Lower bounds on the total cross section and the slope parameter for some measurable sequences of <i>s</i>→∞

DOI

書誌事項

公開日
1978-02-01
DOI
  • 10.1063/1.523659
公開者
AIP Publishing

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説明

<jats:p>The lower bounds on the total cross section and the slope parameter are obtained on the basis of the analyticity and polynomial upper boundedness of the scattering amplitude and the unitarity of the S matrix: σtot⩽Cs−6 (log s)−2, B⩽Cs−5(log s)−4 for some measurable sequences of s→∞. These bounds hold for any t in 0?t&lt;4m2π. It is unnecessary in order to obtain our bounds that the scattering amplitude has the crossing even property. If we assume this property, we can suppress the logarithmic factors of our bounds. Also we obtain our lower bounds for any sequence of s→∞, if we take the average scattering amplitude.</jats:p>

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詳細情報 詳細情報について

  • CRID
    1871428067752391552
  • DOI
    10.1063/1.523659
  • ISSN
    10897658
    00222488
  • 本文言語コード
    en
  • データソース種別
    • OpenAIRE

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