purple ground cherry vs Physalis peruviana

purple ground cherry and Physalis peruviana both are nouns.

Word	Noun	Adjective	Verb	Adverb
purple ground cherry	Yes	No	No	No
Physalis peruviana	Yes	No	No	No

As nouns, purple ground cherry and Physalis peruviana are synonyms defined as:

purple ground cherry and Physalis peruviana: annual of tropical South America having edible purple fruits

Other synonyms of purple ground cherry include cape gooseberry.

purple ground cherry (noun)	Physalis peruviana (noun)
annual of tropical South America having edible purple fruits	annual of tropical South America having edible purple fruits
Mexican annual naturalized in eastern North America having yellow to purple edible fruit resembling small tomatoes