On transition of non-stationary waves

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, $P=\text{T}{\Gamma }_0+P^{(d)}$. ${\Gamma }_0$ is computed with Fermi's golden rule, and does not depend on the nuclear wave functions. $P^{(d)}$ is not given by Fermi's golden rule, and depends on the nuclear wave functions. In the electron mode of pion decays, ${\Gamma }_0$ is proportional to $m_e^2$ but $P^{(d)}$ for the event that the neutrino is detected is proportional to $m_{\nu }^{-2}$. $P^{(d)}$ does not hold the helicity suppression satisfied in ${\Gamma }_0$ and is inevitable in non-stationary quantum phenomena.

arXiv comment8 pages, no figures