Summary
A simultaneous analysis of total cross-sections, real parts, charge exchange forward differential cross-sections and finite-energy sum rules is performed for the crossing-odd\(\pi {\mathcal{N}}\) forward-scattering amplitude, in order to compare several different high-energy models. It is found that other singularities in theJ-plane are required besides the ρ Regge pole. Some implications of one of the possible alternatives, namely the presence of a subtraction constant in the real part, are also discussed.
Riassunto
Si effettua un’analisi simultanea delle sezioni d’urto totali, delle parti reali, delle sezioni d’urto differenziali di scambio di carica in avanti e delle regole di somma ad energia finita per l’ampiezza di diffusione in avanti\(\pi {\mathcal{N}}\), per confrontare diversi modelli per la diffusione ad alta energia. Si trova che, accanto al polo di Regge del ρ, altre singolarità devono essere presenti nel pianoJ. Per una delle possibili alternative, e cioè la presenza di una costante di sottrazione nella parte reale, sono discusse alcune implicazioni.
Реэюме
Для сравнения нескольких раэличных моделей при высоких знергиях проводится одновременный аналиэ полных поперечных сечений, вешественных частей, дифференциальных поперечных сечений рассеяния вперед с переэарядкой и правил сумм при конечной знергии для кроссинг-нечетной\(\pi {\mathcal{N}}\) амплитуды рассеяния вперед. Получается, что необходимы другие сингулярности в J-плоскости, кроме полюса Редже ?. Также обсуждаются некоторые следствия одной иэ воэможных альтервнатив, а именно, наличие вычтательной постоянной в вешественной части.
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d’Angelo, S., Ferrari, E., Violini, G. et al. Results for the\(\pi {\mathcal{N}}\) crossing-odd forward-scattering amplitude from a new dispersion relation analysiscrossing-odd forward-scattering amplitude from a new dispersion relation analysis. Nuov Cim A 23, 658–668 (1974). https://doi.org/10.1007/BF02821982
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DOI: https://doi.org/10.1007/BF02821982