High-resolution measurement of the time-modulated orbital electron capture and of the β+ decay of hydrogen-like 142Pm60+ ions

The true quantum face of the “exponential” decay: Unstable systems in rest and in motion

“…Results of numerical calculations are presented in Fig (5), where calculations were performed for µ 0 = 0, E 0 /Γ 0 ≡ m 0 /Γ 0 = 1000 and cp/Γ 0 ≡ p/Γ 0 = 1000. Values of these parameters correspond to γ = √ 2, which is very close to γ from the experiment performed by the GSI team [14,15] and this is why such values of them were chosen in our considerations. According to the literature for laboratory systems a typical value of the ratio m 0 /Γ 0 is m 0 /Γ 0 ≥ O(10 3 − 10 6 ) (see eg.…”

“…(1). In this context, each experimental evidence of oscillating decay curve at times of the order of life times is considered as an anomaly caused by a new quantum effects or new interactions: As an example of such a situation one can recall the result of the GSI experiment, where an oscillating decay rate of the ionized isotopes 140 Pr and 142 Pm moving with relativistic velocity (γ ≃ 1.43, where γ is the Lorentz factor) was observed [14,15]. The question arises, if indeed in the case of one component quantum unstable systems these oscillations of the decay process at the "exponential" regime are an anomaly, or perhaps universal feature of quantum decay processes.…”

“…Let us use now the relation (15) and assume that ⟨ϕ|H|ϕ⟩ exists and there exists instants 0 < t 1 < t 2 < ∞ of time t such that for any t ∈ (t 1 , t 2 ) there is ζ(t) = ζ(t 1 ) = ζ(t 2 ) = const def = c ϕ 0. In this case there should be ∂ζ(t) ∂t = 0 for all t ∈ (t 1 , t 2 ).…”

Nonclassical face of quantum decay processes

“…Values of these parameters correspond to γ = √ 2, which is very close to γ from the experiment performed by the GSI team [6,7] and this is why such values of them were chosen in our considerations. According to the literature for laboratory systems a typical value of the ratio m 0 /Γ 0 is m 0 /Γ 0 ≥ O(10 3 − 10 6 ) (see eg.…”

“…Results of these theoretical studies were the reason that there is rather widespread belief that a universal feature of the quantum decay process is the presence of these three time regimes. In this situation, each experimental evidence of oscillating decay curve at times of the order of life times is considered as an anomaly: The so-called GSI-anomaly [6,7] is an example. The question arises, if indeed in the case of one component quantum unstable systems such oscillations of the decay process at the "exponential" regime are an anomaly.…”