  We present the discovery of a 70 kpc X-ray tail behind the small late-type
galaxy ESO137-001 in the nearby, hot (T=6.5 keV) merging cluster A3627, from
both Chandra and XMM observations. The tail has a length-to-width ratio of ~
10. It is luminous (L_{0.5-2 keV} ~ 10^41 ergs s^-1, with a temperature of ~
0.7 keV and an X-ray M_gas of ~ 10^9 M_solar (~ 10% of the galaxy's stellar
mass). We interpret this tail as the stripped interstellar medium of ESO137-001
mixed with the hot cluster medium, when this blue galaxy is being converted
into a gas-poor galaxy. Three X-ray point sources are detected in the axis of
the tail, which may imply active star formation in the tail. The straightness
and narrowness of the tail also implies that the ICM turbulence is not strong
on scales of 20 - 70 kpc.
