Some Asymptotic Formulae for One-Electron Two-Center Problem
Asymptotic formulae of some expectation values related to the relativistic corrections in inverse powers of the internuclear distance R for the 1sσg electron state of hydrogen molecular ion H2+ and the 1sσ molecule-like state of antiprotonic helium atom He+p are obtained with the use of the first-order perturbation function. Using these asymptotic formulae, the relativistic correction of order mα6 for these states in reciprocal powers of the internuclear distance R is derived to accuracy of О(R-4).