Ambiguities in partial wave analysis of two spinless meson photoproduction

Open Access

Ambiguities in partial wave analysis of two spinless meson photoproduction

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, and D. Winney (Joint Physics Analysis Center)

Phys. Rev. D 108, 076001 – Published 3 October 2023

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.

1 More

Received 7 July 2023
Accepted 3 August 2023

DOI:https://doi.org/10.1103/PhysRevD.108.076001

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Scattering amplitudes

Exotic mesons

Nuclear Physics

Authors & Affiliations

W. A. Smith ^1,2,*, D. I. Glazier ³, V. Mathieu ^4,5, M. Albaladejo ⁶, M. Albrecht ⁷, Z. Baldwin ⁸, C. Fernández-Ramírez ^9,10, N. Hammoud ¹¹, M. Mikhasenko ^12,13, G. Montaña ¹⁴, R. J. Perry ⁴, A. Pilloni ^15,16, V. Shastry ^1,2, A. P. Szczepaniak ^1,2,14, and D. Winney ^17,18 (Joint Physics Analysis Center)

¹Department of Physics, Indiana University, Bloomington, Indiana 47405, USA
²Center for Exploration of Energy and Matter, Indiana University, Bloomington, Indiana 47403, USA
³School of Physics and Astronomy, University of Glasgow, Glasgow, G12 8QQ, United Kingdom
⁴Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos, Universitat de Barcelona, E-08028 Barcelona, Spain
⁵Departamento de Física Teórica, Universidad Complutense de Madrid and IPARCOS, E-28040 Madrid, Spain
⁶Instituto de Física Corpuscular (IFIC), Centro Mixto CSIC-Universidad de Valencia, E-46071 Valencia, Spain
⁷Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA
⁸Department of Physics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, USA
⁹Departamento de Física Interdisciplinar, Universidad Nacional de Educación a Distancia (UNED), E-28040 Madrid, Spain
¹⁰Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Ciudad de México 04510, Mexico
¹¹Institute of Nuclear Physics, Polish Academy of Sciences, PL-31-342 Kraków, Poland
¹²ORIGINS Excellence Cluster, D-80939 Munich, Germany
¹³Ludwig-Maximilians-Universität, D-80539 Munich, Germany
¹⁴Theory Center, Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA
¹⁵Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università degli Studi di Messina, I-98122 Messina, Italy
¹⁶INFN Sezione di Catania, I-95123 Catania, Italy
¹⁷Guangdong Provincial Key Laboratory of Nuclear Science, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China
¹⁸Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center, South China Normal University, Guangzhou 510006, China

^*smithwya@iu.edu

Article Text

Click to Expand

References

Click to Expand

Issue

Vol. 108, Iss. 7 — 1 October 2023

Reuse & Permissions

Author publication services for translation and copyediting assistance advertisement

Physical Review D

covering particles, fields, gravitation, and cosmology