[alpha][sup 2]([ital Z][alpha])[sup 5][ital m] contribution to the hydrogen Lamb shift from virtual light-by-light scattering

Journal Article · Fri Jul 01 04:00:00 EDT 1994 · Physical Review A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.50.144· OSTI ID:7041927

Eides, M I ^[1]; Grotch, H ^[2]; Pebler, P ^[3]

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1. Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188350 (Russian Federation)
2. Department of Physics, Pennsylvania State University, University Park, Pennsylvania 16802 (United States)
3. Department of Physics, Yale University, New Haven, Connecticut 06520 (United States)

The radiative correction to the Lamb shift of order [alpha][sup 2]([ital Z][alpha])[sup 5][ital m] induced by the light-by-light scattering insertion in external photons is obtained. This contribution turns out to be equal to [minus]0.122(2)[alpha][sup 2][([ital Z][alpha])[sup 5]/([pi][ital n][sup 3])]([ital m][sub [ital r]]/[ital m])[sup 3][ital m]. Combining this contribution with our previous results we obtain the complete correction of order [alpha][sup 2]([ital Z][alpha])[sup 5][ital m] induced by all diagrams with closed electron loops. This correction is 37.3(1) kHz and 4.67(1) kHz for the 1[ital S] and 2[ital S] states in hydrogen, respectively.

• OSTI ID: 7041927
• Journal Information: Physical Review A; (United States), Journal Name: Physical Review A; (United States) Vol. 50:1; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

664100* -- Theory of Electronic Structure of Atoms & Molecules-- (1992-)
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSONS
CORRECTIONS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY LEVELS
EXCITED STATES
GROUND STATES
HYDROGEN
ISOELECTRONIC ATOMS
LAMB SHIFT
LIGHT SCATTERING
MASSLESS PARTICLES
NONMETALS
PHOTONS
RADIATIVE CORRECTIONS
SCATTERING
SPECTRAL SHIFT
VIRTUAL PARTICLES