C. Chakravarty et al., EFFECTS OF 3-BODY (AXILROD-TELLER) FORCES ON THE CLASSICAL AND QUANTUM BEHAVIOR OF RARE-GAS TRIMERS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 56(1), 1997, pp. 363-377
We have studied the structure and dynamics of nonrotating rare-gas tri
mers bound by a potential that combines two-body Lennard-Jones interac
tions and three-body Axilrod-Teller (triple dipole) interactions. Both
classical and quantum trimers are examined. We investigate the onset
and development of chaotic dynamics in the classical clusters by compu
ting the Liapunov exponents associated with various phase space trajec
tories. In our studies of the quantum clusters, we examine the structu
re of the vibrational eigenstates, the statistical properties of the d
istribution of energy levels, and the average cluster structure at fin
ite temperatures. Both avenues of research are principally aimed at un
derstanding the effect of the three-body term on the clusters' behavio
r. We find that the three-body term gives rise to an integrable or nea
rly integrable component of phase space that is associated with the cl
usters' linear configuration and that manifests itself in both the cla
ssical and quantum properties of the trimers. The finite temperature s
tructures predicted for quantum Ne, clusters suggest that over the ran
ge of parameters considered here, these clusters are sufficiently delo
calized that properties associated with the linear configuration shoul
d be readily observable, even at very low temperatures.