The relativistic nuclear recoil corrections to the energy levels of
low-laying states of hydrogen-like and high Z lithium-like atoms in all
orders in αZ are calculated. The calculations are carried out using the
B-spline method for the Dirac equation.
For low Z the results of the calculation are in good agreement with the
αZ -expansion results. It is found that the nuclear recoil
contribution, additional to the Salpeter's one, to the Lamb shift (n=2) of
hydrogen is −1.32(6)kHz. The total nuclear recoil correction to the energy
of the (1s)22p21​​−(1s)22s transition in lithium-like uranium
constitutes −0.07eV and is largely made up of QED contributions.Comment: 19 pages, latex, accepted for publication in Phys. Rev.