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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

[Background] A complete set is a minimum set of observables which allows one to determine the underlying reaction amplitudes unambiguously. Pseudoscalar-meson photoproduction from the nucleon is characterized by four such amplitudes and…

Nuclear Theory · Physics 2013-05-29 Tom Vrancx , Jan Ryckebusch , Tom Van Cuyck , Pieter Vancraeyveld

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

A complete set for pseudoscalar-meson photoproduction is a minimum set of observables from which one can determine the underlying reaction amplitudes unambiguously. The complete sets considered in this work involve single- and…

Nuclear Theory · Physics 2015-06-23 Jannes Nys , Tom Vrancx , Jan Ryckebusch

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 problem of determining completely the spin amplitudes of photoproduction of two pseudoscalar mesons on a nucleon from observables is studied. The procedure of reconstruction of the scattering matrix elements from a complete set of…

Nuclear Theory · Physics 2015-06-18 H. Arenhoevel , A. Fix

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

We review the development of the most general analytic form of the cross section, dependent upon the three polarization vectors of the beam, target and recoil baryon, including all single, double and triple-polarization terms involving 16…

Nuclear Theory · Physics 2015-03-17 A. M. Sandorfi , S. Hoblit , H. Kamano , T. -S. H. Lee

We consider the problem of determining amplitudes from observables for the case of pseudoscalar meson photoproduction. We find a number of surprisingly simple constraints which give necessary conditions for a complete set of measurements.…

Nuclear Theory · Physics 2008-11-26 Greg Keaton , Ron Workman

For photoproduction reactions with final states consisting of two pseudoscalar mesons and a spin-1/2 baryon, 8 complex amplitudes need to be determined uniquely. A modified version of Moravcsik's theorem is employed for these reactions,…

Nuclear Theory · Physics 2021-01-13 Philipp Kroenert , Yannick Wunderlich , Farah Afzal , Annika Thiel

The problem of extracting photoproduction amplitudes uniquely from so called complete experiments is discussed. This problem can be considered either for the extraction of full production amplitudes, or for the determination of multipoles.…

Nuclear Theory · Physics 2020-09-25 Yannick Wunderlich

A theoretical formalism leading to elegant derivation of formulae for all spin observables is outlined for photo production of mesons with arbitrary spin parity $s^{\pi}$. The salient features of this formalism based on irreducible tensor…

Nuclear Theory · Physics 2008-11-26 G. Ramachandran , M. S. Vidya , J. Balasubramanyam

The complete experiment problem in the truncated partial wave analysis of pseudoscalar meson photoproduction with suppressed t-channel exchanges is investigated. The focus is set to ambiguities of the group S observables with the…

Nuclear Theory · Physics 2020-09-22 Y. Wunderlich , R. Beck , L. Tiator

The complete experiment problem for photoproduction of single pseudoscalar mesons is reviewed briefly. If this problem is investigated in the context of a truncated partial wave analysis, the chance emerges to obtain a unique multipole…

Nuclear Theory · Physics 2014-03-05 Y. Wunderlich

A set of 13 linearly independent invariant amplitudes for the electromagnetic production of a pseudoscalar particle from a spin-one particle is derived which respect Lorentz and gauge invariance. The $T$-matrix can be represented by a…

Nuclear Theory · Physics 2009-10-31 Hartmuth Arenhoevel

In preparation for the extraction of pseudoscalar meson photo-production amplitudes from a new generation of complete experiments, we assemble the relations between experimental observables and the Chew-Goldberger-Low-Nambu amplitudes. We…

Nuclear Theory · Physics 2010-10-26 A. M. Sandorfi , S. Hoblit , H. Kamano , T. -S. H. Lee

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

The LEPS/SPring-8 experiment made a comprehensive measurement of the spin-density matrix elements for $\gamma p \to \phi p$, $\gamma d \to \phi p n$ and $\gamma d \to \phi d$ at forward production angles. A linearly polarized photon beam at…

It is shown that within a truncated partial wave analysis for photoproduction of two pseudoscalar mesons, it is possible to halve the number of independent partial amplitudes by taking into account parity conservation. In addition, within…

Nuclear Theory · Physics 2022-09-14 A. Fix , I. Dementjev

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
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