disbelief vs doubt

disbelief and doubt both are nouns.

Word	Noun	Adjective	Verb	Adverb
disbelief	Yes	No	No	No
doubt	Yes	No	Yes	No

As nouns, doubt is a hypernym of disbelief; that is, doubt is a word with a broader meaning than disbelief:

Other hypernyms of disbelief include doubtfulness, dubiety, dubiousness, incertitude, uncertainty.

disbelief (noun)	doubt (noun)
doubt about the truth of something	uncertainty about the truth or factuality or existence of something
a rejection of belief	the state of being unsure of something

disbelief (verb)	doubt (verb)
	consider unlikely
	lack confidence in