How to let particle settle in place?

Here is a situation I cannot solve in Blender :confused:

I have a particle emitter, that emits one particle.
there is a cube object that has a force on it with the strength of -50 to suck particle near it
the cube is animated but stops moving at a certain time
the partrricle is getting sucked/pulled by the cube to its origin but it just keeps bouncing eround without settling in place at some point

How can I let the particle settle after a few bounces?

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