sentiment vs feeling

sentiment and feeling both are nouns.

Word	Noun	Adjective	Verb	Adverb
sentiment	Yes	No	No	No
feeling	Yes	No	No	No

As nouns, feeling is a hypernym of sentiment; that is, feeling is a word with a broader meaning than sentiment:

sentiment (noun)	feeling (noun)
a personal belief or judgment that is not founded on proof or certainty	the experiencing of affective and emotional states
tender, romantic, or nostalgic feeling or emotion	an intuitive understanding of something
	a physical sensation that you experience
	the sensation produced by pressure receptors in the skin
	a vague idea in which some confidence is placed
	the general atmosphere of a place or situation and the effect that it has on people