Forward virtual Compton scattering and the Lamb shift in chiral perturbation theory

Journal Article · Sat Mar 15 00:00:00 EDT 2008 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.77.035202· OSTI ID:21189862

Nevado, David ^[1]; Pineda, Antonio ^[2]

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1. Dept. d'Estructura i Constituents de la Materia and IFAE, U. Barcelona, Diagonal 647, E-08028 Barcelona (Spain)
2. Grup de Fisica Teorica and IFAE, Universitat Autonoma de Barcelona, E-08193 Bellaterra, Barcelona (Spain)

We compute the spin-independent structure functions of the forward virtual-photon Compton tensor of the proton at one loop using heavy baryon chiral perturbation theory and dispersion relations. We study the relation between both approaches. We use these results to generalize some sum rules to virtual photon transfer momentum and relate them with sum rules in deep inelastic scattering. We then compute the leading chiral term of the polarizability correction to the Lamb shift of hydrogen and muonic hydrogen. We obtain -87.05/n{sup 3}Hz and -0.148/n{sup 3}meV for the correction to the hydrogen and muonic hydrogen Lamb shift, respectively.

• OSTI ID: 21189862
• Journal Information: Physical Review. C, Nuclear Physics, Vol. 77, Issue 3; Other Information: DOI: 10.1103/PhysRevC.77.035202; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BARYONS
CHIRALITY
COMPTON EFFECT
CORRECTIONS
DEEP INELASTIC SCATTERING
DISPERSION RELATIONS
HYDROGEN
LAMB SHIFT
MOMENTUM TRANSFER
PERTURBATION THEORY
PHOTONS
POLARIZABILITY
PROTONS
SPIN
STRUCTURE FUNCTIONS
SUM RULES