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The purpose of this note is to point out ambiguities that appear in the calculation of angular momentum and its radiated counterpart when some simple formulae are used to compute them. We illustrate, in two simple different examples, how…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Emanuel Gallo , Luis Lehner , Osvaldo M. Moreschi

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

There is an unsettled problem in choosing the correct expressions for the local momentum density and angular momentum density of electromagnetic fields (or indeed, of any non-scalar field). If one only examines plane waves, the problem is…

Optics · Physics 2022-10-03 Andrei Afanasev , Carl E. Carlson , Asmita Mukherjee

A formalism is developed for the partial wave analysis of data on meson photoproduction off deuterons and applied to photoproduction of $\eta$ and $\pi^0$ mesons. Different interpretations of a dip-bump structure of the $\eta$…

High Energy Physics - Phenomenology · Physics 2009-07-22 A. V. Anisovich , I. Jaegle , E. Klempt , B. Krusche , V. A. Nikonov , A. V. Sarantsev , U. Thoma

We derive a full set, and determine the twist, of helicity amplitudes for diffractive production of light to heavy vector mesons in deep inelastic scattering. For large $Q^{2}$ all helicity amplitudes but the double-flip are calculable in…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. V. Kuraev , N. N. Nikolaev , B. G. Zakharov

Partial wave analysis is an important tool for analyzing large data sets in hadronic decays of light and heavy mesons. It commonly relies on the isobar model, which assumes multihadron final states originate from successive two-body decays…

High Energy Physics - Phenomenology · Physics 2018-06-13 F. Krinner , D. Greenwald , D. Ryabchikov , B. Grube , S. Paul

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 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

Recent advances in the photon tagging facilities together with the novel, high resolution fast calorimetry made possible to perform photoproduction cross section measurements of pseudoscalar mesons on nuclei with a percent level accuracy.…

High Energy Physics - Phenomenology · Physics 2015-05-13 S. Gevorkyan , A. Gasparian , L. Gan , I. Larin , M. Khandaker

Diffractive vector meson photoproduction accompanied by proton dissociation is studied for large momentum transfer. The process is described by the non-forward BFKL equation, for which a complete analytical solution is found. The scattering…

High Energy Physics - Phenomenology · Physics 2009-11-10 R. Enberg , J. R. Forshaw , L. Motyka , G. Poludniowski

Analyticity constitutes a rigid constraint on hadron scattering amplitudes. This property is used to relate models in different energy regimes. Using meson photoproduction as a benchmark, we show how to test contemporary low energy models…

High Energy Physics - Phenomenology · Physics 2017-08-28 JPAC Collaboration , V. Mathieu , J. Nys , A. Pilloni , C. Fernández-Ramírez , A. Jackura , M. Mikhasenko , V. Pauk , A. P. Szczepaniak , G. Fox

Hoehler noted that resonance poles obtained from different partial waves in $\pi N$ scattering appear to bunch together near a small set of common complex energies, and suggested that this could indicate mixing between angular momenta.…

Nuclear Theory · Physics 2026-04-30 A. Svarc

The light-meson spectrum can be studied by analyzing data from diffractive dissociation of pion or kaon beams. The contributions of the various states that are produced in these reactions are disentangled by the means of partial-wave…

High Energy Physics - Experiment · Physics 2019-12-23 Florian M. Kaspar , Boris Grube , Fabian Krinner , Stephan Paul , Stefan Wallner

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

It is a long-standing problem in general relativity that the notion of angular momentum of an isolated system has supertranslation ambiguity. In this paper, we argue that the ambiguity is essentially because of the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Pujian Mao , Jun-Bao Wu , Xiaoning Wu

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

A problem of amplitude reconstruction in terms of the given angular distribution is considered. Solution of this problem is not unique. A class of amplitudes, correspondent to one and the same angular distribution, forms a region in…

High Energy Physics - Phenomenology · Physics 2007-05-23 I. N. Nikitin

The supertranslation ambiguity issue of angular momentum is a long-standing problem in general relativity. Recently, there appeared the first definition of angular momentum at null infinity that is supertranslation invariant. However, in…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Xiaokai He , Xiaoning Wu , Naqing Xie

We study the excitation spectrum of light and strange mesons in diffractive scattering. We identify different hadron resonances through partial wave analysis, which inherently relies on analysis models. Besides statistical uncertainties,…

High Energy Physics - Experiment · Physics 2025-03-31 Julien Beckers , Florian Kaspar , Jakob Knollmüller

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