  We study the influence of the Coulomb force on the Fermi beta-decays in
nuclei. This work is composed of two main parts. In the first part, we
calculate the Coulomb corrections to super-allowed beta decay. We use the
notion of the isovector monopole state and the self-consistent charge-exchange
Random Phase Approximation to compute the correction. In the second part of
this work, we examine the influence of the anti-analog state on isospin mixing
in the isobaric analog state and the correction to the beta-decay Fermi
transition.
