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Partial-wave analyses (PWA) are an essential tool for studying resonance structures in decays with hadronic multi-body final states. For several years, more model-independent approaches to such analyses have been used for various decay…

High Energy Physics - Phenomenology · Physics 2021-09-07 Fabian Michael Krinner , Stephan Paul

In the gauge theory context, a definition of branching ratios and partial widths of unstable particles is proposed that satisfies the basic principles of additivity and gauge independence. A simpler definition, similar to the conventional…

High Energy Physics - Theory · Physics 2009-10-31 P. A. Grassi , B. A. Kniehl , A. Sirlin

This dissertation treats the problem of complete experiments for pseudoscalar meson photoproduction, in the context of a truncated partial-wave analysis (TPWA). The work contains algebraic and numerical considerations. The influence of…

Nuclear Theory · Physics 2020-08-04 Yannick Wunderlich

Reconstruction of the fundamental supersymmetric theory and its breaking mechanism will require high-precision tools. Here a brief introduction to SPA, the Supersymmetry Parameter Analysis (SPA) Convention and Project, is presented which is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jan Kalinowski

We construct a formalism which describes the resonances decaying into four pseudoscalar meson final states. This method is fully covariant and can be directly applied for the partial-wave analysis of high statistical data. Two topologies of…

High Energy Physics - Phenomenology · Physics 2025-05-23 M. A. Matveev , A. T. Sitnikov , A. V. Sarantsev

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

Recently BES2 collaboration observed an enhancement near the $p\bar p$ invariant mass spectrum. Using the covariant tensor formalism, here we provide theoretical formulae for the partial wave analysis (PWA) of the $\psi$ radiative decay…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sayipjamal Dulat , BoChao Liu , BingSong Zou , JiMin Wu

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

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…

Ambiguities in pseudoscalar-meson photoproduction, arising from incomplete experimental data, have analogs in pion-nucleon scattering. Amplitude ambiguities have important implications for the problems of amplitude extraction and resonance…

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

Semi-analytical methods, such as rigorous coupled wave analysis, have been pivotal for numerical analysis of photonic structures. In comparison to other methods, they offer much faster computation, especially for structures with constant…

Numerical Analysis · Mathematics 2022-10-03 Ziwei Zhu , Changxi Zheng

We study the two-body decay of mesons using the covariant helicity formalism. We find that to explain the ratio of partials wave amplitudes (PWAs) of the decay, the Lagrangian must include derivative interactions in addition to contact…

High Energy Physics - Phenomenology · Physics 2021-12-28 Vanamali Shastry

From the turbulent interstellar medium to the cosmic web, astronomers in many different fields have needed to make sense of spatial data describing our Universe. Through different historical choices for mathematical conventions, many…

Instrumentation and Methods for Astrophysics · Physics 2025-06-04 Benjamin Metha , Sabrina Berger

A truncated partial wave analysis for the photoproduction of two pseudoscalar mesons on a nucleon is discussed with respect to the determination of a complete set of observables. For the selection of such a set we have applied a criterion…

Nuclear Theory · Physics 2015-06-15 A. Fix , H. Arenhoevel

Partial-wave analysis is one step in a process connecting experimental measurements to the N* states we are studying. Progress has been made in the area of `model-independent' analysis. However, more model-dependent approaches are needed to…

Nuclear Theory · Physics 2017-08-23 Ron Workman

The azimuthally symmetric WASA detector and the polarised proton beam of COSY, enable investigations of energy and angular dependence of the beam analysing power in the pp --> ppeta reaction. The aim of the studies is the determination of…

Nuclear Experiment · Physics 2011-06-02 Pawel Moskal , Malgorzata Hodana

Simple rules of thumb are derived for the precision with which s-wave and p-wave thresholds can be determined by a series of equally spaced cross section mesasurements near threshold. Backgrounds and beam spreads are ignored.

High Energy Physics - Experiment · Physics 2007-05-23 Robert N. Cahn

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 give a comprehensive analysis of interrelations between the basic concepts of the modern theory of symmetry (classical and non-classical) reductions of partial differential equations. Using the introduced definition of reduction of…

Mathematical Physics · Physics 2010-11-03 Renat Z. Zhdanov , Ivan M. Tsyfra , Roman O. Popovych

Experiments that study the photoproduction of pseudoscalar mesons; pions, etas and kaons, have the potential to increase our knowledge of baryon and hyperon resonance properties. Recent experiments at JLab, Mainz, GRAAL, and Bonn are…

Nuclear Experiment · Physics 2009-11-07 R. A. Arndt , W. J. Briscoe , G. V. O'Rielly , I. I. Strakovsky , R. L. Workman
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