Relativistic calculations of $C_6$ and $C_8$ coefficients for strontium dimers

摘要

The electric dipole and quadrupole polarizabilities of the $5s5p~^3\!P_1^o$state and the $C_6$ and $C_8$ coefficients for the $^1\!S_0 +\, ^1\!S_0$ and$^1\!S_0 +\, ^3\!P_1^o$ dimers of strontium are calculated using ahigh-precision relativistic approach that combines configuration interactionand linearized coupled-cluster methods. Our recommended values of the longrange dispersion coefficients for the $0_u$ and $1_u$ energy levels are$C_6(0_u)=3771(32)$ a.u. and $C_6(1_u)= 4001(33)$ a.u., respectively. They arein good agreement with recent results from experimental photoassociation data.We also calculate $C_8$ coefficients for Sr dimers, which are needed forprecise determination of long-range interaction potential. We confirm theexperimental value for the magic wavelength, where the Stark shift on the$^1\!S_0$-$^3\!P_1^o$ transition vanishes. The accuracy of calculations isanalyzed and uncertainties are assigned to all quantities reported in thiswork.