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Measurement of Neutron Lifetime and Purcell Effect
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Purcell effect predicts that spontaneous radiation is not an intrinsic property of matter, but is affected by the environment in which it is located, and is the result of the interaction of matter and field. Purcell effect can be inferred from Fermi Gold rule through strict quantum electrodynamics (QED), and through it can achieve the enhancement or suppression of radiation. We suggest that, in principle, the Purcell effect can be detected at the percentage level of neutron decay in experiments with trapped ultra-cold neutrons. As a test of our claim, we propose a currently achievable experimental protocol that can detect whether Purcell effect has occurred in an trapped ultra-cold neutron lifetime measurement experiment. Finally, we discuss the discrepancy in current methods of measuring neutron lifetime, which may be caused by different experimental setups.
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Particles in finite volumes and a toy model of decaying neutrons
A toy scalar model of neutron decay suggests finite-volume effects and initial neutron-daughter correlations can shift the predicted neutron lifetime to about 887 seconds, but the agreement is obtained by tuning a parameter.
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