Charge-dependent radiative corrections to the Fermi matrix element for pure Fermi beta-decays - INSPIRE

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Charge-dependent radiative corrections to the Fermi matrix element for pure Fermi beta-decays

W. Jaus
(
- Zurich U.
)

1971

14 pages

Published in:

Nucl.Phys.A 162 (1971) 97-110

Published: 1971

DOI:

10.1016/0375-9474(71)90488-X

View in:

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Abstract:

The charge-dependent radiative corrections of order Z2α2 to the Fermi matrix element for pure Fermi β-decays is calculated neglecting the effect of excited nuclear states. The calculation treats the nucleus as an elementary particle and makes use partly of the technique of dispersion relations and partly of perturbation theory. The charge-dependent corrections are free from ultraviolet divergences and the electromagnetic form factor reduces the relevant dispersion and perturbation integrals to their low-energy limit. This fact enables the application of a low-energy theorem to determine the structure-dependent terms and an approximation method to estimate the two-photon contribution. The result is a correction to the Fermi matrix element of a few hundredths of a percent which is entirely negligible.

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