The energies and mean lifetimes of the different vibrational states of
the 1SIGMA+ electronic ground state of NeAr2+ have been calculated us
ing the phase-shift technique. An efficient searching method for these
narrow resonances was developed. The calculated lifetime of the upsil
on = 12 vibrational state is in reasonable agreement with the experime
ntal value of 275+/-25 nsec, reported recently by Ben-Itzhak, Gertner,
and Rosner [Phys. Rev. A 47, 289 (1993)], while the lifetimes of othe
r states are more than three orders of magnitude off, thus determining
the long-lived vibrational state detected unambiguously. From the dif
ference between the calculated and measured mean lifetime, we have est
imated that the potential curve of this 26-electron system is accurate
to a few meV. We have also performed ab initio calculations of the 2S
IGMA+ electronic ground state of NeAr+ and calculated the Franck-Condo
n factors for the final vibrational-state distribution of the NeAr2+ m
olecular ion produced in the NeAr+ charge-stripping collisions in orde
r to estimate that high vibrational states are indeed produced in the
experiment. We have also examined the validity of the WKB method for c
alculating the lifetimes of highly excited vibrational states.