Hardon decay processes and the quark model View Full Text


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Article Info

DATE

1967-08

AUTHORS

R. Van Royen, V. F. Weisskopf

ABSTRACT

The quark model is used for the calculation of the decay rates of baryons and mesons. According to this model the 56 states of baryons contained in the fundamental octet and decuplet areS-states of a three-quark system and the 36 states of mesons in the scalar and vector octets areS-states of a quark-antiquark system. The states differ from each other in the relative orientation of spin and unitary spin of the quarks and not much in the spatial wave functions. The rates are calculated for transitions between these states which are: (A) by weak interaction—emission of lepton pairs,B) by electromagnetic interaction— emission of γ-rays or electron pairs, andC) by strong interaction—emission of pions. These rates are calculated with the same method for all transitions. In all cases the interaction is transmitted by a spin-flip only (mechanical and/or isotopic). In addition, the same methods lend themselves to a calculation of the annihilation of the quark and the antiquark in mesons, accompanied by either a lepton pair emission (weak or electromagnetic interaction) or a pair of γ-rays. These methods allow the calculations of the rates of all decay processes where the number of hadrons remains unchanged, without any assumptions regarding the quark interactions. All that enters are the known weak, electromagnetic and strong coupling constants and the proton magnetic moment. The processes where a meson disappears depend also upon the value |ψ(0)|2, which is the square of the wave function of the quark-antiquark system at zero distance. From comparison with the observed rates that magnitude turns out to be of the order fm−3 and proportional to the meson mass. The following predictions can be made on the basis of our model for the partial width of decays not yet measured: ∑0→Λ+λ 8.3 keV, ω→e+e− 0.63 keV, ρ→ν+ψ 50 keV, ϕ→e+e− 1.0 keV, ω→ν+γ 6.3 keV, ν→2γ 0.45 keV (*), ϕ→н+ψ 0.34 MeV, η→π02γ 0.53 eV, ⥉→2πγ 0.16 keV. We find also: ρ→e+e− 5.8 keV, π0→2γ 12 eV, ρ→2π 185 MeV, ω→3π 14 MeV which agree rather well with the experimental data. More... »

PAGES

617-645

References to SciGraph publications

  • 1965-12. Primakoff effect and π0 lifetime in IL NUOVO CIMENTO A (1965-1970)
  • 1965-06. X°-η Miximg and Some Radiative Mesen Decay Process in IL NUOVO CIMENTO (1955-1965)
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02823542

    DOI

    http://dx.doi.org/10.1007/bf02823542

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