The rate for the photon emission accompanying orbital 1S electron capture by the atomic nucleus is recalculated. While a photon can be emitted by the electron or by the nucleus, the use of the length gauge significantly suppresses the nuclear contribution. Our calculations resolve the long standing discrepancy of theoretical predictions with experimental data for ΔJ=2 forbidden transitions. We illustrate the results by comparison with the data established experimentally for the first forbidden unique decays of 41Ca and 204Tl.
K. Pachucki et al., "Radiative Orbital Electron Capture by the Atomic Nucleus," Physical Review C - Nuclear Physics, vol. 75, no. 5, pp. 055502-1-055502-8, American Physical Society (APS), May 2007.
The definitive version is available at https://doi.org/10.1103/PhysRevC.75.055502
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