Summary
By using a model unitarity dynamical scheme we analyse various possible energy behaviours of the resonance widths at high energy. Correspondingly Re α(s) is calculated. Moreover in our model it is also found that a linear trajectory may only result in the limit of vanishing pion mass.
Riassunto
Partendo da una dinamica approssimata fornita da una unitarietà modello noi studiamo diversi possibili andamenti nella larghezza delle risonanze in funzione dell'energia ed in corrispondenza calcoliamo anche Re α(s). Si trova inoltre in questo modello che le traiettorie rettilinee sono un caso particolare ottenibile ponendo uguale a zero la massa del pione.
Резюме
Используя модельную унитарную динамическую схему, мы анализируем различные возможные энергетические поведения резонансных ширин при высокой энергии. Вычисляется Re α(s). Кроме того, в нашей модели также получается, что линейная траектория может возникнуть только в пределе исчезающе малой массы пиона.
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Referenes
R. J. Eden, P. V. Landshoff, D. I. Olive andJ. C. Polkinghorne:The Analytic S-Matrix (London).
S. Mandelstam:Phys. Rev.,166, 1539 (1968).
M. L. Paciello, L. Sertorio andB. Taglienti:Nuovo Cimento,65 A, 167 (1970).
S. Fubini andG. Veneziano: M.I.T. preprint.
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This research has been sponsored in part by the Air Force Office of Scientific Research, through the European Office of Aerospace Research OAR, United States Air Force, under contract f 61 05267 C 0084.
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Paciello, M.L., Taglienti, B. & Sertorio, L. Further remarks on the high-energy behaviour of resonance poles in the complex plane. Nuovo Cimento A (1965-1970) 67, 553–573 (1970). https://doi.org/10.1007/BF02728540
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DOI: https://doi.org/10.1007/BF02728540