Transition Probability for the Neutrino Wave in Muon Decay and Oscillation Experiments

TL;DR

This paper introduces a modified neutrino transition probability accounting for wave overlap effects, reconciling short- and long-baseline experiments and enabling neutrino mass measurement.

Contribution

It presents a new correction term in neutrino transition probability derived from quantum mechanics, addressing anomalies in muon decay and neutrino oscillation experiments.

Findings

Reconciles discrepancies among LSND, KARMEN, MiniBooNE, and other experiments.

Provides a method to measure absolute neutrino mass.

Shows the impact of wave overlap on neutrino transition probabilities.

Abstract

This paper elucidates the anomalous decay of the muon ascribed to extended waves. Due to a large overlap of the parent and daughters, the transition amplitude and probability for the neutrinos are modified from the standard formula. A rigorous probability from the von Neumann's fundamental principle of the quantum mechanics at a large time interval $T$ is, $P=T\Gamma + P^{(d)}$, where $\Gamma$ is derived from the Fermi's golden rule, and $P^{(d)}$ is a correction term. A new term $P^{(d)}$ has origins in the overlapping waves, and influences the determinations of physical parameters. By including $P^{(d)}$, short-baseline neutrino experiments with LSND, KARMEN, and MiniBooNE become consistent each other and with the solar, long-baseline, and reactor experiments within the three neutrinos. Byproduct is that the absolute neutrino mass of the neutrinos can be measured.