This is the number of nuclei present in one cubic meter of the substance used, therefore, based on the definitions and designations introduced, it can be concluded that there are (21) nuclei in the entire target, and if we take into account that the area where the particles enter into interaction, counting as the area of a single case, where it is enough to get one directed particle in order for the reaction to occur, take (14), then for the entire target, these values can be determined according to (22).




Now it is possible to determine the ratio of the entire area, getting to which, it is possible to cause the beginning of the reaction to the entire area of the target, which will be equal to the ratio of the particles that entered the reaction to all particles – functions expressing this value at the initial moment of time, directed initially in the beam (23).



Obtaining such an expression, it is possible to integrate both parts, indicating that the number of particles, as is known, is a function that, according to a certain integral, will take in itself the boundaries from the initial number of directed particles to the number of interactions in the target for the first integral. For the second side, this definite integral has boundaries from zero to the value of the extreme thickness of the target (24—25) [12—18].




For the second integral, the boundaries change, as does the sign of expression (26) with further transformation (27).




From this ratio, an equation can be obtained that would describe the number of particles entering the interaction (28) and from where the percentage efficiency of the nuclear reaction (29) could be calculated.




Thus, we can say that the nuclear reaction took place in an amount (28) with a total percentage efficiency (29) with kinetic energy for the departing light particles (10) and the total charge of the departing particles (30) and the resulting current (31) corresponding to the area of the departing target (32), along with all the velocities of the departing particles taken into account (33) [7—18].






In addition, the time of the nuclear reaction (34) can also be deduced from (29).



But here only light reaction products were considered, which in total give the power determined by (35), as well as the work performed (36), and with respect to heavy nuclei, their energy will not be sufficient to accelerate, which is why it is converted into thermal energy (37) due to the small velocities formed heavy nuclei (38).






However, this kinetic energy is rapidly distributed throughout the material, so the temperature defined in (37) refers only to a part of the formed new nuclei, and to calculate the target temperature after the reaction (39), [19—26] it is sufficient to distribute the total energy of the obtained nuclei to the entire material.



Thus, flying particles with certain parameters and nuclei with certain temperatures were obtained. However, there is such a thing as an outgoing Coulomb barrier. The value defined in (3) is precisely the incoming Coulomb barrier, and for the outgoing Coulomb barrier, this expression is transformed as (40) with the radius of the formed heavy core, calculated through (41).




In addition, an interesting case is when the number of particles is more than two (11), then it is necessary to refer to the sum where the Coulomb outgoing barrier begins to sum up for one particle receiving energy from all other particles and the charge of the same name with it (42—47) and here the relations with other particles in the beam are not taken into account, since this phenomenon it acts on the scattering of the beam, but when the scales are taken into account here, it is after a nuclear reaction with close distances.