All the voltages of the power supply were right inside the spec intervall.
A rubber pad had decomposed, and this is something I already saw on another
HP 54601A that I fixed not so long ago.
I look for the bad caps which were supposed to be C608 and C609.
I desoldered both. C609 (1000 uF) was OK : 876 uF , 0.68 ohm ESR.
While C608 (10uF , 16V) was damaged (not even readable on the ESR meter).
See the picture.
I inspected the other caps, but they looked OK, so I left them on place.
Of course, I could have changed everything, but the other caps were 100V , and
I suspect that C608 was too low voltage for its task. I replaced it with a 100V, 10 uF cap.
C608 and C609 are the two caps that are under the date on the attached picture.
After that, and a little bit of calibration, everything is working fine, like magic
(sorry for the fuzzy pic).
I spend more time then changing the fan, as the original one made a terrible sound,
but I had to adapt the new fan to fit in place.
Thanks again KJDS