotational structures of long-range diatomic molecules

Abstract

We present a systematic understanding of the rotational structure of a long-range (vibrationally highly-excited) diatomic molecule. For example, we show that depending on a quantum defect, the least-bound vibrational state of a diatomic molecule with $-C_n/r^n$ ($n>2$) asymptotic interaction can have only 1, 2, and up to a maximum of $n-2$ rotational states. A classification scheme of diatomic molecules is proposed, in which each class has a distinctive rotational structure and corresponds to different atom-atom scattering properties above the dissociation limit.

8 pages

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Cited by in corpus (16)

• Multichannel quantum-defect theory for slow atomic collisions
• Universal properties in ultracold ion-atom interactions
• Analytic description of atomic interaction at ultracold temperatures: the case of a single channel
• Quantum-defect theory for $-1/r^4$ type of interactions
• The scattering amplitude of ultracold atoms near the p-wave magnetic Feshbach Resonance
• Multiscale quantum-defect theory for two interacting atoms in a symmetric harmonic trap
• Quantum-defect theory of resonant charge exchange
• Rotational and rotationless states of weakly-bound molecules
• Bose atoms in a trap: a variational Monte Carlo formulation for the universal behavior at the Van der Waals length scale
• Controlling the s-wave scattering length with non-resonant light: Predictions of an asymptotic model
• Scattering length for Lennard-Jones potentials
• Universal behaviour of diatomic halo states and the mass sensitivity of their properties
• Near-threshold bound states of the dipole-dipole interaction
• Asymptotic model for shape resonance control of diatomics by intense non-resonant light: Universality in the single-channel approximation
• Controlling ultracold $p$-wave collisions with non-resonant light: Predictions of an asymptotic model for the generalized scattering volume
• Analytical solutions of the Schrödinger equation for two confined atoms with van der Waals interaction