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The amplitudes for photoproduction of two pseudoscalars on a nucleon are expanded in the overall c.m. frame in a model independent way with respect to the contribution of the final state partial wave of total angular momentum $J$ and its…

Nuclear Theory · Physics 2015-06-03 A. Fix , H. Arenh"ovel

Applying the technique of partial-wave analysis, there are cases where more than one set of underlying complex-valued amplitudes can describe the measured observables. These ambiguities can sometimes be resolved using additional…

High Energy Physics - Phenomenology · Physics 2025-08-08 J. Guo , E. Barriga , K. Scheuer , A. Austregesilo , P. Eugenio , D. I. Glazier , B. Grube , W. Imoehl , C. A. Meyer , A. Ostrovidov , J. R. Stevens

Pseudoscalar-meson photoproduction is characterized by four complex reaction amplitudes. A complete set is a minimum theoretical set of observables that allow to determine these amplitudes unambiguously. It is studied whether complete sets…

Nuclear Theory · Physics 2015-06-18 Tom Vrancx , Jan Ryckebusch , Jannes Nys

Many measurements of pseudoscalar mesons with S = 0 photoproduced on the proton have been made recently. These new data are particularly useful in theoretical investigations of nucleon resonances. How the new data from various labs…

Nuclear Experiment · Physics 2019-08-14 M. Dugger

This work presents a simple method to determine the significant partial wave contributions to experimentally determined observables in pseudoscalar meson photoproduction. First, fits to angular distributions are presented and the maximum…

Data Analysis, Statistics and Probability · Physics 2020-09-22 Y. Wunderlich , F. Afzal , A. Thiel , R. Beck

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…

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…

Nuclear Theory · Physics 2025-02-21 A. Švarc

The possibilities of a model-independent partial wave analysis for pion, eta or kaon photoproduction are discussed in the context of complete experiments. It is shown that the helicity amplitudes obtained from at least 8 polarization…

Nuclear Theory · Physics 2012-11-19 Lothar Tiator

One of the remaining challenges within the standard model is to gain a good understanding of QCD in the non-perturbative regime. A key step towards this aim is baryon spectroscopy, investigating the spectrum and the properties of baryon…

Nuclear Experiment · Physics 2016-12-01 Jan Hartmann

Positivity constraints have proved to be important for spin observables of exclusive reactions involving polarized initial and final particles. Attention is focused in this note on the photoproduction of pseudoscalar mesons from spin 1/2…

Nuclear Theory · Physics 2008-11-26 Xavier Artru , Jean-Marc Richard , Jacques Soffer

The number and type of measurements needed to ascertain the amplitudes for pseudoscalar meson photoproduction are analyzed in this paper. It is found that 8 carefully selected measurements can determine the four transversity amplitudes…

Nuclear Theory · Physics 2008-11-26 Wen-Tai Chiang , Frank Tabakin

Spin-observables in pseudoscalar meson photoproduction is discussed. This work is complementary to the earlier works on this topic. Here, the reaction amplitude is expressed in Pauli-spin basis which allows to calculate all the observables…

Nuclear Theory · Physics 2019-09-04 K. Nakayama

The role of dynamics in spin observables for pseudoscalar meson photoproduction is investigated using a density matrix approach in a multipole truncated framework. Extraction of novel rules for $\gamma p \rightarrow \pi^+ n,~ K^+ \Lambda$…

Nuclear Theory · Physics 2016-09-08 Bijan Saghai , Frank Tabakin

Amplitude- and truncated partial-wave analyses are combined into a single procedure and a novel, almost theory-independent single-channel method for extracting multipoles directly from measured data is developed. In practice, we have…

Nuclear Theory · Physics 2021-01-04 A. Švarc , Y. Wunderlich , L. Tiator

An analysis of all possible polarization observables for the case of vector meson photoproduction from a nucleon target is presented. The question of which observables are needed to determine completely the basic photoproduction amplitudes…

Nuclear Theory · Physics 2016-09-08 Michael Pichowsky , Cetin Savkli , Frank Tabakin

Mathematical ambiguities in partial-wave analysis present a significant challenge to the extraction of resonance properties in hadronic reactions. Recent work has shown that while linear photon polarization can resolve continuous…

High Energy Physics - Phenomenology · Physics 2025-09-24 Derek I. Glazier , Vincent Mathieu

General expressions for the unpolarized differential cross section and for various polarization observables in the coherent pseudoscalar meson photo- and electroproduction on the deuteron target have been obtained in one-photon-exchange…

High Energy Physics - Phenomenology · Physics 2019-08-07 G. I. Gakh , A. G. Gakh , E. Tomasi-Gustafsson

The subject of this doctoral study is the pseudoscalar meson photoproduction from nuclei. Two types of processes are investigated in this regard: coherent and quasifree processes. In the case of the coherent process, we study it for the…

Nuclear Theory · Physics 2007-05-23 Laith Abu-Raddad

We propose a new method for measuring longitudinal amplitudes for electroproduction of pseudoscalar mesons that exploits a symmetry relation for polarization observables in parallel kinematics. This polarization technique does not require…

Nuclear Theory · Physics 2009-10-31 James J. Kelly

By exploiting the underlying symmetries of the relative phases of the pseudoscalar meson photoproduction amplitude, we determine all the possible sets of four double-spin observables that resolve the phase ambiguity of the amplitude in…

Nuclear Theory · Physics 2019-10-09 K. Nakayama