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Spinnor
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Say we can create a high energy particle beam of radioactive alpha emitting nuclei (all the same kind). Let the particle beam have an energy such that if an alpha particle is emitted in the direction opposite to the beam direction the alpha particle will appear in the lab frame to be almost at rest. Now have this high energy particle beam be directed at a meter cubed volume of liquid helium-4 which is so cold that nearly all of the helium is in the ground state. Does the liquid helium-4 in this situation stimulate the alpha emitting nuclei to emit an alpha particle as they pass through the liquid helium even if only a small amount? Reading Feynman's lectures on bose particles (https://www.feynmanlectures.caltech.edu/III_04.html) I might naively think there would be a factor of N enhancement of alpha emission (in the direction opposite the beam direction) while the nuclei passed through the liquid helium where N is the number of helium-4 atoms in the Bose-Einstein condensate, which for a meter cubed volume of liquid helium-4 is a large number, but I'm not sure that is correct for this situation. I know Quantum Mechanics always gets it right as long as you analyse the problem properly.
Thanks for any help.
Thanks for any help.