Well, again, their sheild adapting technology very specifically works on phaser and torpedo warheads, but haven’t shown any adaptability to other weapons, and the entry on Memory Alpha entry seems to make this explicit. That doesn’t mean that they don’t stop other weapons, just that they only work like normal shields against other weapons. So, 23rd century warbirds probably wouldn’t be very effective against the Borg, since they’re old, outdated, and probably underpowered tech, but a Galaxy Class Starship with plasma weapons as powerful as normal phasers would probably do well.
So, if the sheilds don’t nullify the Death Star’s weapons, this match up would basically be the same as any large Star Trek ship vs. the Death Star. And since the Death Star is so massive, pretty much any ship is gonna get wrecked. I’m sure the Borg would do fine against a Star Wars ship of roughly comparable size, but the Death Star is almost 100 times larger.
Not sure where you got in memory alpha that they can only adapt to phasers, this is what memory alpha has to say.
The Borg were usually exceedingly quick to adapt; their shields would often nullify nearly any energy weapon, and their weapons could usually penetrate nearly any shield or defense, within minutes
Dude, it was literally the first thing I linked to, and I even quoted the most relevant portions of the entry.
Is that memory beta or something? It’s only reference is the destiny novels.