Isobar Production in Boson-Nucleon Collision

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An attempt is made to understand the successful results of the isobar model analysis by Olsson and Yodh from the dynamical aspect. This is made under the assumption that the isobar is predominantly produced through the exchange of the I=1, J=1 di-pion system between the incident boson and the target nucleon, if there is no serious kinematical restriction against the exchange and if there is no other resonances. Such a model can be applied to the reactions π^+p→2πN and KN→KπN in the lower energy region. The rise of the inelastic cross section is calculated. The fit with the experiment is excellent, especially for π^+p reaction. Although in our model, the isobar is produced mainly in P-state, the results of the usual isobar model, where S-state production is assumed, is little changed And the validity of the model becomes quite plausible, if the particular angular distrbution of the isobar stated in the text does not contradict experiment. Partial wave projection of the amplitude is performed, and it is shown that in fact the isobar is produced dominantly in P1/2 and P3/2 near the threshold; the elastic amplitudes for P1/2 P3/2 states, rather than D2/2 are perhaps to be seriously affected by the rise of the inelastic process. Some discussion is made about the relation between the model and the usual treatments of final state interaction, and treatment of the lowest graph of the vector meson theory. A few remarks are made concerning the π^-p reaction, to which the present model cannot be applied because of the effects of the higher resonances.
理論物理学刊行会の論文
1964-02-25

Isobar Production in Boson-Nucleon Collision

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