Summary
Contrary to naive scaling, vector-meson-proton total cross-sections are not proportional, at high collision energies, to the geometrical sizes of the vector mesons concerned. The ansatz (m 2+M 2)·σ vp=const, whereM is the proton mass, is found to be sufficient to produce cross-section ratios\(\sigma _{\rho p} :\sigma _{\omega p} :\sigma _{\varphi p} :\sigma _{\psi p} = 7.1:7.1:5.5:1\) in agreement with experiment, if this were all one wanted. Actually the constant in this modified scaling law can be fixed by using the generalized vector-meson dominance model to relateσ vp to the virtual Compton cross-section\(\sigma _{\gamma p} (\nu ,Q^2 )\)(ν Q 2) and hence to the deep-inelastic-scattering data. Consequently,σ vp can be determined in absolute value. There are important consistency conditions which this scheme has to and does effectively satisfy.
Riassunto
Contrariamente alla semplice legge di scala, le sezioni d’urto totali di mesoni vettoriali su protoni non sono inversamente proporzionali alle masse dei mesoni vettoriali. L’ansatz (m 2v +M 2)σ vp=const, doveM è la massa del protone, è sufficiente a riprodurre, in accordo con l’esperimento, i seguenti rapporti tra le sezioni d’urto:\(\sigma _{\rho p} :\sigma _{\omega p} :\sigma _{\varphi p} :\sigma _{\psi p} = 7.1:7.1:5.5:1\) La costante in questa ansatz è fissato usando il modello di «dominanza del mesone vettoriale» generalizzato per esprimere la sezione d’urto Compton virtuale\(\sigma _{\gamma p} (\nu ,Q^2 )\)(ν, Q 2) in termini diσ vp. Attraverso tale relazioneσ vp si può determinare in valore assoluto. Ci sono importanti condizioni di consistenza che questo modello soddisfa.
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Supported in part by the Bundesministerium für Wissenschaft und Forschung, Germany.
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Etim, E., Schülke, L. Vector-meson-proton cross-sections from deep-inelastic-scattering data. Nuov Cim A 89, 343–352 (1985). https://doi.org/10.1007/BF02884093
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DOI: https://doi.org/10.1007/BF02884093