Drive object disappearance from intersecting plane

Want to make an object disappear when he is intersected from a transparent plane. I need to next connect the plane position to a particle system to make particles emitted at the intersection.

Tried to use a Box mask but didn’t find a way to connect the mask position with particles.

Using an actual plane I suppose I need to drive the first object transparency from the second object (the plane) position.

I know using DistanceToNearestObject I can highlight the object intersection but I think this will not help me in achieving the result.

I didn’t understand why to pass plane position to object material to drive transparency.