Relativistic calculations of C₆ and C₈ coefficients for strontium dimers

الأصل · EN

The electric dipole and quadrupole polarizabilities of the 5s5p ³P₁ᵒ state and the C₆ and C₈ coefficients for the ¹S₀ + ¹S₀ and ¹S₀ + ³P₁ᵒ dimers of strontium are calculated using a high-precision relativistic approach that combines configuration interaction and linearized coupled-cluster methods. Our recommended values of the long range dispersion coefficients for the 0ᵤ and 1ᵤ energy levels are C₆(0ᵤ)=3771(32) a.u. and C₆(1ᵤ)= 4001(33) a.u., respectively. They are in good agreement with recent results from experimental photoassociation data. We also calculate C₈ coefficients for Sr dimers, which are needed for precise determination of long-range interaction potential. We confirm the experimental value for the magic wavelength, where the Stark shift on the ¹S₀-³P₁ᵒ transition vanishes. The accuracy of calculations is analyzed and uncertainties are assigned to all quantities reported in this work.