Relativistic corrections of mα^6 order to the ro-vibrational spectrum of H_2^+ and HD^+ molecular ions

Abstract

The major goal of the high-precision studies of ro-vibrational states in the hydrogen molecular ions is to provide an alternative way for improving the electron-to-proton mass ratio, or the atomic mass of electron. By now the complete set of relativistic and radiative corrections have been obtained for a wide range of ro-vibrational states of H_2^+ and HD^+ up to order R_\inftyα^4. In this work we complete calculations of various contributions to the R_\inftyα^4 order by computing the relativistic corrections to the binding energy of electron.

4 pages, 1 figure

References in corpus (1)

• Relativistic corrections of order mα^6 to the two-center problem

Cited by in corpus (1)

• Relativistic corrections of mα^6(m/M) order to the hyperfine structure of the H_2^+ molecular ion