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Lifetimes of SU(3) groups and ψ particles as a scaling in powers of α

Malcolm H. Mac Gregor*

  • Lawrence Livermore Laboratory, Livermore, California 94550

  • *Work performed under the auspices of the U. S. Energy Research and Development Administration under Contract No. W-7405-Eng-48.

Phys. Rev. D 13, 574 – Published 1 February, 1976

DOI: https://doi.org/10.1103/PhysRevD.13.574

Abstract

A study of the experimental systematics of elementary-particle lifetimes leads to the following conclusions: (a) Elementary-particle lifetimes τ divide empirically into two distinct groups—"particles" (τ>1021 sec) and "resonances" (τ<1022 sec), where "particle" lifetimes are spaced by powers of α=e2 c and "resonance" lifetimes occur as a continuum of values; (b) the scaling of "particle" lifetimes in powers of α is a "lifetime democracy" in the sense that baryons, mesons, and leptons are all grouped together in one over-all lifetime scaling pattern; (c) integral-spin boson "particle" lifetimes scale in powers of α, whereas half-integral-spin fermion "particle" lifetimes scale in powers of α2; (d) an SU(3) grouping of lifetimes reveals some striking patterns, with the ψ and ψ lifetimes appearing as an extension of one of these patterns; (e) phase-space corrections, which are important for "resonance" lifetimes, are not as important for "particle" lifetimes; (f) if hadron lifetimes are grouped according to baryon number and strangeness, and then sorted into spin states, an empirical spin and lifetime correlation is seen in all of these groups: As the spin value increases, the maximum observed lifetime decreases.

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