Sup-003

Rotationally resolved spectra of kinetic energy releases epsilon-c in predissociations of H/sub 2/, after dissociative charge exchange of H/sub 2/ /sup +/ with Cs atoms, are obtained. The experiments are performed with natural and with pure parahydrogen. The predissociations with epsilon-c<1.9 eV constitute less than 5% of the total amount of dissociations to HXchemically bondH at a beam energy of 5 keV. All strong rotational peaks observed could be attributed to n = 3 Rydberg states which predissociate to H(1s)+H(2l). Vibrational-rotational series are observed of the d /sup 3/Pi/sub u//sup +/, D /sup 1/Pi/sub u//sup +/, and J /sup 1/..delta../sub g//sup +/ states. Predissociation by barrier tunneling is reported of v = 4 levels of the h /sup 3/..sigma../sub g//sup +/ state and of v = 4 and 5 levels of the i /sup 3/Pi/sub g/ state. Selectivity of the charge-exchange process for different n = 3 states, or even for different parity states, is concluded.

All static and cylindrically symmetric vacuum solutions of Einstein's field equation with cosmological constant ..lambda.. are found. We use these solutions to represent the exterior metric of a cosmic string. If ..lambda.. is negative, the exterior approaches the anti--de Sitter metric away from the string. If ..lambda.. is positive, the exterior metric is either an scrR /sup 3/ x scrS /sup 1/ universe with a curvature singularity, an scrR /sup 2/ x scrS /sup 2/ universe with a conical singularity, or an scrR /sup 2/ x scrS /sup 2/ universe with no singularity.