The thorny way of truth - Free Energy Community

184We know that each nucleus consists of protons and neutrons; the difference betweentheir masses is extremely small and this allowed us to neglect it in (5). We do notknow, however, something certain about the charge distribution and the size of the neuatron. That is why we are tempted to assume that relation (6) gives generally proportionality between the EES of the nucleus and the EES of the particles it consists of.If we should assume that the protons and neutrons of the atomic nucleus build specificconglomerations called clusters, and if we should ascribe to any such clusterits EES, denoting it by R » we can write Rj^ ~ kR , where k is a certain coefficient ofproportionality. We can then writeA„=kA^, (7)and thus the elementary wave of de Broglie of the nucleus will be proportional to theelementary waves of the clusters of which it consists.We would like to call attention to the fact, that our concepts are quite near tothe cluster hypothesis developed lately by not a few investigators.Relation (7) points to the seldom noticed connection between the elementary wave ofde Broglie (its EES) and the same waves of the clusters of which it consists. The proportionalitybetween them allows to consider (7) from another point of view: as ananalogue of the connection which must exist between the width of the infinitely deeppotential hole, L, and the wavelength. A, of an elementary particle closed in it. Thewidth of the potential hole must be proportional to the wavelength2L = nA,so that the particle would not be able to leave the hole.We have reasons to liken the double value of the EES to the width of an infinitelydeep potential hole, where the particles of which the nucleus consists are closed. Itseems that, in order the nucleus to be stable, in the double width of the hole theremust be a whole number of times of elementary waves of these particles2^^= nA^ or 2R,^ = nR^. (8)As an attempt to illustrate the above presented approach, we shall first considerTable 1 presenting the EES, defined after formula (3) of the most elementary existinnuclei: proton, p, deuteron, d, and triton, t, which are also among the fundamental