  We present James Webb Space Telescope observations of the globular cluster
NGC 6397 and use them to extend to infrared wavelengths the characterization of
the cluster's entire white dwarf (WD) cooling sequence (CS). The data allows us
to probe fundamental astrophysical WD properties and to search for evidence in
their colors for (or against) the existence of ancient planetary systems. The
existing archival Hubble Space Telescope imaging data obtained ~18 years ago
reach ultra-deep optical magnitudes (V~31) and allow us to derive a
near-perfect separation between field and cluster members. We detect an
apparent split in the lower part of the WD CS of NGC 6397. The red part of the
WD CS, containing about 25% of the total, exhibits significant IR-excess of up
to Delta m_F322W2 ~ 0.5 mag. These infrared excesses require both theoretical
and observational follow-ups to confirm their veracity and to ascertain their
true nature.
