What's the Heat of Formation of Proton, Neutron and Electron?

CutterMcCool
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I'm thinking about the thermodynamics of electron capture:

p + e --- n + v(e) + energy

(That is, proton absorbs electron to give neutron, electron neutrino and energetic photons.)

This is thermodynamically disfavored given the substantial energy barrier to fusion to a neutron (analogous to stellar fusion of hydrogen to helium) so it must involve a tremendous release of energy (increase in entropy) when it occurs.

Ultimately I'm looking to calculate the increase in universal entropy that the entropy change in this system provides.
 
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The reaction your describing has energy going the wrong way. A neutron decays into a proton, an electron, and neutrino. In order to go the other way you have to add energy.
 
Yes that's correct, energy must be input to initiate this. But (disordered) energy also comes out on the backside after energy is put in.
 
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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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