If you equip a Longbow of Accuracy, then right click on the weapon's name in the Weapons list (bottom, not the item icon) of said wielder, the listed stats are:
Quote:
Longbow of Accuracy
Damage:14
(strength of wielder not added)
Range: 45
Precision:30
Ammunition: 12
This weapon is considered magic
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So to answer your question, Longbow of Accuracy is considered magical. You can check other bows to varify this if you want (I don't have a savegame handy where I can check the other types without actually forging them) Perhaps someone with such items handy on their commanders or treasury can check for you.
-Gateway103