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To support efforts on cooling and trapping of alkaline-earth atoms anddesigns of atomic clocks, we performed ab initio relativistic many-bodycalculations of electric-dipole transition amplitudes between low-lying statesof Mg, Ca, and Sr. In particular, we report amplitudes for ^1P_1 --> ^1S_0,^3S_1, ^1D_2$, for ^3P_1 --> ^1S_0, ^1D_2, and for ^3P_2 --> ^1D_2 transitions.For Ca, the reduced matrix element <4s4p, ^1P_1 ||D|| 4s^2, ^1S_0> is in a goodagreement with a high-precision experimental value deduced fromphotoassociation spectroscopy [Zinner et al., Phys.Rev.Lett., v.85, 2292(2000)]. An estimated uncertainty of the calculated lifetime of the (3s3p^1P_1) state of Mg is a factor of three smaller than that of the most accurateexperiment. Calculated binding energies reproduce experimental values within0.1-0.2%.Comment: 12 pages, 1 figure, submitted to Phys.Rev.

Many-body calculations of electric-dipole amplitudes for transitions between low-lying levels of Mg, Ca, and Sr