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arXiv · 2306.17779

Ambiguities in Partial Wave Analysis of Two Spinless Meson Photoproduction

JPAC Collaboration·W. A. Smith·D. I. Glazier·V. Mathieu·M. Albaladejo·M. Albrecht·Z. Baldwin·C. Fernández-Ramírez·N. Hammoud·M. Mikhasenko·G. Montaña·R. J. Perry·A. Pilloni·V. Shastry·A. P. Szczepaniak·D. Winney
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Abstract

We describe the formalism to analyze the mathematical ambiguities arising in partial-wave analysis of two spinless mesons produced with a linearly polarized photon beam. We show that partial waves are uniquely defined when all accessible observables are considered, for a wave set which includes $S$ and $D$ waves. The inclusion of higher partial waves does not affect our results, and we conclude that there are no mathematical ambiguities in partial-wave analysis of two mesons produced with a linearly polarized photon beam. We present Monte Carlo simulations to illustrate our results.

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JPAC Collaboration, W. A. Smith, D. I. Glazier, V. Mathieu, M. Albaladejo, M. Albrecht, Z. Baldwin, C. Fernández-Ramírez, N. Hammoud, M. Mikhasenko, G. Montaña, R. J. Perry, A. Pilloni, V. Shastry, A. P. Szczepaniak, D. Winney. 2023-06-30. Ambiguities in Partial Wave Analysis of Two Spinless Meson Photoproduction. https://arxiv.org/abs/2306.17779

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