Stability of the S matrix pole

Rajasekaran, G. ; Vasan, S. S. (1990) Stability of the S matrix pole Pramana - Journal of Physics, 34 (3). pp. 183-192. ISSN 0304-4289

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We show how the position and residue of the S matrix pole can remain stable under changes in the form of the parametrization of the S 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.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Scattering Theory; S Matrix; Resonance Poles; Δ(1232) Resonance; Breit-wigner Formula; Shadow Poles
ID Code:41094
Deposited On:26 May 2011 11:47
Last Modified:17 May 2016 22:57

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