Friday, 3 July 2020

particle physics - Energy of the electron-muon reaction


Lets see the reaction:


$e^- \mu^- \to e^- \pi^- \nu_\mu \;\;\;\;\;\;\;\;\;\;\; {(1)}$


I suppose, that this reaction occurs as follows


$e^- \mu^- \to e^- \mu^- \pi^+ \pi^- \to e^- \pi^- \nu_\mu$


Is it possible at energy less than 2*140 MeV?


The same is for the analogous proton-muon reaction


$p^+ \mu^+ \to p^+ \pi^+ \bar{\nu}_\mu \;\;\;\;\;\;\;\;\;\;\;{(2)}$



Once more reaction:


$p^+ p^+ \to p^+ p^+ \pi^- \pi^+ \to p^+ n \pi^+ \;\;\;\;\;\;\;\;\;\;\;{(3)}$


What are the experimental data?




P.S. This question is important enough. The main solar reaction is


$p^+ p^+ \to d^+ e^+ \nu_e $


If this reaction occurs as follows


$p^+ p^+ \to p^+ p^+ e^- e^+ \to p^+ n \nu_e e^+ \to d^+ e^+ \nu_e$


then it would require the energy of more than 2*0.511 MeV to take place. Cross section of this reaction will be much less, so the main solar reaction should be


$p^+ p^+ e^- \to d^+ \nu_e $







Update 20.02.11


Why I think so? I suppose that new particles are created in pairs particle-antiparticle. So the reaction


$e^- e^- \to e^- e^- \pi^- \pi^+ $


requires the energy of more than 2*140 MeV to take place


As well as the reaction


$e^- e^- \to e^- e^- \pi^- e^+ \nu_e $


from symmetry considerations, since there is a decay


$\pi^+ \to e^+ \nu_e$



And the result is


$e^- e^- \to e^- e^- \pi^- e^+ \nu_e \to e^- \pi^- \nu_e $


contrary to


$e^- e^- \to e^- \nu_e W^- \to e^- \pi^- \nu_e$


with the minimum reaction energy of 140 MeV


The same is valid for the reactions (1) (2) (3)


So what is the experimental data on minimum energy of these reactions?




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