Some recoil corrections to the hydrogen hyperfine splitting

Journal Article · Fri Jan 15 00:00:00 EST 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.498· OSTI ID:5513397

Bodwin, G T; Yennie, D R

We compute all of the recoil corrections to the ground-state hyperfine splitting in hydrogen, with the exception of the proton polarizability, that are required to achieve an accuracy of 1 ppm. Our approach includes a unified treatment of the corrections that would arise from a pointlike Dirac proton and the corrections that are due to the proton's non-QED structure. Our principal new results are a calculation of the relative order-..cap alpha../sup 2/(m/sub e//m/sub p/) contributions that arise from the proton's anomalous magnetic moment and a systematic treatment of the relative order-..cap alpha..(m/sub e//m/sub p/) contributions that arise from form-factor corrections. In the former calculation we introduce some new technical improvements and are able to evaluate all of the expressions analytically. In the latter calculation, which has been the subject of previous investigations by other authors, we express the form-factor corrections in terms of two-dimensional integrals that are convenient for numerical evaluation and present numerical results for the commonly used dipole parametrization of the form factors. Because we use a parametrization of the form factors that differs slightly from the ones used in previous work, our numerical results are shifted from older ones by a small amount.

• Research Organization: High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439
• DOE Contract Number: W-31-109-ENG-38
• OSTI ID: 5513397
• Journal Information: Phys. Rev. D; (United States), Vol. 37:2
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
HYDROGEN
HYPERFINE STRUCTURE
PROTONS
MAGNETIC MOMENTS
FORM FACTORS
NUMERICAL ANALYSIS
POLARIZATION
QUANTUM ELECTRODYNAMICS
RADIATIVE CORRECTIONS
RECOILS
TWO-DIMENSIONAL CALCULATIONS
BARYONS
CORRECTIONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
ELEMENTS
FERMIONS
FIELD THEORIES
HADRONS
MATHEMATICS
NONMETALS
NUCLEONS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
640302* - Atomic
Molecular & Chemical Physics- Atomic & Molecular Properties & Theory
645400 - High Energy Physics- Field Theory