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Title of Journal: Nuov Cim A

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Abbravation: Il Nuovo Cimento A (1965-1970)

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Società Italiana di Fisica

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DOI

10.1007/978-981-10-0036-2_8

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1826-9869

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Nonregge and hyperregge effects in pionnucleon

Authors: D Joynson E Leader B Nicolescu C Lopez
Publish Date: 2007/10/24
Volume: 30, Issue: 3, Pages: 345-384
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Abstract

The experimental data on the charge exchange differential crosssection and on the difference of the π+p and π−p total crosssections in the rangep L =5 GeV/c to 200 GeV/c are shown to be incompatible with conventional Regge asymptotic behaviour It is shown that an additional term is required which grows in importance with energy The precise form of the new term cannot be ascertained but it is shown that it corresponds to a singularity atJ =1 in the complexangularmomentum plane Amongst the possible types of additional term there are two which are aesthetically favoured and which have been closely analysed These correspond to i a nonRegge behaviour associated with the maximal growth permitted in axiomatic field theory ii a «hyperRegge» termie an oddsignatured Regge pole the analogue of the pomeron pole with interceptα =1 att =0 Very striking predictions in particular for the charge exchange polarization follow as a consequence of the nonRegge or hyperRegge asymptotic behaviour of the crossingodd amplitudeПокаэывается что зкспериментальные данные для дифференциального сечения переэарядки и для раэности полных поперечных сечений π+p и π−p в области Рь =5 ÷ 200 ГзВ/с несовместимы с обшепринятым асимптотическим поведением Редже Покаэывается что требуется дополнительный член важность которого воэрастает с знергией Точное выражение для зтого нового члена не может быть установлено но покаэывается что зтот член соответствует сингулярности при J =1 в плоскости комплексного момента Среди воэможных типов дополнительного члена сушествуют два которые являются предпочтительными с зстетической точки эрения Проводится подробный аналиэ зтих типов членов Эти выражения соответствуют 1 «неРедже» поведению свяэанному с максимальным ростом допустимым в аксиоматической теории поля 2 « гиперРедже » члену те Редже полюсу с нечетной сигнатурой аналогу полюса Померанчука с пересечением α=1 при t=0 В частности для поляриэации в процессе переэарядки получаются наиболее пораэительные предскаэания которые являются следствием «неРедже» или «гиперРедже» асимптотилеского поведения «кроссингнечетной» амплитудыSi mostra che i dati sperimentali sulla sezione d’urto differenziale di scambio di carica e sulla differenza delle sezioni d’urto totali π+p e π−p nell’intervalloP L =5 GeV/c a 200 GeV/c sono incompatibili con il comportamento asintotico di Regge convenzionale Si mostra che è necessario un termine addizionale la cui importanza cresce con l’energia La forma esatta del nuovo termine non può essere accertata ma si dimostra che essa corrisponde ad una singolarità perJ =1 nel piano del momento angolare complesso Tra i tipi possibili del termine addizionale ce ne sono due che sono favoriti esteticamente e che sono stati analizzati a fondo Essi corrispondono i ad un comportamento non di Regge associato alla crescita massima permessa nella teoria assiomatica dei campi ii ad un termine di iperRegge cioè un polo di Regge con segno dispari l’analogo del polo del pomerone con intercetta α =1 pert =0 Predizioni molto sorprendenti in particolare per la polarizzazione di scambio di carica seguono in conseguenza del comportamento asintotico non di Regge o di iperRegge dell’ampiezza dispari per incrocio

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