Diospyros kaki vs persimmon

Diospyros kaki and persimmon both are nouns.

Word	Noun	Adjective	Verb	Adverb
Diospyros kaki	Yes	No	No	No
persimmon	Yes	No	No	No

As nouns, persimmon is a hypernym of Diospyros kaki; that is, persimmon is a word with a broader meaning than Diospyros kaki:

Diospyros kaki: small deciduous Asiatic tree bearing large red or orange edible astringent fruit
persimmon: any of several tropical trees of the genus Diospyros

Other hypernyms of Diospyros kaki include persimmon tree.

Diospyros kaki (noun)	persimmon (noun)
small deciduous Asiatic tree bearing large red or orange edible astringent fruit	orange fruit resembling a plum; edible when fully ripe
	any of several tropical trees of the genus Diospyros