Unstable state decay without Exponential Law - small $Q$ value s-wave (sQs) decay -Unstable state decay without Exponential Law - small $Q$ value s-wave (sQs) decay -

Toshifumi Jittoh, Shigeki Matsumoto, Joe Sato +2 more

We study the decay process of an unstable quantum system, especially the deviation from the exponential decay law. We show that the exponential period no longer exists in the case of the s-wave decay with small $Q$ value. We also derive the quantitative condition that this kind of the decay process takes place and discuss what kind of system is suitable to observe the decay.We study the decay process of an unstable quantum system, especially the deviation from the exponential decay law. We show that the exponential period no longer exists in the case of the s-wave decay with small $Q$ value. We also derive the quantitative condition that this kind of the decay process takes place and discuss what kind of system is suitable to observe the decay.

Aug 24, 20040 citations

Multichannel decay law

Francesco Giacosa

It is well known, both theoretically and experimentally, that the survival probability for an unstable quantum state, formed at t = 0 , is not a simple exponential function, even if the latter is a good approximation for intermediate times. Typically, unstable quantum states/particles can decay in more than a single decay channel. In this work, the general expression for the probability that an unstable state decays into a certain i -th channel between the initial time t = 0 and an arbitrary t > 0 is provided, both for nonrelativistic quantum states and for relativistic particles . These partial decay probabilities are also not exponential and their ratio turns out to be not a simple constant, as it would be in the exponential limit. Quite remarkably, these deviations may last relatively long, thus making them potentially interesting in applications. Thus, multichannel decays represent a promising and yet unexplored framework to search for deviations from the exponential decay law in quantum mechanical systems, such as quantum tunneling, and in the context of particle decays .It is well known, both theoretically and experimentally, that the survival probability for an unstable quantum state, formed at t = 0 , is not a simple exponential function, even if the latter is a good approximation for intermediate times. Typically, unstable quantum states/particles can decay in more than a single decay channel. In this work, the general expression for the probability that an unstable state decays into a certain i -th channel between the initial time t = 0 and an arbitrary t > 0 is provided, both for nonrelativistic quantum states and for relativistic particles . These partial decay probabilities are also not exponential and their ratio turns out to be not a simple constant, as it would be in the exponential limit. Quite remarkably, these deviations may last relatively long, thus making them potentially interesting in applications. Thus, multichannel decays represent a promising and yet unexplored framework to search for deviations from the exponential decay law in quantum mechanical systems, such as quantum tunneling, and in the context of particle decays .

arXiv:2108.07838Physics Letters BMay 26, 202212 citations

Unstable state decay without Exponential Law - small

Q

value s-wave (sQs) decay -

Q

value. We also derive the quantitative condition that this kind of the decay process takes place and discuss what kind of system is suitable to observe the decay.