Neutrino masses from the GSI anomaly - Nuclear TheoryReport as inadecuate

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Abstract: We investigate the influence of the strong Coulomb field of a heavy nucleuson massive neutrinos, produced in the K-shell electron capture EC decays ofthe H-like 140Pr58+ and 142Pm60+ ions. The corrections to the neutrino massesdue to virtually produced charged lepton W-boson pairs in the strong Coulombfield of a nucleus with charge Ze are calculated and discussed with respect totheir influence on the period of the time-modulation of the number of daughterions, observed recently in the EC-decays of the H-like 140Pr58+ and 142Pm60+ions at GSI in Darmstadt. These corrections explain the 2.9 times higherdifference of the squared neutrino masses obtained from the time-modulation ofthe EC-decays with respect to the value deduced from theantineutrino-oscillation experiments of KamLAND.

Author: A. N. Ivanov, E. L. Kryshen, M. Pitschmann, P. Kienle


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