Complete Set of Observables in Pseudo-scalar Meson Photoproduction; Controversy Solved

Švarc, Alfred (2026) Complete Set of Observables in Pseudo-scalar Meson Photoproduction; Controversy Solved. Acta Physica Polonica B, 57 (2). ISSN 0587-4254

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Abstract

The long-standing debate over whether the complete set of observables in pseudo-scalar meson photoproduction consists of eight or merely four elements continues to persist. From the perspective of amplitude analysis, it is argued that all eight observables are necessary to completely determine the others. On the other hand, proponents of partial-wave analysis, working with theoretically precise data of infinite accuracy, claim that only four observables are needed. However, this claim is not acceptable from an experimental viewpoint, as all data in the real world contain some uncertainty. This paper illustrates that the controversy is artificial and is due to additional mathematical assumptions used in partial-wave analysis. Our research advances this discussion by moving from exact synthetic numerical data to also synthetic, but more realistic data in partial-wave analysis and shows that the claimed reduction in observables is unjustified. Consequently, the final conclusion is that the complete set of observables in pseudo-scalar meson photoproduction, whether using amplitude analysis or partial-wave analysis with practical data, must consist of eight observables.

Item Type:	Article
Uncontrolled Keywords:	pseudo-scalar meson photoproduction; amplitude analysis; partial-wave analysis
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Division of Experimental Physics
Depositing User:	Ana Zečević
Date Deposited:	20 May 2026 12:39
URI:	https://fulir.irb.hr:/id/eprint/11992
DOI:	10.5506/aphyspolb.57.2-a18

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