Abandonment
late Middle English: from Old French abandoner, from a- (from Latin ad ‘to, at’) + bandon ‘control’ (related to ban1). The original sense was ‘bring under control’, later ‘give in to the control of, surrender to’ (abandon (sense 3 of the verb)).
wiktionary
From French abandonnement, from abandonner(“to abandon, relinquish”). abandonner was originally equivalent to mettre à bandon(“to leave to the jurisdiction, i.e. of another”), bandon being from Medieval Latin bandum, bannum(“order, decree, ban”). Equivalent to abandon + -ment. (See also English banns.)
etymonline
abandonment (n.)
1610s, "action of relinquishing to another," from French abandonnement (Old French abandonement), from abandonner "to give up" (see abandon (v.)). Meaning "a deserting, forsaking" (of one's family, principles, etc.) is by 1788; from 1839 as "condition of being forsaken." In law, the relinquishing of a title, privilege, or claim. In music, Italian abbandonatamente is the instruction to play so as to make the time subordinate to the feeling.