  In the extended NJL model the radiative decay widths of the radially excited
states of the pseudoscalar $\pi$, $\eta$, and $\eta'$ mesons are calculated.
The predictions for the decay widths of the processes
$\pi(1300)\longrightarrow(\rho^0,\omega)\gamma$,
$\eta(1295)\longrightarrow(\rho^0,\omega,\phi)\gamma$, and
$\eta(1475)\longrightarrow(\rho^0,\omega,\phi)\gamma$ are given. Nowadays,
there are no solid experimental data for these processes. The comparison of the
results obtained in the framework of the standard and the extended NJL models
for decays of the ground states of mesons is given. It is shown that these
calculations correspond to each other and are also in satisfactory agreement
with experimental data. This allows one to expect that the extended NJL can
give reliable predictions for the excited states of mesons.
