Erratum: Generation and monitoring of directed neutrino beams using electron-capture β-decay sources (Physical Review C (2012) 86 (034615) DOI: 10.1103/PhysRevC.86.034615)

In the article, the authors pointed out an opportunity to generate directed monoenergetic neutrino beams using electron-capture decay if atomic nuclei, polarized by a strong hyperfine field, decay with decreasing nuclear spin by one unit. It was suggested to observe this effect by attaching a radioactive sample to a cantilever tip and measuring the recoil force with atomic force microscopy. The recoil force was estimated assuming that the neutrino can propagate only along the axis of polarization. In this Erratum, we would like to clarify that the generated neutrino beam does not have a unique direction of propagation but rather has the preferred direction of propagation: The probability of neutrino emission is minimum in the direction of nuclear polarization and maximum in the opposite direction. Also, we present a more accurate expression for the recoil force. We assume that nuclei are completely or partially polarized in the positive z direction. Then the net recoil force F on the radioactive sample is associated with the rate ? P z of the generation of the neutrino momentum, (Formula Presented). The authors gratefully acknowledge the assistance of R. Basak.