Proton polarizability contribution to hydrogen hyperfine splitting

Two-photon exchange contributions to elastic electron-scattering are reviewed. The apparent discrepancy in the extraction of elastic nucleon form factors between unpolarized Rosenbluth and polarization transfer experiments is discussed, as well as the understanding of this puzzle in terms of two-photon exchange corrections. Calculations of such corrections both within partonic and hadronic frameworks are reviewed. In view of recent spin-dependent electron scattering data, the relation of the two-photon exchange process to the hyperfine splitting in hydrogen is critically examined. The imaginary part of the two-photon exchange amplitude as can be accessed from the beam normal spin asymmetry in elastic electron-nucleon scattering is reviewed. Further extensions and open issues in this field are outlined.

show abstract

“…Integrating what can be integrated, and neglecting m e inside the integral, yields the expression [75,76,77,78,79,80] …”

Section: Hyperfine Splitting Calculationsmentioning

confidence: 99%

“…But no sufficient spin-dependent data existed, so it was several decades before the formula could be evaluated to a result incompatible with zero. In 2002, Faustov and Martynenko became the first to use g 1,2 data to obtain results inconsistent with zero [79]. They got…”

Section: Numerics Especially For ∆ Polmentioning

confidence: 99%

Two-Photon Physics in Hadronic Processes

Carlson

Vanderhaeghen

2007

Annu. Rev. Nucl. Part. Sci.

161

173

View full text Add to dashboard Cite

show abstract

“…The proton polarizability correction δ pol and the hadron vacuum polarization correction have been evaluated recently [9,15], using the available data on the proton polarized structure functions and on electron-positron annihilation into hadrons.…”

Section: Hyperfine Splitting Of Hydrogen Atom Ground Statementioning

confidence: 99%

Proton Zemach radius from measurements of the hyperfine splitting of hydrogen and muonic hydrogen

et al. 2003

View full text Add to dashboard Cite

While measurements of the hyperfine structure of hydrogen-like atoms are traditionally regarded as test of bound-state QED, we assume that theoretical QED predictions are accurate and discuss the information about the electromagnetic structure of protons that could be extracted from the experimental values of the ground state hyperfine splitting in hydrogen and muonic hydrogen.Using recent theoretical results on the proton polarizability effects and the experimental hydrogen hyperfine splitting we obtain for the Zemach radius of the proton the value 1.040(16) fm. We compare it to the various theoretical estimates the uncertainty of which is shown to be larger that 0.016 fm. This point of view gives quite convincing arguments in support of projects to measure the hyperfine splitting of muonic hydrogen.

show abstract

“…1 is not a lone proton, we obtain inelastic contributions or polarizability contributions [12,13,14,15,16,17].The inelastic contributions are not calculable ab initio. Instead, one relates them to the amplitude for forward Compton scattering of off-shell photons off protons, given in terms of the matrix element…”

Section: Hyperfine Splitting Calculationsmentioning

confidence: 96%

Section: Hyperfine Splitting Calculationsmentioning

confidence: 99%

New evaluation of proton structure corrections to hydrogen hyperfine splitting

Carlson

2007

Can. J. Phys.

View full text Add to dashboard Cite

Abstract:We consider the proton structure corrections to hydrogen ground-state hyperfine structure, focusing on a state-of-the-art evaluation of the inelastic nucleon corrections-the polarizability corrections-using analytic fits to the most recent data. We find a value for the fractional correction ∆ pol of 1.3 ± 0.3 ppm. This is 1-2 ppm smaller than the value of ∆ pol one would deduce using hyperfine splitting data and elastic proton structure corrections obtained from modern form factor fits. In addition, we discuss the derivations of the relevant formulas, paying attention to lepton mass effects and to questions surrounding the use of unsubtracted dispersion relations.

show abstract

Proton polarizability contribution to hydrogen hyperfine splitting

Abstract: The contribution of the proton polarizability to the hydrogen hyperfine splitting is evaluated on the basis of modern experimental and theoretical results on the proton polarized structure functions. The value of this correction is equal to 1.4 ppm.

Cited by 42 publications

References 22 publications

Two-Photon Physics in Hadronic Processes

Two-Photon Physics in Hadronic Processes

Proton Zemach radius from measurements of the hyperfine splitting of hydrogen and muonic hydrogen

New evaluation of proton structure corrections to hydrogen hyperfine splitting

Contact Info

Product

Resources

About