High accuracy results for the energy levels of the molecular ions H2+, D2+ and HD+, up to J=2

We present a nonrelativistic calculation of the rotation-vibration levels of the molecular ions H-2(+), D-2(+) and HD+, relying on the diagonalization of the exact three-body Hamiltonian in a variational basis. The J = 2 levels are obtained with a very high accuracy of 10(-14) au (for most levels) representing an improvement by five orders of magnitude over previous calculations. The accuracy is also improved for the J = I levels of H-2(+) and D-2(+) with respect to earlier works. Moreover, we have computed the sensitivities of the energy levels with respect to the mass ratios, allowing these levels to be used for metrological purposes.