happiness vs emotional state

happiness and emotional state both are nouns.

Word	Noun	Adjective	Verb	Adverb
happiness	Yes	No	No	No
emotional state	Yes	No	No	No

As nouns, emotional state is a hypernym of happiness; that is, emotional state is a word with a broader meaning than happiness:

happiness: state of well-being characterized by emotions ranging from contentment to intense joy
emotional state: the state of a person's emotions (especially with regard to pleasure or dejection)

Other hypernyms of happiness include spirit.

happiness (noun)	emotional state (noun)
emotions experienced when in a state of well-being	the state of a person's emotions (especially with regard to pleasure or dejection)
state of well-being characterized by emotions ranging from contentment to intense joy