Can Neutrino Mass Eigenstates Ever Change into Other Mass Eigenstates?

McLaren Rulez
Messages
289
Reaction score
3
Hi,

We know that when we have one flavour of neutrino, it can change into another flavour by neutrino oscillations. However, if we consider a mass eigenstate, then is it true that it can never change into a different mass eigenstate? In other words is a |v_{1}> neutrino forever a |v_{1}>? I think the answer is yes but I would like to clarify.

If so, are the mass eigenstates the "real" fundamental particles then but it just happens to be that we can only observe neutrino flavours?

Thank you!
 
Physics news on Phys.org
That sounds about right.
 
McLaren Rulez said:
If so, are the mass eigenstates the "real" fundamental particles then but it just happens to be that we can only observe neutrino flavours?
It's not only a matter of observation, but also of production. Since the neutrino flavors are the eigenstates of the weak interaction Hamiltonian, these are the particles which are produced in weak interactions.
 
Thank you very much, Parlyne and kith.
 
Toponium is a hadron which is the bound state of a valance top quark and a valance antitop quark. Oversimplified presentations often state that top quarks don't form hadrons, because they decay to bottom quarks extremely rapidly after they are created, leaving no time to form a hadron. And, the vast majority of the time, this is true. But, the lifetime of a top quark is only an average lifetime. Sometimes it decays faster and sometimes it decays slower. In the highly improbable case that...
I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...
Back
Top