Все науки. №11, 2023. Международный научный журнал

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, this does not end the analysis of the reaction, since only one channel of the nuclear reaction has been analyzed, which means that it is worth paying special attention to all possible different combinations (60).

In this case, all possible variations of nuclear reaction channels are expressed as a matrix product, however, of course, most of them, especially those associated with heavy nuclei, are unlikely, but even this is not a complete list, since there are also reactions when the kinetic energy of directed particles becomes sufficient to create new particles. In addition, do not forget the cases when the output of particles increases, that is, 3, 4, etc. are already formed. the products of nuclear reactions, but only for their recording it was already necessary to use complex n-dimensional matrices.

Therefore, in practice, only the most probabilistic ones are left (61).

So, if the moment of formation of new particles is not taken into account, most often cases of the formation of an integral nucleus, the formation of a proton, neutron, electron, positron, deuteron, triton or other similar particles are taken (61). For each of these reactions, the output of the nuclear reaction channel is calculated for all possible enumerated combinations, unlike multidimensional cases and particle formation (62) and for more probabilistic channels of the nuclear reaction (63), along with the threshold of the nuclear reaction channel also for absolutely all cases except the above (64) and more probabilistic channels presented (65).

This is how the corresponding expressions were determined for all the presented channels of the nuclear reaction, it is worth taking the true formula (66), which represents the sum of the products of all the outputs of the channels by a certain number.

Moreover, one of the reaction channels was previously analyzed on a full scale, from which the value of the percentage efficiency of this channel (29) was obtained from the difference of which the required indicator is calculated. The present expression shows that each channel has its own percentage of efficiency, which in total is 100% of the effectiveness of the entire reaction.

From a practical point of view, this can be regarded as a percentage separation of all directed particles, and each of them performs one or another reaction channel in a certain proportion, of course, there is still some percentage attributable to beam scattering on the target, but this is the smallest value, after which all unlikely reactions occur. In addition, it is logical to assume that for cases when the reaction output becomes negative, that is, the channel itself, for which the output was determined – endo-energetically, then the probability of its passage in comparison with positive exa-energy channels becomes practically zero, therefore it is simply not taken into account in the equation.

If, when describing channels, almost all, even more likely channels are endo-energetic, then the channel that is closer to zero will become more likely, that is, for which it is necessary to spend less energy compared to others. Based on (66), it is possible to determine the probability for all reaction channels also relative to the nuclear reaction outputs (67—68) given in (62—63).

Finally, the kinetic energy of the products of each of the reaction channels can be determined according to the same algorithm that was originally used and presented in (9—10) and (12), exactly as for all nuclei, according to the algorithm already presented. Thus, finally, it can be said that the nuclear reaction (1), brought to a state of resonance with the energies of the incoming particles, close to the value of the Coulomb incoming barrier, has been fully analyzed.

RESULTS

The results of the analysis are presented as follows:

1. The condition of the task: a nuclear reaction of the form (1) was investigated with initially set parameters in the form of the kinetic energy of the directed beam and the mass of all participating particles in the nuclear reaction in a. u. m.;

2. Directed beams expend a certain amount of energy to overcome the Coulomb barrier, having residual energy – its found value is indicated;

3. The enumeration of the outgoing particles from the main channel of the nuclear reaction, including various groups of gamma quanta, if any, indicating the kinetic energy (where, if necessary, their classification by energy is also compiled), charge and current of each of them;

4. If the formed particles can probabilistically interact (like the annihilation of positrons and electrons), then this is indicated and an additional list with all relevant records is provided;

5. In accordance with each of the reactions, a list is given with all the work performed in J and power in Watts for each type of radiation with all components. At the same time, indicating general conclusions on the objectives of this study – general study / generation of electric energy / establishment of conclusions on some exact aspect, etc., as well as conclusions in the appropriate direction: the amount of energy generated, conclusions on the necessary aspect, general scientific data, conclusions, etc.

CONCLUSION

Based on theoretical analysis, the energies of the formed particles and their nature of origin are calculated. Nuclear reactions with bombarding charged particles with high and low kinetic energies of target nuclei have been studied, as well as the newly introduced resonant state of these nuclear reactions. Thus, the latest model for the study and analysis of a nuclear reaction was presented with the possibility of bringing it to a state of resonance.

ACKNOWLEDGEMENTS

The research project is funded by Electron Laboratory LLC and the Electron Scientific School at Electron Laboratory LLC as part of the large-scale Electron project. The author is grateful to the Academic Council of the Scientific School and colleagues for their advice and practical assistance in conducting the study, in particular Abdurakhmonov Sultonali Mukaramovich, Rinad Fuadovich Rumi, Jalolov Botirali Rustamovich and Karimov Bohodir Xoshimovich.

DECLARATION OF INTERESTS

The author, being the director of the organization that finances all the research within the framework of this article, declares that they have no known competing financial interests or personal relationships that could affect the work described in this article.

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