Determination of the87Rb5pstate dipole matrix element and radiative lifetime from the photoassociation spectroscopy of the

R.F. Gutterres

¹

,

C. Amiot

²

,

A. Fioretti

³

et al.

Abstract

We present a detailed study of the 0 g Ϫ ( P 3/2 ) pure long-range electronic state of the 87 Rb 2 molecule. The high-resolution spectral data provided by photoassociative spectroscopy of 87 Rb 2 is analyzed by using the generalized simulated annealing method. The dipole matrix element of the 5p 87 Rb atomic state and other effective asymptotic parameters for the 0 g Ϫ ( P 3/2 ) long-range state are determined and a complete analytical description of the potential well is obtained. We extract a radiative lifetime of the 5 P 3/2 and 5 P 1/2 states equal to 26.25͑8͒ ns and 27.75͑8͒ ns, respectively, with a precision ͑0.3%͒ comparable to atomic physics experiment.

Production of ultracold molecules with chirped nanosecond pulses: Evidence for coherent effects

“…whereT is the kinetic energy operator andV j (j = g, 0 or 1 for the a 3 Σ + u , 0 − g and 1 g electronic states) are the internuclear potentials computed in [16] with coefficients from [17] adjusted for the proper scattering length [18,19]. The two excited states correspond to the assignment of [13].…”

Short-pulse photoassociation in rubidium below theD1line

“…[34], while the coefficients for the 5S +5P asymptote are taken from Ref. [35]. The repulsive barrier of the (5S + 5S) potentials has been adjusted to give a triplet (singlet) scattering length of 99 a 0 (90 a 0 ).…”

Calculation of radiative corrections toE1matrix elements in the neutral alkali metals

“…This has allowed the determination of the lifetime of the 2p 1/2 state of lithium as 27.102(7) ns [3], the lifetime of the 3p 3/2 state of sodium as 16.230(16) ns [4], the lifetimes of the 4p 1/2 and 4p 3/2 states of potassium as 26.69(5)ns and 26.34(5) ns [5], the lifetimes of the 5p 1/2 and 5p 3/2 states of rubidium as 27.75(8) ns and 26.25 (8) ns [6], and the lifetimes of the 6p 1/2 and 6p 3/2 states of cesium as 34.88(2) ns and 30.462(3) ns [7]. (References to other experimental determinations of lifetimes, some of which are of higher accuracy, can be found in the above references.…”