  The Porter-Thomas (PT) distribution of resonance widths is one of the oldest
and simplest applications of statistical ideas in nuclear physics. Previous
experimental data confirmed it quite well but recent and more careful
investigations show clear deviations from this distribution. To explain these
discrepancies the authors of [PRL \textbf{115}, 052501 (2015)] argued that to
get a realistic model of nuclear resonances is not enough to consider one of
the standard random matrix ensembles which leads immediately to the PT
distribution but it is necessary to add a rank-one interaction which couples
resonances to decay channels. The purpose of the paper is to solve this model
analytically and to find explicitly the modifications of the PT distribution
due to such interaction. Resulting formulae are simple, in a good agreement
with numerics, and could explain experimental results.
