How do I quantitatively sketch the shape of teh neutrino spectrum for various types of decay? What should I lablel on the axes? Relative number vs. Energy?
a) EC decay of 207-Bi, Q = 2.40 MeV
Since EC decay results in only neutrino and daughter nucleus, I know that the energy is definite. But would I used conservation of momentum? What is the mass of a neutrino?
b) Beta+ decay of 22-Na, Q = 3.86 MeV
How would I do this? I know how the energy spectra for daughter nuclei look, but I don't know how to sketch the one for the neutrino. I think it has the same energy range as that of the daughter nuclei, but how do I find the peak of the curve? Is it the same peak as that of the daughter nucleus? Or would I have to solve the whole Fermi Golden rule equation in variables relating to neutrinos? Then I would differentiate the equation for the peak? *delete me*!!
c) Beta- decay of 14-C, Q = 0.156
Similar to b), but I know that positron and electron decay differ because of the interaction between the electron and daughter nucleus (versus the positron and daughter nucleus interactions).
Remember the question asks for a quantitative answer....