High-precision determination of transition amplitudes of principal transitions in Cs from van der Waals coefficient C6
Andrei Derevianko
Abstract
A method for determination of atomic dipole matrix elements of principal transitions from the value of dispersion coefficient C6 of molecular potentials correlating to two ground-state atoms is proposed. The method is illustrated on atomic Cs using C6 deduced from high-resolution Feshbach spectroscopy. The following reduced matrix elements are determined < 6S1/2 || D || 6P1/2 > =4.5028(60) |e| a0 and < 6S1/2 || D || 6P3/2 > =6.3373(84) |e| a0 (a0= 0.529177 × 10-8 cm.) These matrix elements are consistent with the results of the most accurate direct lifetime measurements and have a similar uncertainty. It is argued that the uncertainty can be considerably reduced as the coefficient C6 is constrained further.
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