Summary
A field theoretical model is discussed which can be solved exactly. This model corresponds to aps-ps Hamiltonian, in which only those terms are retained which correspond to the creation of one nucleon-antinucleon pair and to the destruction of one meson together with the inverse process. With this reduced Hamiltonian a finite number of particles are present also in the virtual state. For the pion-nucleon scattering only a single pair can exist in the intermediate states, and the low energys-wave phase-shifts are evaluated. The agreement with experiments is rather good.
Riassunto
Si discute un modello di teoria dei campi che può essere risolto esattamente. Questo modello si ottiene ritenendo nell’hamiltonianaps-ps, i soli termini che corrispondono alla creazione di una coppia di nucleoni e distruzione di un mesone assieme al processo inverso. Con questa hamiltoniana ridotta anche negli stati virtuali è presente un numero finito di particelle. Per lo scattering pione-nucleone soltanto una coppia può esistere negli stati intermedi e si possono dedurre le fasis a bassa energia. Il confronto con l’esperienza è soddisfacente.
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See reference (5). This range is 0.3–2.
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Bosco, B., Stroffolini, R. A field theoretical model forS-wave pion-nucleon scattering. Nuovo Cim 2, 433–442 (1955). https://doi.org/10.1007/BF02826502
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DOI: https://doi.org/10.1007/BF02826502