The generalization of the unified theory of proton decay on the basis of methods of unified theory nucleus and the open Fermi‐systems theory has been done taking into account the reconstruction of the proton‐emitting nucleus frame in the proton decay process. The new integral formulae based on the methods of projection operators and orthogonal projecting for the proton partial width amplitudes have been constructed. These formulae have been used for the analysis of proton widths for case of even‐odd spherical proton‐emitting nuclei. It has been shown that the deviations of correct proton widths taking into account the differences between shell‐model proton energies and proton separation energies from proton widths calculated on the basis of well‐depth procedure are small. © 2003 American Institute of Physics