Il Nuovo Cimento A (1965-1970)

, Volume 64, Issue 4, pp 1014–1032 | Cite as

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

  • B. Carreras
  • A. De Rújula


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.


Form Factor Partial Wave Current Algebra Nucleon Form Factor Scalar Form Factor 
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Алгебра токов на массовой поверхности и пион-нуклонное рассеяние


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.


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.


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Copyright information

© Società Italiana di Fisica 1969

Authors and Affiliations

  • B. Carreras
    • 1
  • A. De Rújula
    • 2
  1. 1.Department of Natural PhilosophyUniversity of GlasgowGlasgowUSA
  2. 2.CERNGenevaSwitzerland

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