On Sat, Dec 28, 2013 at 5:08 PM, <[email protected]> wrote: > In reply to [email protected]'s message of Fri, 20 Dec 2013 > 00:54:51 > -0500 (EST): > Hi, > [snip] > >In case they were not cited in Vortex earlier, the two authors have a > >number of papers on Arxiv that may be relevant to LENR - at URL: > >http://arxiv.org/find/nucl-th/1/au:+Keszthelyi_T/0/1/0/all/0/1 > > > >One of these is - > >"Nuclear processes in solids: basic 2nd-order processes" > >http://arxiv.org/abs/1303.1078 > > > I am troubled by the first line in section II. > > "In the low-energy range (kR ?á 1, where R is the radius of a nucleon) and > for > |r| . R > the long wavelength approximation > |'(r)| = |'(0)| = fjk(k)/?ãV (6)" > > (Poor reproduction in ASCII text - please see original to make sense of > this). > > If R is the radius of a nucleon, then it is something less than 1 fm. If > the > approximation in (6) is only valid when |r| < R, then is it only valid for > distances less than 1 fm. However at these distances, the nuclear force > reigns > supreme, and nuclear reactions happen near instantaneously anyway. IOW by > the > time the approximation takes effect, it is useless. Besides, how does one > get > that close in the first place? > >
There are two ways to shrink the distance between H nuclei. The first is to bring the H nuclei closer together. The second is to enlarge the H nuclei. The latter option seems impossible but since there is now some tentative evidence that the radius of a proton shrinks by 8% if it is orbited by a muon, perhaps the radius of proton can also swell the right environment. The question is how much would a proton need to swell appreciable boost the rate of fusion. > > > >ABSTRACT > >Nuclear processes in solid environment are investigated. It is shown that > >if a slow, quasi-free heavy particle of positive charge interacts with a > >"free" electron of a metallic host, it can obtain such a great magnitude > >of momentum in its intermediate state that the probability of its nuclear > >reaction with an other positively charged, slow, heavy particle can > >significantly increase. It is also shown that if a quasi-free heavy > >particle of positive charge of intermediately low energy interacts with a > >heavy particle of positive charge of the solid host, it can obtain much > >greater momentum relative to the former case in the intermediate state and > >consequently, the probability of a nuclear reaction with a positively > >charged, heavy particle can even more increase. This mechanism opens the > >door to a great variety of nuclear processes which up till know are > >thought to have negligible rate at low energies. Low energy nuclear > >reactions allowed by the Coulomb assistance of heavy charged particles is > >partly overviewed. Nuclear pd and dd reactions are investigated > >numerically. It was found that the leading channel in all the discussed > >charged particle assisted dd reactions is the electron assisted d+d?¨ 4He > >process. > > > > > >> Perhaps of interest: > >> > >> Electron assisted neutron exchange process in solid state environment > >> http://arxiv.org/pdf/1312.5498v1.pdf > > > > > Regards, > > Robin van Spaandonk > > http://rvanspaa.freehostia.com/project.html > >
