Probably a TPS563200
http://www.ti.com/lit/ds/symlink/tps563200.pdf
Now that the electronics parts Mafia
* has delivered the spare parts in Germany, I can confirm that the unknown component "320" is the said TPS563200.
The actually defective left in the photo at position U55 (next to L38) supplies + 5V, the other with the name U53 (next to L37) supplies + 3.3V
However, the story is not over yet, the ZSA0 (U56) behind L38 gets + 5V in, but nothing comes out.
Now I have to make sure that this really damaged before I start the nightmare work for desoldering it.
* Digikey would have only asked EUR 1.06 per each but outrageous EUR 18.50 for shipping.
Develektro charges EUR 1,27 per each part, but also EUR 8.99 for a simple envelope shipment. Delivery however only took two days whis is okay.
I didn't want to go the cheap and dubious Chinese way, so I had no other coice.
Sounds liek I'll have to pay another shipping for the next damaged component. I'll keep you all updated how the story goes on.
Cheers,
Geronimo