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.
Where (42) is used for the lightest particle of all the obtained reaction products in the set (43); for all intermediate reaction products (44) on the set (45) with its conditions; for the heaviest particle (46) on the scale of the set (47).
By definition, the value of the outgoing Coulomb barrier, as can be seen, is described as the energy that the outgoing particles acquire, pushing off from each other, immediately after overcoming the nuclear forces and before decreasing with increasing distance between them, and therefore each of the particles receives this energy, due to which, if the kinetic energy formulas of light reaction products are practically not If they change, then for heavy particles formulas (37—39) acquire a new form in (48—50).
But before continuing the analysis, it is worth considering the case when the formed core may be radioactive.
In this case, it is worth analyzing the reaction of the form (51).
Exactly as the analysis was carried out for reaction (1), a similar algorithm is carried out for reaction (51), but, of course, the Coulomb barrier is not determined, since there is no directed particle for this reaction, therefore the yield of this reaction (52) is determined, and then the kinetic energy for all reaction products (53).
And one of the final points of the analysis of the decay reaction is the indication of the law of nuclear decay (54).
In this case, a certain stable nucleus and light particles are obtained, with a certain kinetic energy and a known velocity (55).
If the real core is radioactive again, although such cases are quite rare, the same algorithm for analyzing decay reactions works for them. In this case, each of the particles will also repel, receiving an additional outgoing Coulomb barrier, which is taken into account.
In this case, for the nucleus, the kinetic energy and the temperature generated from it are explained by means of the already derived patterns for the formed part (56) and for the entire target (57), and for light particles, the kinetic energy is known, as well as the charge through (58) and current (59).
However,