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Stability of theS matrix pole

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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.

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Rajasekaran, G., Vasan, S.S. Stability of theS matrix pole. Pramana - J Phys 34, 183–192 (1990). https://doi.org/10.1007/BF02845762

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  • DOI: https://doi.org/10.1007/BF02845762

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