Accurate adiabatic potentials of the two lowest (1)Sigma(g) states of He-2(2+)

Accurate, explicitly correlated variational wavefunctions are constructed f or the two lowest (1)Sigma(g) states of He-2(2+). Born-Oppenheimer potentia ls, adiabatic corrections and non-adiabatic couplings between both states a re computed for internuclear separations from 0.4 to 25.0 a(0). The Born-Op penheimer potentials are compared with existing published results and, in t he case of the ground state, disturbing discrepancies are found. It is argu ed that some of the generally accepted results in the literature are numeri cally inaccurate. Approximate positions of the lowest resonances in the ele ctronic ground state are determined and it is shown that adiabatic correcti ons strongly affect these positions.