Does radioactive decay exhibit stimulated emission?

[neanderthalphysics]

TL;DR Summary

Electron energy levels exhibit stimulated emission. Why not nuclear energy levels?

If you have a lump of the same species of radioactive isotopes, why can't the photons emitted from the radioactive decay of one nucleus cause spontaneous emission from other atoms?
I presume it doesn't, because if it did, there would be a geometric effect of radioactive decay, which is not observed.

 

[trurle]

Stimulated gamma emission in nuclear decay do exist but is extremely exotic due small absorbtion cross-sections. Considered most promising Ta-180m was demonstrated to have stimulated gamma emission in laboratory, but the gain is just 0.03 of necessary to make a gamma-laser.

 

[raining Pete]

This is because the photons emitted from radioactive decay are not strong enough to cause spontaneous emission in nearby atoms. Spontaneous emission occurs when an electron in an excited state emits a photon and returns to its ground state. In order for this to happen, the energy of the photon must be equal to the energy difference between the two states. The photons emitted from radioactive decay have a specific energy determined by the isotope's half-life, and it is not always the same as the energy difference between excited and ground states of other atoms. Therefore, the photons emitted from radioactive decay do not have enough energy to cause spontaneous emission in nearby atoms. Additionally, the probability of a photon causing spontaneous emission is very low, so even if the energy was sufficient, it is unlikely to occur.