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A stochastic approach to the hadron spectrum. II

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Abstract

The definition of mass as a random variable is applied to the study of the decay rates. A decay is assumed possible when the fluctuation of the Gaussian variables involved makes a definite relation satisfied. Computing the probability of this process leads to the determination of the decay amplitude. This calculation, unified for baryons and mesons, is worked out in the lower and medium spectrum (up to2000 MeV for baryons and mesons), and fits to≈20 MeV the accurate measurements of width and branching ratios.

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References

  1. J. C. Aron,Found. Phys. 16, 1021 (1986).

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  2. A. Papoulis,Probability, Random Variables, and Stochastic Processes (McGraw-Hill Kogakusha, Tokyo, 1965), p. 210.

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Authors and Affiliations

  1. Institut Henri Poincaré, 11 Rue Pierre et Marie Curie, 75005, Paris, France

    J. C. Aron

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  1. J. C. Aron
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Aron, J.C. A stochastic approach to the hadron spectrum. II. Found Phys 16, 1159–1210 (1986). https://doi.org/10.1007/BF00761287

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  • DOI: https://doi.org/10.1007/BF00761287

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