High-precision calculations of van der Waals coefficients for heteronuclear alkali-metal dimers

Abstract

Van der Waals coefficients for the heteronuclear alkali-metal dimers of Li, Na, K, Rb, Cs, and Fr are calculated using relativistic ab initio methods augmented by high-precision experimental data. We argue that the uncertainties in the coefficients are unlikely to exceed about 1%.

Formation of fermionic molecules via interisotope Feshbach resonances

“…The scattering lengths found are consistent with previous determinations [16,22]. Our C 6 coefficient agrees with the values found in ab initio calculations [14,23].…”

XΣ+1andaΣ+Staanum1, Pashov2, Knöckel3 et al. 2007Phys. Rev. A1199592View full textAdd to dashboardCite

“…The dispersion coefficients C 6 and C 8 are taken from Refs. [40,41]. With the present data sets we are also able to reproduce the experimental data with the same quality of the fit by fixing these coefficients to the values from Ref.…”

“…R o is chosen as described in Refs. [27,38], the C 6 and C 8 coefficients are fixed to their theoretical values [39,40,41], γ and β are estimated using the ionization potentials for Li and Cs [42] according to Ref. [37], while U ∞ , C 10 and A ex are adjusted during the fitting procedure.…”

Asymptotic-bound-state model for Feshbach resonances

“…The energy of these states is obtained by finding the poles of the total S matrix Eq. (22). This results in solving we readily obtain…”

“…(17). The van der Waals coefficient used is C 6 = 2322E h a 6 0 [22], where E h = 4.359 74 × 10 −18 J and a 0 = 0.052 917 72 nm. The value of η 01 11 has been plotted as a function of the triplet binding energy 1 for three different values of the singlet binding energy 0 .…”