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We consider long-range interactions between two alkali-metal atoms in theirrespective ground states. We extend the previous relativistic many-bodycalculations of C_6 dispersion coefficients [Phys.Rev. Lett. {\bf 82}, 3589(1999)] to higher-multipole coefficients C_8 and C_10. A special attention ispaid to usually omitted contribution of core-excited states. We calculate thiscontribution within relativistic random-phase approximation and demonstratethat for heavy atoms core excitations contribute as much as 10% to thedispersion coefficients. We tabulate results for both homonuclear andheteronuclear dimers and estimate theoretical uncertainties. The estimateduncertainties for C_8 coefficients range from 0.5% for Li_2 to 4% for Cs_2.Comment: 12 pages, submitted to Journal of Chemical Physic

Accurate relativistic many-body calculations of van der Waals coefficients C8 and C10 for alkali-metal dimers