How do physicists know the value of spin?

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Offline rome@lackmail.ru

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How do physicists know the value of spin?
« on: 15/08/2016 07:27:50 »
(Sorry for my poor English.) How do they know that photons have spin 1, leptons 1/2, .... Is it a math trick? I mean, maybe it's necessary these values to combine the equations with the results (experimental observation and theoretical predictions of angular momentum, etc..).