Recoil Corrections of Order $(Z\alpha {)}^6(m/M)m$ to the Hydrogen Energy Levels Revisited

Abstract

The recoil correction of order $(Z\alpha {)}^6(m/M)m$ to the hydrogen energy levels is recalculated and a discrepancy existing in the literature on this correction for the 1S energy level, is resolved. An analytic expression for the correction to the S-levels with arbitrary principal quantum number is obtained.

Comments: 17 pages, ReVTeX