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Engineering Physics

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ON THE PROTON RADIUS PROBLEM IN THE FRAMEWORK OF THE NUMERICAL SOLUTION OF THE DIRAC EQUATION FOR THE ELECTRON IN THE 1S-STATE WITH THE EXPONENTIAL PROTON ELECTRIC CHARGE DISTRIBUTION
A.P. DAVYDOV, T.P. ZLYDNEVA

By solving the Dirac equation, the energies of an electron in the 1s state in a hydrogen atom were calculated for the proton radius values of 0.8751, 0.8414, and 0.8335 fm, taking into account the exponential distribution of its charge, using the CODATA constants 2014 and 2019. The results obtained can shed light on the puzzle of the proton radius.
Keywords: Schrodinger equation, Dirac equation, proton charge radius, Rydberg constant, relativistic corrections, Lamb shift.


DOI: 10.25791/infizik.11.2020.1171

Pp. 03-07.

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