A proof of the existence of functions that satisfy exactly both crossing and unitarity (II) charged pions. No subtractions

D. Atkinson

doi:10.1016/0550-3213(68)90250-2

A proof of the existence of functions that satisfy exactly both crossing and unitarity (II) charged pions. No subtractions

D. Atkinson

Research output: Contribution to journal › Article › Academic › peer-review

25 Citations (Scopus)

Abstract

The contraction mapping principle is used to show that there exist pion-pion scattering amplitudes that satisfy the Mandelstam representation with full crossing symmetry between the three channels, elastic unitarity between the elastic and inelastic thresholds, and the inelastic unitarity inequalities above the latter.

Original language	English
Pages (from-to)	377-390
Number of pages	14
Journal	Nuclear Physics B
Volume	B 8
Issue number	2
DOIs	https://doi.org/10.1016/0550-3213(68)90250-2
Publication status	Published - 1968
Externally published	Yes

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10.1016/0550-3213(68)90250-2

Cite this

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title = "A proof of the existence of functions that satisfy exactly both crossing and unitarity (II) charged pions. No subtractions",

abstract = "The contraction mapping principle is used to show that there exist pion-pion scattering amplitudes that satisfy the Mandelstam representation with full crossing symmetry between the three channels, elastic unitarity between the elastic and inelastic thresholds, and the inelastic unitarity inequalities above the latter.",

author = "D. Atkinson",

year = "1968",

doi = "10.1016/0550-3213(68)90250-2",

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AB - The contraction mapping principle is used to show that there exist pion-pion scattering amplitudes that satisfy the Mandelstam representation with full crossing symmetry between the three channels, elastic unitarity between the elastic and inelastic thresholds, and the inelastic unitarity inequalities above the latter.

U2 - 10.1016/0550-3213(68)90250-2

DO - 10.1016/0550-3213(68)90250-2

M3 - Article

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SP - 377

EP - 390

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0920-5632

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