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Il Nuovo Cimento A (1965-1970)

, Volume 61, Issue 1, pp 105–113 | Cite as

General distribution of hadron transverse-momentum Gaussian cross-sections that are asymptotic exponentials

  • M. M. Nieto
Article

Summary

Reviews of elastic and inelastic hadron scattering data are discussed; they indicate (dσ/dt) is universally in the form of a superposition of Gaussians (in a transverse-momentum variablex) that is an asymptotic exponential. After discussing two previous models, we use the method of asymptotic exapansions to show that a massm. superposition (dσ/dt) m -F(x) exp [−f(m) x2] with a distribution functionG(m) exp [−g(m)] will yield an asymptotic exponential inx ifg(m)=K2/f(m). Experimental and theoretical implications are discussed.

Keywords

Transverse Momentum Quark Model Gaussian Width Naam Elastic Data 
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.

Овщее распределение гауссовских дифференциальных сечений по поперечному импулясу адроноб, имеющих экспоненциальную асимптотику

Резюме

Проводится обзор данных по упругому и неупругому рассеянию адронов; данные указывают, что dσ/dt в наиболее общем виде представляется как суперпозиция гауссовских членов (по величине поперечного импульсаx), асимптотически представляюшая экспоненту. После обсуждения двух предыдущих моделей, используется метод асимптотических разложений, чтобы показатя, что суперпозиция масс (m) (dσ/dt)m=F(x) exp [−f(m)x2] с функцией распределенияG(m)·exp [−g(m)] дает экспоненциальную асимптотику поx, еслиg(m)=K2/f(m). Обсуждаются экспериментальные и теоретические следствия.

Riassunto

Si discutono le analisi dei dati dello scattering elastico ed inelastico degli adroni; essi indicano che dσ/dt è sempre nella forma di una sovrapposizione di gaussiane (nella variabilex della quantità di moto trasversale), e cioè nella forma di un esponenziale asintotico. Dopo aver discusso due modelli precedenti, si usa il metodo dello sviluppo asintotico per dimostrare che una sovrapposizione della massa (m) (dσ/dt)m =F(x) exp [−f(m)x2] con una funzione di distribuzioneG(m) exp [−g(m)] fornisce un esponenziale asintotico inx seg(m)=K2/f(m). Si discutono le implicazioni sperimentali e teoriche.

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Copyright information

© Società Italiana di Fisica 1969

Authors and Affiliations

  • M. M. Nieto
    • 1
  1. 1.The Niels Bohr InstituteUniversity of CopenhagenCopenhagen

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