detachment vs disengagement

detachment and disengagement both are nouns.

Word	Noun	Adjective	Verb	Adverb
detachment	Yes	No	No	No
disengagement	Yes	No	No	No

As nouns, detachment and disengagement are synonyms defined as:

detachment and disengagement: the act of releasing from an attachment or connection

detachment (noun)	disengagement (noun)
the act of releasing from an attachment or connection	to break off a military action with an enemy
coming apart	the act of releasing from an attachment or connection
avoiding emotional involvement
a small unit of troops of special composition
the state of being isolated or detached