Remark on Structure of Expectation Values of Flavor-Lepton Numbers with respect to Neutrino-Source Hadron States: Deviation from Fermi's Golden Relatio

TL;DR

This paper examines how deviations from Fermi's golden rule affect the expectation values of flavor-neutrino numbers in weak decays of hadrons, providing insights into neutrino oscillation phenomena.

Contribution

It analyzes the impact of deviations from Fermi's golden relation on neutrino flavor expectation values in pion and kaon decays, extending previous unified decay and oscillation descriptions.

Findings

Deviations cause measurable differences in neutrino flavor expectation values.

Concrete features of these deviations are characterized for $$ and $K^+$ decays.

Results are obtained under simplified momentum conditions.

Abstract

In our preceeding reports, we have pointed out that a unified description of weak decays accompanying neutrinos and the oscillation process is obtained on the basis of the expectation values of flavor-neutrino numbers with respect to the neutrino-source hadron state. In the present report, we investigate the effect on the expectation values due to the deviation from Fermi's golden relation, and give concrete features of these deviations in the case of $\pi^+$ and $K^+$-decays under the simple situation with the $3$-momentum $\vec{p_A}=0$ for $A=\pi^+$, $K^+$. %numerical results under simple situations.