paper birch vs American white birch

paper birch and American white birch both are nouns.

Word	Noun	Adjective	Verb	Adverb
paper birch	Yes	No	No	No
American white birch	Yes	No	No	No

As nouns, paper birch and American white birch are synonyms defined as:

paper birch and American white birch: small American birch with peeling white bark often worked into e.g. baskets or toy canoes

Other synonyms of paper birch include Betula cordifolia, Betula papyrifera, canoe birch, paperbark birch.

paper birch (noun)	American white birch (noun)
small American birch with peeling white bark often worked into e.g. baskets or toy canoes	small American birch with peeling white bark often worked into e.g. baskets or toy canoes