Все науки. №6, 2022. Международный научный журнал

The target plate consists of arranged atoms and let a certain number of charged particles enter inside. If we place a reference frame at the beginning of the target, then we can use the following statement that the particles will pass through some part of the target, which begins at a certain coordinate and ends at the coordinate of the sum of this coordinate and the thickness of the part itself, and the thickness is equal to the difference of these coordinates.

The question arises to this condition: how many incoming charged particles will enter into the interaction? To do this, we indicate that there are N (x) particles at the first coordinate, and dN at the end point N (x), respectively, where dN is the number of interacting charged particles.

Let’s determine the number of cores in this segment of two coordinates – x and x+dx, if the thickness between them is dx. To do this, we introduce the value of the density of nuclei, which determines the number of nuclei of a substance per unit volume, it is defined as the ratio of the density of a substance to its atomic mass in kg and changes into a nucleus / m3 (2).

To determine how many cores there are at a specified point, it is enough to multiply this value (2) by the volume in this part of the plate, for this its area is multiplied by the thickness and by (2), which is indicated in (3).

But what is the area, once in which the core will get into the interaction? For one nucleus, we introduce the concept of the nuclear effective cross section, the same region, and since the actions take place in a circle relative to the nucleus of an atom, this value is determined by (4).

Thus, the area available for interaction is (5).

But the ratio of this area to the entire area of the plate is equal to the ratio of the number of all particles remaining without interaction to the total number of particles, that is, it is true (6).

Now, we introduce a numerical definition for (6), and for this we integrate both parts (7) separately into (8) and (9), and then we get the overall result (10).

From here we can get the value of the interacting particles (11).

And the output power can also be calculated thanks to (12).

Hence, a jump in power is obtained, that is, a resonance when approaching the energy of the Coulomb interaction in a nuclear reaction.