Particle can decay through many channels with probabilities [itex]p_i[/itex], where in each channel its decay time is different [itex]\tau_i[/itex]. It always decays through one of the channels.(adsbygoogle = window.adsbygoogle || []).push({});

Particle decays according to exponential law where probability to decay in time [itex]t[/itex] is

[tex]

P^{(i)}_d(t)={1\over\gamma\tau_i}\exp\left({-{t\over\gamma\tau_i}}\right)\;.

[/tex]

What is the total probability for a particle to survive a given time [itex]t[/itex] (so it does not decay in any channel)?

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# Multichannel particle decay survival probability

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