I How Do Positrons Reach Cloud Chambers Without Annihilating?

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Positrons can travel through cloud chambers without immediate annihilation due to the low probability of annihilation occurring unless they are moving slowly relative to electrons. As positrons move quickly, they can cover significant distances before encountering electrons. Annihilation events are rare and typically occur when a positron interacts with a stationary electron, as illustrated by bubble-chamber photographs showing abrupt stops in positron tracks. Additionally, when a positron does annihilate, it can produce photons that may lead to further particle interactions. Thus, cloud chambers can detect positrons even if they are not annihilated at the moment of observation.
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I was researching on the Anderson cloud chamber that discovered the positron in 1932. I couldn't help but wonder, if positron annihilates upon contact with an electron, how was it able to get till the cloud chamber without annihilation? Shouldn't the 2 photons be the only thing observed in the cloud chamber which are produced upon annihilation? Or does a cloud chamber detects only the existence of positron and does not mean that the positron is exactly at that point in that time.
 
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”Upon contact with an electron” is an extremely popularised version of what is going on. It is so inaccurate that no reasoning can be based on it.
 
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Orodruin said:
”Upon contact with an electron” is an extremely popularised version of what is going on. It is so inaccurate that no reasoning can be based on it.
Could you then tell me what the accurate reasoning is?
 
The probability of annihilation is very low unless the positron is moving slowly with respect to the electron. While it's slowing down its moving quickly and thus covers a lot of ground.
 
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The probability of annihilation is very low until it hits a heavy plate with a large density of electrons.
 
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