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We introduce a computational method developed for study of long-rangemolecular Rydberg states of such systems that can be approximated by twoelectrons in a model potential of the atomic cores. Only diatomic molecules areconsidered. The method is based on a two-electron \rmath approach inside asphere centered on one of the atoms. The wave function is then connected to aCoulomb region outside the sphere via multichannel version of the CoulombGreen's function. This approach is put into a test by its application to astudy of Rydberg states of the hydrogen molecule for internuclear distances $R$from 20 to 400 bohrs and energies corresponding to $n$ from 3 to 22. Theresults are compared with previous quantum chemical calculations (lower quantumnumbers $n$) and computations based on contact potential models (higher quantumnumbers $n$).

Adiabatic potential energy curves of long-range Rydberg molecules: Two-electron R-matrix approach