Rotational and rotationless states of weakly-bound molecules

Abstract

By making use of the quantization rule of Raab and Friedrich [P. Raab and H. Friedrich, Phys. Rev. A 78, 022707 (2008)], we derive simple and accurate formulae for the number of rotational states supported by a weakly-bound vibrational level of a diatomic molecule and the rotational constants of any such levels up to the threshold, and provide a criterion for determining whether a given weakly-bound vibrational level is rotationless. The results depend solely on the long-range part of the molecular potential and are applicable to halo molecules.

slightly corrected version, 4 pages, 1 figure, 3 tables

References in corpus (6)

• Production of cold molecules via magnetically tunable Feshbach resonances
• Inter-isotope determination of ultracold rubidium interactions from three high-precision experiments
• The coupling of the X${}^1{\Sigma }^{+}$ and a${}^3{\Sigma }^{+}$ states of KRb
• Improved LeRoy-Bernstein near-dissociation expansion formula. Tutorial application to photoassociation spectroscopy of long-range states
• Metastable Feshbach Molecules in High Rotational States
• Rotational structures of long-range diatomic molecules

Cited by in corpus (5)

• Manipulation of Molecules with Electromagnetic Fields
• High resolution photoassociation spectroscopy of the ${}^6$Li${}_2$ $1^3{\Sigma }_g^{+}$ state
• Probing weakly-bound molecules with nonresonant light
• Fine-tuning molecular energy levels by nonresonant laser pulses
• Effect of a magnetic field on molecule-solvent angular momentum transfer