Formation of Cs2 molecules via Feshbach resonances stabilized by spontaneous emission: theoretical treatment with the Fourier grid method
Laboratoire Aimé Cotton, CNRS, bâtiment 505, Campus d'Orsay,
91405 Orsay Cedex, France
Corresponding author: a firstname.lastname@example.org
Published online: 28 June 2002
This paper proposes a general method to investigate Feshbach resonances in atomic collisions similar to Cs(6s) + Cs(6p) in the thermal or cold regime. In order to compute the predissociation widths of the bound vibrational levels of Cs2, coupled both with the continuum and with the vibrational series, a Fourier grid method is implemented, with an optical potential. A convenient way of optimizing the latter is proposed. A large number of resonances are found and calculations of their cross-sections for stabilization into ground state molecules show that the rate may be important. This confirms the interpretation of Lintz and Bouchiat [Phys. Rev. Lett. 80, 2570 (1998)] who observed dimer formation in cell experiments. Possible generalization to the cold regime relies on the possibility to tune the position of a resonance to coincide with the maximum of the collisional energy distribution.
PACS: 33.80.Gj – Diffuse spectra; predissociation, photodissociation / 34.10.+x – General theories and models of atomic and molecular collisions and interactions (including statistical theories, transition state, stochastic and trajectory models, etc.) / 34.50.-s – Scattering of atoms and molecules / 03.65.Ge – Solutions of wave equations: bound states / 02.70.Jn – Collocation methods
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002