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We compare the low-energy partial wave analyses $\pi N$ scattering with a high-energy data via finite energy sum rules. We construct a new set of amplitudes by matching the imaginary part from the low-energy analysis with the high-energy,…

High Energy Physics - Phenomenology · Physics 2018-04-30 V. Mathieu , I. V. Danilkin , C. Fernández-Ramírez , M. R. Pennington , D. Schott , A. P. Szczepaniak , G. Fox

The photoacoustic signal in a closed T-cell resonator is generated and measured using laser based photoacoustic spectroscopy. The signal is modelled using the amplitude mode expansion method, which is based on eigenmode expansion and…

Instrumentation and Detectors · Physics 2019-03-28 Said El-Busaidy , Bernd Baumann , Marcus Wolff , Lars Duggen , Henry Bruhns

Unconstrained partial-wave amplitudes obtained at discrete energies from fits to complete sets of experimental data may not vary smoothly with energy, and are in principle non-unique. We demonstrate how this behavior can be ascribed to the…

We use compressed sensing to demonstrate theoretically the reconstruction of sub-wavelength features from measured far-field, and provide experimental proof-of-concept. The methods can be applied to non-optical microscopes, provided the…

Optics · Physics 2015-05-14 Snir Gazit , Alexander Szameit , Yonina C. Eldar , Mordechai Segev

In these proceedings some facts about resonances are discussed focussing on the analytic properties of resonant amplitudes with special emphasis on model independent analyses. As an illustrative example of the latter point the decays B and…

High Energy Physics - Phenomenology · Physics 2016-06-22 C. Hanhart

A truncated partial-wave analysis is performed for $\eta$-photoproduction using the polarization observables $\sigma_0, \Sigma, T, E, F$ and $G$. Different truncation orders are analyzed for six energy bins within the range of…

Nuclear Theory · Physics 2024-04-12 Philipp Kroenert , Yannick Wunderlich , Farah Afzal , Annika Thiel

Partial wave amplitudes of meson photoproduction reactions are an important source of information in baryon spectroscopy. We investigate a new approach in single-energy partial wave analyses of these reactions. Instead of using a constraint…

[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

We present a new approach to the reduction of one-loop amplitudes obtained by reconstructing the tensorial expression of the scattering amplitudes. The reconstruction is performed at the integrand level by means of a sampling in the…

High Energy Physics - Phenomenology · Physics 2010-11-08 G. Heinrich , G. Ossola , T. Reiter , F. Tramontano

First, a misconception about the spectrum of a confined particle is evidentiated. Then, the results are shown to be incorrect by means of a counter-example, an explicit preparation for the probe is given that yields an arbitrary…

Quantum Physics · Physics 2014-09-02 A. Di Lorenzo

We present recent developments in the application of exact amplitude-based resummation methods in the confrontation between precision theory and recent experimental results. As a consequence, we argue that these methods open the way to 1\%…

High Energy Physics - Phenomenology · Physics 2016-03-09 B. F. L. Ward , A. Mukhopadhyay

The reconstruction task in photoacoustic tomography can vary a lot depending on measured targets, geometry, and especially the quantity we want to recover. Specifically, as the signal is generated due to the coupling of light and sound by…

Medical Physics · Physics 2023-11-28 Andreas Hauptmann , Tanja Tarvainen

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

The attenuation of ultrasound waves in photoacoustic and thermoacoustic imaging presents an important drawback in the applicability of these modalities. This issue has been addressed previously in the applied and theoretical literature, and…

Analysis of PDEs · Mathematics 2021-09-15 Benjamin Palacios

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 report a new resummation procedure for the partial wave series (PWS) representation of the scattering amplitude, when a basis set of Legendre polynomials is used for the expansion. The effect of the resummation is to remove from the PWS…

Chemical Physics · Physics 2007-05-23 C. Noli , J. N. L. Connor

We demonstrate that simultaneous reconstruction of scattering and absorption of a mesoscopic system using angularly-resolved measurements of scattered light intensity is possible. Image reconstruction is realized based on the algebraic…

Optics · Physics 2011-01-07 Lucia Florescu , John C. Schotland , Vadim A. Markel

We elaborate two different methods for extracting from data the relative phase of two amplitudes of some sequential decays of baryons. We also relate this phase to a particular physical angle. Moreover we suggest how to infer some time…

High Energy Physics - Phenomenology · Physics 2013-04-22 E. Di Salvo , Z. J. Ajaltouni

We consider the problem of reconstructing wideband frequency spectra from distributed, compressive measurements. The measurements are made by a network of nodes, each independently mixing the ambient spectra with low frequency, random…

Information Theory · Computer Science 2015-06-25 Thomas Kealy , Oliver Johnson , Robert Piechocki