This article describes the use of the inverted perturbation approach method
for construction of an accurate potential energy curve of the E(1)Sigma ()(g) "shelf" state in Li-2. Contrary to previous reports the applied method
provides a potential curve free of unphysical oscillations and reproduces
energies of all the levels known from previous experiments. Our results con
firm the possibility of describing the E state within the Born-Oppenheimer
approximation. (C) 2001 American Institute of Physics.