Interaction potentials and ultracold scattering cross sections for the ${}^7$Li${}^{+}$-${}^7$Li ion-atom system

Abstract

We calculate the isotope independent Li${}^{+}$-Li potential energy curves for the electronic ground and first excited states. Scattering phase shifts and total scattering cross section for the ${}^7$Li${}^{+}$-${}^7$Li collision are calculated with emphasis on the ultra-low energy domain down to the $s$-wave regime. The effect of physically motivated alterations on the calculated potential energy curves is used to determine the bound of accuracy of the low-energy scattering parameters for the ion-atom system. It is found that the scattering length for the A${}^2{\Sigma }_u^{+}$ state, $a_u$ = 1325 a${}_0$, is positive and has well-constrained bounds. For the X${}^2{\Sigma }_g^{+}$ state, the scattering length, $a_g$ = 20465 a${}_0$ has a large magnitude as it is sensitive to the restrained change of the potential, due to the presence of a vibrational state in the vicinity of the dissociation limit.

10 pages, 7 figures, 4 tables

References in corpus (7)

• A trapped single ion inside a Bose-Einstein condensate
• Controlling chemical reactions of a single particle
• Observation of collisions between cold Li atoms and Yb${}^{+}$ ions
• Non-relativistic ab initio calculations for $2^{2}S$, $2^{2}P$ and $3^{2}D$ lithium isotopes: Applications to polarizabilities and dispersion interactions
• Charge-exchange collisions between ultracold fermionic lithium atoms and calcium ions
• Deviations from Born-Oppenheimer mass scaling in spectroscopy and ultracold molecular physics
• Blue-sky bifurcation of ion energies and the limits of neutral-gas sympathetic cooling of trapped ions