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- W2003303434 abstract "We examine the effect of particle compositeness on the importance of ``Z diagrams'', i.e., virtual particle-antiparticle states appearing in scattering processes. The examples of positronium in QED, and of the nucleon in the QCD-based quark model, are discussed in detail. Generally, if the composite particle consists of N constituents, its Z-diagram amplitude involves creation and annihilation of N constituent-anticonstituent pairs. This process (which we assume to be governed by Coulomb-type interactions with the ``fine structure constant'' ensuremath{alpha}) must take place in a small volume ensuremath{sim}1/${mathit{M}}^{3}$, where M is the particle's mass; an additional suppression is due to the fact that the created system is electrically (or color) neutral. The composite particle's Z-diagram amplitude is then suppressed, compared to that for an elementary particle, by at least a factor ${mathit{f}}_{mathit{Z}}$ensuremath{sim}(${mathit{q}}^{2}$/${mathit{M}}^{2}$)[${mathrm{ensuremath{alpha}}}^{2}$/(${mathit{M}}^{3}$${mathit{R}}^{3}$)${]}^{mathit{N}mathrm{ensuremath{-}}1}$, where q is the momentum transfer to the particle, and R the composite particle's size. The decoupling of the composite Z diagrams at zero momentum transfer is consistent with low-energy theorems." @default.
- W2003303434 created "2016-06-24" @default.
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- W2003303434 date "1991-04-01" @default.
- W2003303434 modified "2023-09-25" @default.
- W2003303434 title "Zdiagrams of composite objects" @default.
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- W2003303434 doi "https://doi.org/10.1103/physrevc.43.1946" @default.
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