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Partial wave amplitudes for production and decay of baryon resonances are constructed in the framework of the operator expansion method. The approach is fully relativistically invariant and allow us to perform combined analyses of different…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. V. Anisovich , E. Klempt , A. Sarantsev , U. Thoma

It has recently been proven that the invariance of observables with respect to angle dependent phase rotations of reaction amplitudes mixes multipoles changing also their relative strength [1]. All contemporary partial wave analyses (PWA)…

The new single-channel, single-energy partial wave analysis method based on a simultaneous use of amplitude and partial wave analysis called AA/PWA, developed and tested on $\eta$ photoproduction in ref. Svarc et al, PRC 102, 064609 (2020),…

Nuclear Theory · Physics 2022-03-14 A. Švarc , Y. Wunderlich , L. Tiator

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 modern state of the Pauli Exclusion Principle (PEP) is discussed. PEP can be considered from two viewpoints. On the one hand, it asserts that particles with half-integer spin (fermions) are described by antisymmetric wave functions, and…

Quantum Physics · Physics 2019-04-29 I. G. Kaplan

A partial wave analysis (PWA) of the of the $\eta \pi ^0$ system (where $\eta \to \gamma \gamma$) produced in the charge exchange reaction $\pi ^-p\to \eta \pi ^0n$ at an incident momentum of 18 GeV$/c$ is presented as a function of ${\eta…

New formulation of relativistic wave equations (RWE) for massive particles with arbitrary half-integer spins s interacting with external electromagnetic fields are proposed. They are based on wave functions which are irreducible tensors of…

High Energy Physics - Theory · Physics 2011-08-17 J. Niederle , A. G. Nikitin

Accuracy standards have been developed to ensure that the waveforms used for gravitational-wave data analysis are good enough to serve their intended purposes. These standards place constraints on certain norms of the frequency-domain…

General Relativity and Quantum Cosmology · Physics 2009-10-20 Lee Lindblom

We present a variation of quasi-isometry to approach the problem of defining a geometric notion equivalent to commensurability. In short, this variation can be summarized as "quasi-isometry with uniform parameters for a large enough family…

Group Theory · Mathematics 2010-06-01 Andreas Lochmann

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

Inspired by anomalies which the standard scattering matrix pole-extraction procedures have produced in a mathematically well defined coupled-channel model, we have developed a new method based solely on the assumption of partial-wave…

High Energy Physics - Phenomenology · Physics 2014-11-18 Sasa Ceci , Jugoslav Stahov , Alfred Svarc , Shon Watson , Branimir Zauner

Results of a partial wave analysis of new high-statistics data on $\gamma p\to p\eta$ from MAMI are presented. A fit using known broad resonances and only standard background amplitudes can not describe the relatively narrow peaking…

High Energy Physics - Phenomenology · Physics 2011-09-07 A. V. Anisovich , E. Klempt , V. Kuznetsov , V. A. Nikonov , M. V. Polyakov , A. V. Sarantsev , U. Thoma

The formalism devoted to the production of two pseudoscalar mesons with a linearly polarized photon beam has been detailed and illustrated in Phys. Rev. D100 (2019) 054017. This document reports the necessary formulas, without proof, to…

High Energy Physics - Phenomenology · Physics 2020-08-26 V. Mathieu

The theory of plasma physics offers a number of nontrivial examples of partial differential equations, which can be successfully treated with symmetry methods. We propose three different examples which may illustrate the reciprocal…

Mathematical Physics · Physics 2008-04-24 Giampaolo Cicogna , Francesco Ceccherini , Francesco Pegoraro

Lensless imaging methods that account for partial coherence have become very common in the past decade. However, there are no metrics in use for comparing partially coherent light fields, despite the widespread use of such metrics to…

Optics · Physics 2022-05-04 Abraham Levitan , Riccardo Comin

Measurements of angular correlations between initial and final particles in $\beta$ decay remain one of the most promising ways of probing the Standard Model and looking for new physics. As experiments reach unprecedented precision well…

Nuclear Theory · Physics 2020-10-07 Leendert Hayen , Albert R. Young

We present a new semiclassical technique which relies on replacing complicated classical manifold structure with simpler manifolds, which are then evaluated by the usual semiclassical rules. Under circumstances where the original manifold…

Chaotic Dynamics · Physics 2009-11-07 Jiri Vanicek , Eric J. Heller

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

Meson spectroscopy is going through a revival with the advent of high statistics experiments and new advances in the theoretical predictions. The Constituent Quark Model (CQM) is finally being expanded considering more basic principles of…

Nuclear Experiment · Physics 2015-06-17 Carlos W. Salgado , Dennis P. Weygand

This work is divided in two parts. In the first three sections we review the meson physics phenomenology, highlighting the history of the pseudoscalar multiplet mass spectra research. Then we propose a new approach for the mass mixing…

High Energy Physics - Phenomenology · Physics 2025-11-17 R. L. P. G. Amaral , V. E. R. Lemes , O. S. Ventura , L. C. Q. Vilar