## Heuristic Methods for the Calculation of Mass for Particles and Their Possible Interpretation in Terms of Diagrammatic Expansions.

**Authors:** Osvaldo F. Schilling

Heuristic methods for the calculation of mass for leptons, baryons and mesons proposed by Barut and other authors in the 1970s to 1990s are discussed, as well as an extension by the present author. Particles are associated with loops of revolving charge, interpreted by the author either as coherent or incoherent loops of waves. Results are consistent with the kinetic energies obtained for the physically analogous superconducting loop case, treated theoretically by Byers and Yang, which scales as n^2(in which n is a Bohr-Sommerfeld quantum number) and displays periodicity as a function of the amount of trapped magnetic flux inside a loop. From Barut´s model we obtain the mass for the tau-lepton, corresponding to n=4, and for n=3 a “proton” with m ≈ 945 Mev/c^2 mass. The masses for other baryons can be obtained by considering the coherence breaking effect of trapped flux on the modulation of the mass-energy behavior as a function of n, with a theory quite similar to that for charge density waves in rings. We discuss also the interpretation of these calculations in field-theoretic terms as presented by other authors in terms of diagrammatic expansions.

**Comments:** 10 pages, 1 figure.

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### Submission history

[v1] 2018-07-28 20:16:09

[v2] 2018-07-29 08:07:52

[v3] 2018-08-14 18:50:20

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