I read sometime if you remove the Barrel Battery, the Amiga not work, but i m not sure if that are true
It is not true, only the A3000 suffers from having no battery but it still works, you just need to use some software to set BATMEM settings from hard drive. (Assuming you're unhappy with the defaults)
My A4000 never worked again after desoldering the battery. I had to get a new motherboard on eBay.
What on earth did you do to the poor thing?
Was the death as a result of a lack of skills desoldering the battery OR the amount of damage that had been done before it was attempted? It certainly wasn't the removing the battery. Hundreds of A4000D owners have removed and not replaced their battery.