Scattering length of the ground-stateMg+Mgcollision

Abstract

We have constructed the X 1 Σ + g potential for the collision between two ground state Mg atoms and analyzed the effect of uncertainties in the shape of the potential on scattering properties at ultra-cold temperatures. This potential reproduces the experimental term values to 0.2 cm −1 and has a scattering length of +1.4(5) nm where the error is prodominantly due to the uncertainty in the dissociation energy and the C 6 dispersion coefficient. A positive sign of the scattering length suggests that a Bose-Einstein condensate of ground state Mg atoms is stable.

Properties of the triplet metastable states of the alkaline-earth-metal atoms

“…Another possible application is in the formation of BoseEinstein condensates (BEC) consisting of alkaline-earthmetal atoms [3,4] in their metastable triplet states. The stability, size and excitation modes of BECs depends on the sign (and magnitude) of the scattering length, and the scattering length depends sensitively on the precise values of the dispersion constants [5,6].…”

Ultracold Collision Properties of Metastable Alkaline-Earth Atoms

“…A ∼1 s magnetic trap lifetime for densities near 10 10 atoms/cm 3 is observed with metastable 88 Sr in experiments at Rice and Tokyo university [3,13]. These trap lifetimes are limited by background collisions rather than by the radiative lifetime, which is on the order of minutes [1].Molecular potentials -We have calculated short-range adiabatic potentials correlating to two 3 P 2 atoms using a molecular ab initio relativistic valence bond method, as previously described [14]. A variety of attractive and repulsive potentials, and a number of short-range avoided crossings appear among them.…”

“…Molecular potentials -We have calculated short-range adiabatic potentials correlating to two 3 P 2 atoms using a molecular ab initio relativistic valence bond method, as previously described [14]. A variety of attractive and repulsive potentials, and a number of short-range avoided crossings appear among them.…”

Possibility of observing energy decoherence due to quantum gravity

“…The precise values of scattering lengths and inelastic collision rates for Sr are unknown to the best of our knowledge. However, based on experiments [22] and theoretical calculations [23] for other atomic species one can obtain order of magnitude estimates of k 3 = 10 −41 m 6 /s and κ = 10 −17 m 3 /s. For these values one finds that the optimal N and V are N ≈ 10 5 and V ≈ 10 −14 m 3 respectively, which is very realistic from an experimental point of view.…”