Longitudinal vector form factors in weak decays of nuclei

TL;DR

This paper calculates the longitudinal vector form factors in weak decays of spin-1/2, isospin-1/2 particles, linking them to mass differences and charge radii, and suggests experimental measurements involving high momentum transfer reactions.

Contribution

It provides a theoretical determination of longitudinal form factors based on mass differences and charge radii, with numerical estimates for nucleons and nuclear doublets.

Findings

Form factors depend on mass difference and charge radii.

Numerical estimates provided for nucleons and nuclear doublets.

Reactions with large momentum transfer are promising for measurements.

Abstract

The longitudinal form factors of the weak vector current of particles with spin $ J = 1/2 $ and isospin $ I = 1/2 $ are determined by the mass difference and the charge radii of members of the isotopic doublets. The most promising reactions to measure these form factors are the reactions with large momentum transfers involving the spin-1/2 isotopic doublets with a maximum mass splitting. Numerical estimates of longitudinal form factors are given for nucleons and eight nuclear spin-1/2 isotopic doublets.