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On transition of non-stationary waves

High Energy Physics - Phenomenology 2013-11-28 v1 High Energy Physics - Theory Quantum Physics

Abstract

The probability of the events that the final states are detected with or interact with the nucleus in a finite time interval T was found to be, P=TΓ0+P(d)P=\text T \Gamma_0 +P^{(d)}. Γ0\Gamma_0 is computed with Fermi's golden rule, and does not depend on the nuclear wave functions. P(d)P^{(d)} is not given by Fermi's golden rule, and depends on the nuclear wave functions. In the electron mode of pion decays, Γ0\Gamma_0 is proportional to me2m_e^2 but P(d)P^{(d)} for the event that the neutrino is detected is proportional to mν2m_{\nu}^{-2}. P(d)P^{(d)} does not hold the helicity suppression satisfied in Γ0\Gamma_0 and is inevitable in non-stationary quantum phenomena.

Keywords

Cite

@article{arxiv.1311.6917,
  title  = {On transition of non-stationary waves},
  author = {Kenzo Ishikawa and Yutaka Tobita},
  journal= {arXiv preprint arXiv:1311.6917},
  year   = {2013}
}

Comments

8 pages, no figures