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- W2005102905 abstract "Abstract When a scattering reaction occurs, it is usually assumed that the complete set of collision states is entirely composed of travelling waves, hense any constituent, in principle, is observable. Should, however, either quarks, regulator photons or lepton satellites be standing wave states, i.e. only shadow states, we would not expect to have observed them. In this paper we discuss the new terms which modify the usual dispersion relations and the Low equation and argue that present two-body experiments do not provide strong tests for their presence. In the Bjorken limit these piecewise analytic terms vanish. Yet, in a shadow indefinite-metric theory, the logarithmic terms breaking this limit are still absent. The triangle anomalies, therefore, should only be taken seriously in low energy reactions. A stronger constraint on the presence of shadow states can be provided by verification of the Callen-Gross sum rule. By means of a simple version of the Kuti-Weisskopf model, containing valence quarks and quark-antiquark pairs, we demonstrate explicitly how quarks can be shadow states. In an appendix, in formal scattering theory with shadow states, the correct formal solutions for the exact asymptotic states, both physical and shadow, are obtained." @default.
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- W2005102905 date "1974-04-01" @default.
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- W2005102905 title "S-matrix elements in the presence of shadow states, the Bjorken limit and shadow quarks" @default.
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- W2005102905 doi "https://doi.org/10.1016/0550-3213(74)90219-3" @default.
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