A procedure for systematically evaluating the long-range dispersion interaction between two homonuclear atoms in arbitrary
LS coupled states is outlined. The method is then used to generate dispersion coefficients for a number of the low-lying states of the Na and Mg dimers.
Metastability and long-range interactions of Mg, Ca, and Sr in the lowest-energy metastable
3P2 state are investigated. The calculated lifetimes are 38 min for
Mg∗, 118 min for
Ca∗, and 17 min for
Sr∗, supporting feasibility of cooling and trapping experiments. The quadrupole-quadrupole long-range interactions of two metastable atoms are evaluated for various molecular symmetries. Hund's case (c)
4g potential possesses a large 100--1000 K potential barrier. Therefore magnetic trap losses can possibly be reduced using cold metastable atoms in a stretched
M=2 state. Calculations were performed in the framework of ab initio relativistic configuration interaction method coupled with the random-phase approximation.