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All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
Published on: January 19, 2018
Three-Loop Slope of the Dirac Form Factor and the 1S Lamb Shift in Hydrogen
1Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309.
Abstract:
The last unknown contribution to hydrogen energy levels at order mα^{7}, due to the slope of the Dirac form factor at three loops, is evaluated in a closed analytical form. The resulting shift of the hydrogen nS energy level is found to be 3.016/n^{3} kHz. Using the QED calculations of the 1S Lamb shift, we extract a precise value of the proton charge radius r_{p}=0.883±0.014 fm.
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