  We consider various possible identifications of the quantum numbers of the
resonance D(2637) recently observed by DELPHI in the $D^*\pi\pi$ channel. We
argue that in spite of a good agreement of the measured mass with the
quark-model prediction for the radial excitation, a total width as small as
$\le 15$ MeV is hardly compatible with its identification as a radial charm
excitation. The $J^{P}=2^{-}, 3^{-}$ orbitally excited mesons with such a mass
could have widths of the observed order of magnitude. However in this case one
would expect two neighbouring states with the mass difference of about 30-50
MeV corresponding to the nearly degenerate components of the heavy- meson
multiplet with light-quanta angular momentum j=5/2, and moreover, according to
the quark-model predictions the mass of the orbital excitation should be more
than 50 MeV larger than 2637 MeV. Thus we conclude that, at present, we find no
fully convincing understanding of the quantum numbers of the observed
resonance.
