Pinned down
Encyclopedia
"Pinned down" is a common military term for a unit that is currently being suppressed
Suppressive fire
In military science, suppressive fire is a fire that degrades the performance of a target below the level needed to fulfill its mission. Suppression is usually only effective for the duration of the fire. Suppressive fire is not always a direct form of fire towards targets; it can be an effective...

 by enemy fire. A suppressed unit has lost its ability to move, lost all or most of its ability to return fire, and lost much of its ability to gather real-time intelligence on the enemy position, as it is concerned with staying under cover.

Suppression is a key tactical goal utilized in most small unit tactics and will afford the attacking (or suppressing) unit with greater security of movement, intelligence, and tactical flexibility. Often, a suppressed unit will lose organizational efficiency and morale
Morale
Morale, also known as esprit de corps when discussing the morale of a group, is an intangible term used to describe the capacity of people to maintain belief in an institution or a goal, or even in oneself and others...

if kept in that state for an extended period of time.
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