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Il Nuovo Cimento A (1965-1970)

, Volume 69, Issue 4, pp 651–664 | Cite as

High-spin dual vertex and total widths on the leading trajectory

  • J. C. Gallardo
  • E. J. Galli
Article
  • 28 Downloads

Summary

A general three-resonance dual vertex with one of the legs being a normal-parity spin-j particle (leading trajectory) is constructed assuming a local coupling with the current carried by the constituents, quarks, of a hadron. This leads to results similar to those obtained by factorization of theN-point dual amplitude. This vertex is used to study the total widths of resonances along the leading trajectory. We have carried out an explicit numerical computation of the first four widths. We cannot make yet any statement about the asymptotic behavior of the widths but our results are not in disagreement with experimental indications, namely they slowly decrease as a function ofM2 in the energy region considered.

Keywords

Total Width Vertex Function External Particle Triangle Graph Veneziano Amplitude 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Дуальная вершина для высших спинов и полные ширины на главной траектории

Резюме

Конструируется общая трех-резонансная дуальная вершина, один из концов которой представляет частицу с нормальной четностью и спиномj (главная траекторня), предполагая локальную связь с током, переносимым составными частями адрона, кварками. Это приводит к результатам, которые аналогичны результатам, полученным благодаря факторизацииN-точечной дуальной амплитуды. Эта вершина используется для изучения полных ширин резонансов вдоль главной траектории. Мы провели точное численное вычисление первых четырех ширин. Мы еще не можем сделать какого-либо утверждения относительно асимптотического поведения ширин, но наши результаты не противоречат экспериментальным данным, а именно, они медленно уменьшаются, как функцияM2 в рассмотренной области энергий.

Riassunto

Si construisce un vertice duale a tre risonanze con uno dei rami che rappresenta una particella di spinj a parità normale (traiettoria principale), supponendo un accoppiamento locale con la corrente portata dai costituenti, quark, di un adrone. Si giunge così a risultati simili a quelli ottenuti con la fattorizzazione dell'ampiezza duale diN punti. Si usa questo vertice per studiare le ampiezze totali delle risonanze lungo la traiettoria principale. Si è condotto un calcolo numerico esplicito delle prime quattro ampiezze. Non si può ancora dire niente sul comportamento asintotico delle ampiezze, ma i risultati ottenuti non sono in disaccordo con i risultati sperimentali, infatti decrescono lentamente in funzione diM2 nella regione di energia considerata.

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Copyright information

© Società Italiana di Fisica 1970

Authors and Affiliations

  • J. C. Gallardo
    • 1
  • E. J. Galli
    • 1
  1. 1.Belfer Graduate School of ScienceYeshiva UniversityNew York

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