you know that wolverine regenerates from the flesh part of him, so after a spirit bomb or Kamahamaha(spelt something like that) destroyed all of his flesh, if anything was left of him it would only be the adamantium, and thus he could not regenerate.
Also you cannot cut an energy attack, so if goku was to attack him, wolverine would have 2 choices.
1. Die loudy
or
2. Die quitely