Ambiguity in the line shape of scattering amplitude

Authors

  • Leonarc Michelle Santos ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Denny Lane B. Sombillo ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The scattering amplitude is typically approximated using some parametrization scheme that can be analytically continued to the complex energy plane, thereby allowing us to determine the nature of enhancement. However, some parametrizations put strong restrictions on the possible number of poles that can be present in different Riemann sheets. We show in this paper that one cannot hastily conclude the nature of enhancement by simply looking at the line shape of only one of the scattering channels. The ambiguity can be addressed if the contribution of the other channels with the same final state is added to the full scattering cross-section.

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Issue

Article ID

SPP-2022-PB-07

Section

Poster Session B (Complex Systems, Simulations, and Theoretical Physics)

Published

2022-09-11

How to Cite

[1]
LM Santos and DLB Sombillo, Ambiguity in the line shape of scattering amplitude, Proceedings of the Samahang Pisika ng Pilipinas 40, SPP-2022-PB-07 (2022). URL: https://proceedings.spp-online.org/article/view/SPP-2022-PB-07.