Not sure where you are going with this - but the simple explanation of all is it cannot happen, due to conservation of spin.
Two half-spin fermions cannot fuse to form a half-spin neutron. Otherwise
hydrogen would be unstable and spontaneously form neutrons.
From: David Roberson
I have a question that has bugged me for quite some time now
and maybe one of you would humor me with a simple explanation.
Do we have to consider the total energy required for a P + e
to become a N to have to arise out of a non active material?
Oh sure - if you have a relativistic beam line with which to arbitrarily
convert energy into mass of any variety, such as creating a neutrino to
carry away the extra spin - then you can do it; but the energy balance is so
lop-sided that it is irrelevant for practical purposes.
Once again, Widom Larsen theory is brain dead from start to finish.
Jones
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