Are experimental scientists actually attempting to capture the exact moment in time that a particle...?

Question

sorry couldnt fit the whole question in so

Are experimental scientists actually attempting to capture the exact moment in time that a particle experiences 'death' (depletion of energy levels) and if so have they been successful or is the experiment ongoing?

Answer 1

Another view is that time is granular (there are quanta of time). The particle exists in one state and instantaneously changes to the new state in the next quanta of time.  We cannot see time in that fine a detail, so several quanta pass between observations.  So we can't see the exact 2 quanta where the change took place.

Take your choice of view

Answer 2

I assume that by 'depletion of energy levels' you mean the moment when a particle decays from a higher energy level to a lower one.  This is actually a very interesting question that goes to the heart of quantum mechanics.  Particles are inherently probabilistic, and there is actually no exact moment when a decay occurs.  Rather, the particle exists as a superposition of decayed and not-decayed states, and it becomes more decayed and less not-decayed as time goes on.  When you take a measurement of the system, it collapses into one of the two states, so you can't observe the particle as both decayed and not-decayed at the same time, but you also can't point to any one moment as being exactly when the decay happened.

On the off chance that by 'depletion of energy levels' you mean that the particle somehow 'uses up' all of its energy levels and vanishes, then it can't happen.