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Stochastic state-transition-change process and particle physics

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Abstract

The description of particle phenomena is important for basically all fields of physics. The contemporary theoretical statistical description of a particle phenomenon typically requires knowledge of the Hamiltonian of the system, cross sections or other information concerning various microscopic processes. However, this knowledge may not be available and need to be determined first on the basis of experimental data. Moreover, the diverse hitherto theoretical approaches are either restricted to relatively very small class of particle phenomena or are not easily usable for analysis of experimental data. Therefore, new state-transition-change (STC) stochastic process is proposed. STC stochastic process satisfies Markov property and opens up new possibilities for obtaining in unified way deeper insight to experiments having independent outcomes. With its help it is possible to determine probability density functions characterizing states of a system and probabilities of transitions of the states on the basis of experimental data. For example, in the context of particle physics it allows to describe in unified way particle decays, random motion of particles, particle–matter interactions (such as transmission of light, laser beam, through various optical elements), as well as particle–particle interactions (collisions). Not all particle experiments satisfy the assumptions of STC stochastic process, but broad class of particle experiments can be analyzed with its help.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Author’s comment: This is a theoretical study and no experimental data has been listed.]

Notes

  1. The term kinetic theory [6] is sometimes [7] regarded as the aspect of statistical mechanics that is concerned with the derivation and study of equations for the particle phase space density or distribution function (called kinetic equations or transport equations). The term transport theory is in [7] restricted to mathematical discipline concerned with the solutions of kinetic equations and applications of the solutions to the study of particle transport processes. We will not use this distinction. The term kinetic theory will not be used at all and the term transport theory will be used in very general sense denoting any theory which describes transport phenomena, not necessary related directly to particles, and try to provide some insight into transport processes.

  2. The TOTEM acronym stands for TOTal, Elastic and diffractive cross section Measurement, see totem.web.cern.ch.

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  1. Institute of Physics of the Czech Academy of Sciences, Na Slovance 2, Prague 8, 18221, Czech Republic

    Jiří Procházka

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Procházka, J. Stochastic state-transition-change process and particle physics. Eur. Phys. J. Plus 137, 955 (2022). https://doi.org/10.1140/epjp/s13360-022-03102-x

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