Assault is the intentional tort that permits a plaintiff to recover damages if another puts him in imminent fear of harmful of offensive contact battery.
Restatement Sec. 21
(1) An actor is subject to liability to another for assault if
(a) he acts intending to cause a harmful or offensive contact with the person of the other or a third person, or an imminent apprehension of such contact, and
(b) the other is thereby put in such imminent apprehension.
((2) An action that is not done with the intention stated in Subsection (1, a) does not make the actor liable to the other for the apprehension caused thereby although the act involves an unreasonable risk of causing it and, therefore, would be negligent or reckless if the risk threatened bodily harm.