RELATIVISTIC CORRECTIONS TO BINDING-ENERGIES OF MUONIC MOLECULES

First-order perturbation theory has been applied to calculate the relativistic corrections to the binding energies and the hyperfine splittings of muonic hydrogen molecular ions xy (x,y=p,d,t). The calculations include small-distance corrections to the potential due to the finite size of the nuclei and vacuum polarization. The numerical accuracy of the results is 0.1 meV. The zeroth-order wave function employed was previously determined by Alexander and Monkhorst [Phys. Rev. A 38, 26 (1988)]. © 1990 The American Physical Society.