Summary
A study of bound states of micleon-antinucleon pairs is carried out with an unsubtractedN/D method previously applied to the KK system. The binding forces are generated by meson exchanges treated with Regge pole formalism. The meson exchange terms are chosen to be consistent with fits to nucleon-nucleon scattering data. It is shown that π,η, ρ and ω mesons may be obtained as boundNN states, but predictions are limited in detail because of sensitivity to input Eegge slope parameter values. A discussion of self-consistency is given, and the bootstrap mechanism for the mesons is found to be not completely consistent when only N-N states are included.
Riassunto
Si esegue uno studio dello stato legato di ooppie nucleorie-antinucleone oon un metodoN/B senza sottrazione, già applicato al sistema K-K. Le forze di legame sono generate da scambi di mesoni trattati col formalismo dei poli di Regge. Si scelgono i termini di scambio mesonioo in modo che siano in accordo con le approssimazioni ai dati dello scattering nuoleone-nucleone. Si mostra che i mesoni π, η, π e ω si possono ottenere corne stati legatiN-N, ma le predizioni sono scarsamente dettagliate a causa della sensibilità ai valori di entrata del parametro della pendenza di Regge. Si discute l’autocoerenza e si trova che il meccanismo di bootstrap per i mesoni non è completamente coerente se si includono solo gli statiN-N
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Work supported in part by the National Science Foundation.
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Arnold, R.C. Bound states and Regge trajectories in a vector meson exchange model. Nuovo Cim 37, 589–607 (1965). https://doi.org/10.1007/BF02749858
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DOI: https://doi.org/10.1007/BF02749858