Summary
We have studied dispersion theory sum rules i) forA andB πΞ amplitudes, ii) for the linear combination ofA amplitudes for\(\pi {\mathcal{N}}\) and πΣ scatterings, and iii) forA andB amplitudes for the process\(\bar {\rm K}{\mathcal{N}} \to K\Xi \). When the sum rules are saturated with the low-lying resonances they are found to be reasonably well satisfied.
Riassunto
Si sono studiate le regole di somma della teoria di dispersione i) per le ampiezzeA eB di πΞ, ii) per la combinazione lineare delle ampiezzeA per gli scattering\(\bar {\rm K}{\mathcal{N}} \to K\Xi \) e πΣ, e iii) per le ampiezzeA eB per il processo\(\bar {\rm K}{\mathcal{N}} \to K\Xi \). Si trova che, quando sono saturate con risonanze di basso livello, le regole di somma sono soddisfatte abbastanza bene.
Резюме
Мы исследуем правила сумм дисперсионной теории 1) дляА иВ амплитуд πΞ, 2) для линеиной комбинацииА амплитуд для\(\pi {\mathcal{N}}\) и πΣ рассеяний, и 3) дляА иВ амплитуд для процесса\(\bar {\rm K}{\mathcal{N}} \to K\Xi \). Когда правила сумм насыщаются в случае низко лежащих резонансов, было обнаружено, что они довольно хорошо удовлетворяются.
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Seth, V.P., Sharma, M.C. & Agarwal, B.K. Dispersion theory sum rules. Nuovo Cimento A (1965-1970) 69, 569–572 (1970). https://doi.org/10.1007/BF02819087
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DOI: https://doi.org/10.1007/BF02819087