Is energy produced when neutrinos collide with another particle?

Scalymanfish
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I don't know anything about chemistry or physics, so this might be a stupid question. when neutrinos collide with let's say the nucleus of an atom, how much energy would be transferred from the neutrino?
 
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The neutrino gives up whatever kinetic energy it has. When a very high-energy neutrino hits a nucleus, the energy can produce many particles via quark-antiquark and lepton-antilepton pair production. This has been observed at e.g. Fermilab and CERN using beams of high-energy neutrinos, as far back as 40 years ago.
 
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}...

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