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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/034/03/0183-0192

    • Keywords

       

      Scattering theory; S matrix; resonance poles; Δ (1232) resonance; Breit-Wigner formula; shadow poles

    • Abstract

       

      We show how the position and residue of theS matrix pole can remain stable under changes in the form of the parametrization of theS matrix elements. We also derive a relation among the shifts in the Breit-Wigner resonance parameters under the same changes and verify the relation numerically for the case of Δ(1232). Despite its stability, the pole does not provide a unique definition of the resonance because of the existence of shadow poles.

    • Author Affiliations

       

      G Rajasekaran1 2 3 S S Vasan2 3

      1. Department of Theoretical Physics, University of Madras, Guindy Campus, Madras - 600025, India
      2. Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400 005, India
      3. the Institute of Mathematical Sciences, Madras - 600 013, India

    • Dates

       
      Published
      March 1990
      Manuscript received
      5 June 1989
      Manuscript revised
      4 December 1989

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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