Theoretical study of the electronic structure of the LiRb and NaRb molecules

Scattering parameters for cold Li–Rb and Na–Rb collisions derived from variable phase theory

“…We use various potentials and compare and discuss results. Korek et al [14] calculated ab initio molecular potentials for the X 1 Σ + and a 3 Σ + states of LiRb and NaRb. Docenko et al [16] constructed an X 1 Σ + NaRb potential from experimental data and from the a 3 Σ + state potential made by Zemke et al [15].…”

“…Here we compute the s-wave scattering lengths and p-wave scattering volumes for the heteronuclear dimers NaRb and LiRb. We use ab initio molecular potentials for the two states X 1 Σ + and a 3 Σ + [14], as well as the latest X 1 Σ + and a 3 Σ + NaRb potentials based on experimental data [15,16]. A difficult problem in the accurate determination of the scattering length arises from the quality of the interatomic potential.…”

“…In section 2 we present our mathematical model, recall results from vari-able phase theory [10,19], give detail of our derivations and show that our results may also be derived by the method of Marinescu [12]. In section 3 we discuss the construction of the molecular potentials [14,15,16] and our results which we tabulate for all relevant isotopomers.…”

Formation of ultracold LiRb molecules by photoassociation near the Li(2 s 2 S 1/2 ) + Rb(5 p 2 P 1/2 ) asymptote

“…Accurate spectroscopic information is required for the production of such molecules. While the theoretical potential energy curves [21,22] have existed since 2000, it is only recently that high resolution spectroscopic studies on hot vapor-phase LiRb have been performed [23][24][25] Li (2s 2 S 1/2 , F = 2) + 85 Rb (5s 2 S 1/2 , F = 2) channel. Good spatial overlap of the two MOTs is monitored using a pair of cameras placed orthogonal to each other.…”

Sympathetic cooling route to Bose-Einstein condensate and Fermi-liquid mixtures

“…The values of s are found so that aT = ±17 a0, and the same scaling was assumed for the singlet. The scattering lengths were obtained from potential curves with ab initio data from [15], joined smoothly to an exponential wall of the form ce −bR at short separations R, and to the long-range form −C6/R 6 − C8/R 8 − C10/R 10 ∓ AR α e −βR at R=13.5 a0. Here, ∓ stands for the singlet X 1 Σ + and triplet a 3 Σ + molecular states, respectively.…”