Unlike well-known Cold Fusion that has no safe experimental confirmation, we consider Real Cold Fusion based on numerous experiments where nuclear reactions take place without overcoming the Coulomb barrier. These reactions usually are connected with luminous objects with anomalous properties where a circulating light is responsible for their anomalies. The most famous among them is ball lightning, consisting of a spherical thin shell of highly compressed air, in which ordinary white light circulates. It is shown that the air molecules in the shell are extremely densely packed The same is in other luminous objects with circulating light. However, close packing of molecules is not enough, since there are no reactions in liquids and solids. An assumption has been made that atoms are characterized by an additional parameter that determines the phases of oscillations, that is, atoms are oscillators. To exchange energy, the phases of oscillations in the oscillators must differ. This condition is not satisfied at steady state in liquids and solids, but may occasionally be satisfied when air is compressed in objects with circulating light. It has been shown that cavitation bubbles that arise during water cavitation also belong to such objects. Evidence is provided that during cavitation of water, excess energy is observed with the formation of new neon nuclei. A table is given of possible nuclear reactions between identical nuclei, which are accompanied by the appearance of new nuclei and excess energy. It is shown that in all reactions the energy of one of the resulting nuclei is less than the energy of the original nucleus, and the energy of the other is greater. This indicates that during such reactions there was an exchange of energy between the nuclei. Similar processes take place in coupled oscillators. This is an additional argument that nuclei are oscillators, the exchange of energy between which is possible without their collision and overcoming the Coulomb barrier. The requirements for maximum output of excess energy are analyzed. It is shown that these requirements are met during hydrodynamic cavitation.