Spectrum of secondary electrons emitted during the nuclear $\beta^{-}$-decay of the tritium atom

TL;DR

This paper derives the velocity spectrum of secondary electrons emitted during tritium's nuclear beta decay, providing a method to determine probabilities of various final states in few-electron atoms.

Contribution

It introduces an explicit formula for the secondary electron velocity spectrum during tritium beta decay, enabling detailed analysis of final state formation probabilities.

Findings

Derived explicit form of secondary electron velocity spectrum

Method to determine probabilities of final states in few-electron atoms

Analyzed ionization during tritium beta decay

Abstract

Ionization of the final ${}^{3}$He$^{+}$ ion during the nuclear $\beta^{-}$-decay of the tritium atom is discussed. The velocity spectrum of the emitted secondary electrons is derived in the explicit form. Our method allows to determine the relative and absolute probabilities of formation of the final states in few-electron atoms which include `free' secondary electrons moving with different velocities. \noindent PACS number(s): 23.40.-s, 12.20.Ds and 14.60.Cd