Quantum Anti-Zeno Effect in Nuclear $\beta$ Decay
Ming Ji and Chang Xu*
School of Physics, Nanjing University, Nanjing 210093, China
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.
收稿日期: 2020-10-14
出版日期: 2021-03-02
:
23.20.Ck
23.40.-s
(β-decay;double β-decay; electron and muon capture)
23.40.Bw
(Weak-interaction and lepton (including neutrino) aspects)
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2021, Vol. 38 
