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On-mass-shell current algebra and pion-nucleon scattering

Алгебра токов на массовой поверхности и пион-нуклонное рассеяние

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Il Nuovo Cimento A (1965-1970)

Summary

PCAC, current algebra and a weak form of the isobaric model of the «current-nucleon amplitude» are used to calculate the subtraction functions to fixed-t dispersion relations for the invariant amplitudes describing pion-nucleon scattering, the scattered particlesnot being taken off their respective mass shells. The expressions so obtained are projected into partial waves and compared with the experimental information in the low-energy region (pion kinetic energy up to 500 MeV). The results are satisfactory.

Riassunto

Si usano PCAC, l'algebra delle correnti ed una forma debode del modello isobarico dell' «ampiezza nucleone-corrente» per calcolare le funzioni di sottrazione alle relazioni di dispersione at fisso per le ampiezze invarianti che descrivono lo scattering pionenucleone; non si prendono le particelle diffuse fuori dei loro rispettivi strati delle masse. Si proiettano le espressioni così ottenute in onde parziali e si confrontano con i dati sperimentali nella regione di bassa energia (energia cinetica del pione fino a 500 MeV). I risultati sono soddisfacenti.

Резюме

Используется РСАС, алгебра токов и слабая форма изобарической модели «ток-нуклонной амплитуды» для вычисления вычитательных функций к дисперсионным соотношениям при фиксированномt для инвариантных амплитуд, описывающих пион-нуклонное рассеяние, причем, рассеянные частицы не берутся вне их соответствующих массовых поверхностей. Выражения, полученные таким образом, проектируются в парциальные волны и сравниваются с экспериментальной информацией в области малых энергий (кинетнческая энергия пиона вллоть до 500 МэВ). Полученные результаты оказываются удовлетворительными.

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Author notes

  1. B. Carreras

    Present address: Junta de Energia Nuclear, Madrid, Spain

Authors and Affiliations

  1. Department of Natural Philosophy, University of Glasgow, Glasgow, USA

    B. Carreras

  2. CERN, Geneva, Switzerland

    A. De Rújula

Authors
  1. B. Carreras
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  2. A. De Rújula
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Carreras, B., De Rújula, A. On-mass-shell current algebra and pion-nucleon scattering. Nuovo Cimento A (1965-1970) 64, 1014–1032 (1969). https://doi.org/10.1007/BF02758847

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