The ππ total cross section: Its scale and massless pion limit

M. R. Pennington, Carl Rosenzweig

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

The question of the scale of the ππ total cross section is considered. We first give a simple intuitive argument for expecting cross sections in the massless chiral world to be finite. Assuming the universality of P-f Regge couplings, we give a simple dispersion theoretic evaluation of the asymptotic ππ total cross section, σππ. We deduce an algebraic expression for σππ and find that its scale is determined by 1/mρ{variant}2 or, equivalently, 1/f{hook}π2 - just as Pagels conjectured. This relation has a smooth, finite limit as mπ tends to zero. Numerically, we obtain σππ = 17 ± 4 mb for physical mass pions and 14 ± 3 mb for massless pions.

Original languageEnglish (US)
Pages (from-to)305-316
Number of pages12
JournalNuclear Physics, Section B
Volume57
Issue number1
DOIs
StatePublished - Jun 18 1973

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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