| NUCLEAR PHYSICS |
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Quantum Anti-Zeno Effect in Nuclear $\beta$ Decay |
| Ming Ji and Chang Xu* |
| School of Physics, Nanjing University, Nanjing 210093, China |
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| Cite this article: |
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Ming Ji and Chang Xu 2021 Chin. Phys. Lett. 38 032301 |
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Abstract The acceleration of decay induced by frequency measurements, namely the quantum anti-Zeno effect (AZE), was first predicted by Kofman and Kurizki [Nature 405 (2000) 546 ]. The effect of the frequency measurements on nuclear $\beta$ decay rate is analyzed based on the time-dependent perturbation theory. We present a detailed calculation of the decay rates of $^{3}$H, $^{60}$Co ($\beta^{-}$ type), $^{22}$Na, $^{106}$Ag ($\beta^{+}$ type) and $^{18}$F, $^{57}$Co and $^{111}$Sn (EC type) under frequency measurements. It is found that the effects of frequency measurements on the decay rates of $\beta^{+}$ and $\beta^{-}$ cases are different from the case of EC, and the smaller the $\beta$ decay energy is, the more favorable it is to observe the AZE in experiment. Based on our analysis, it is suggested that possible experimental candidates should have a small decay energy and a reasonable half life (such as $^{3}$H) for observing the AZE in $\beta$ decay.
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Received: 14 October 2020
Published: 02 March 2021
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| PACS: |
23.20.Ck
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23.40.-s
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(β-decay;double β-decay; electron and muon capture)
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23.40.Bw
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(Weak-interaction and lepton (including neutrino) aspects)
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| Fund: Supported by the National Natural Science Foundation of China (Grant Nos. 11822503 and 11575082), and the Fundamental Research Funds for the Central Universities (Nanjing University). |
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