English

Effect of Siegert's Theorem on Low-Energy Neutrino-Nucleus Interactions

Nuclear Theory 2018-12-26 v1 High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment

Abstract

We examine the importance of conserving the vector current in calculating low-energy neutrino-nucleus interactions by implicitly invoking Siegert's Theorem in describing the vector transverse electric current. We find that at low neutrino energies (E? <50 MeV), Siegert's Theorem can change neutrino cross sections for normal-parity non-spin-flip excitations by about a factor of two.The same is true of muon capture rates. At higher neutrino energies the effect of Siegert's Theorem diminishes, and by about 100 MeV the effect is very small.

Keywords

Cite

@article{arxiv.1811.08533,
  title  = {Effect of Siegert's Theorem on Low-Energy Neutrino-Nucleus Interactions},
  author = {A. C. Hayes and J. L. Friar},
  journal= {arXiv preprint arXiv:1811.08533},
  year   = {2018}
}