The TESLA project is a 500 GeV e(-)/e(+) collider composed of two 10 k
m long superconducting linear accelerators. The cavities are cooled be
low 2 K by superfluid helium. We propose a double-bath cooling scheme
similar to the LHC one. The cavities would be in a static superfluid h
elium bath maintained at 50 mbar. This bath is in turn cooled by a two
phase superfluid flow at approximately 2 K. We present here a compari
son of this new cooling scheme with the current one.