Gamma decay and its energy level

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Gamma decay involves the emission of electromagnetic waves, specifically gamma rays, which can be described in terms of energy levels similar to atomic transitions. Nuclei can exist in excited states and transition to lower energy states, emitting a photon in the process. These excited states typically have very short lifetimes, around 10^-12 seconds, and are often produced following other types of decay, such as beta decay. The analogy to atomic emissions highlights the quantized nature of energy levels in both atoms and nuclei. Understanding gamma decay in this context clarifies the relationship between nuclear transitions and photon emissions.
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Gamma decays are e.m.waves ..then how describe gamma decay in terms of energy levels?
 
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Gamma rays (not decays) are e.m.waves (or rather single photons).

If you think about nuclear gamma decays - you may think about them as an analogue of light emitted by atom. Atom has quantised energy levels and may jump from one to another emitting a photon. The same for nuclei: they may exist in excited state and transition to the state of lower energy is accompanied by emission of the photon.

Excited states of nuclei usually have very short life time (order of 10-12s) and are created in effect of previous decay of other kind (usually beta).
 
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