Order ${\alpha }^4(m/M)R_{\infty }$ corrections to hydrogen P levels

Abstract

The order ${\alpha }^4(m/M)R_{\infty }$ shift of hydrogen P levels is found. The corrections are predominantly of relativistic origin. Our approach is a straightforward extension of that developed and applied by us previously to positronium P levels. The corrections to the Lamb shift in hydrogen constitute numerically \delta E(2 P_{1/2})=0.55 kHz, \delta E(2 P_{3/2}) =0.44 kHz.

Comments: LaTeX, 11 pages, BudkerINP-94-79