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By performing high-resolution two-color photoassociation spectroscopy, wehave successfully determined the binding energies of several of the last boundstates of the homonuclear dimers of six different isotopes of ytterbium. Thesespectroscopic data are in excellent agreement with theoretical calculationsbased on a simple model potential, which very precisely predicts the s-wavescattering lengths of all 28 pairs of the seven stable isotopes. The s-wavescattering lengths for collision of two atoms of the same isotopic species are13.33(18) nm for ^{168}Yb, 3.38(11) nm for ^{170}Yb, -0.15(19) nm for ^{171}Yb,-31.7(3.4) nm for ^{172}Yb, 10.55(11) nm for ^{173}Yb, 5.55(8) nm for ^{174}Yb,and -1.28(23) nm for ^{176}Yb. The coefficient of the lead term of thelong-range van der Waals potential of the Yb_2 molecule is C_6=1932(30) atomicunits $(E_h a_0^6 \approx 9.573\times 10^{-26}$ J nm^6).

Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths