echaniot
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Hello!
I went back to studying my neutrinos and tried to get greater insight into mass eigenstates. This led to a gedanken experiment I have been toying with for a while, and about which I would like your help. Here goes.
Imagine that you produce an *ideal* beam of monoenergetic muon neutrinos. You have an *ideal* detector with supreme momentum and energy resolution, good enough to resolve neutrino mass eigenstates. Some of your neutrinos interact via charged current interaction with the detector producing a muon. You measure the total momentum and energy of each interaction and are able to reconstruct the invariant mass. What would you see in your invariant mass histogram ?
My opinion is that you would see three distinct peaks representing m1,m2,m3 , the height of each being proportional to |Uμi|^4 (i=1,2,3). Is this correct?
Thank you for your time.
I went back to studying my neutrinos and tried to get greater insight into mass eigenstates. This led to a gedanken experiment I have been toying with for a while, and about which I would like your help. Here goes.
Imagine that you produce an *ideal* beam of monoenergetic muon neutrinos. You have an *ideal* detector with supreme momentum and energy resolution, good enough to resolve neutrino mass eigenstates. Some of your neutrinos interact via charged current interaction with the detector producing a muon. You measure the total momentum and energy of each interaction and are able to reconstruct the invariant mass. What would you see in your invariant mass histogram ?
My opinion is that you would see three distinct peaks representing m1,m2,m3 , the height of each being proportional to |Uμi|^4 (i=1,2,3). Is this correct?
Thank you for your time.