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The pion-nucleon scattering is investigated by using several three-dimensional reduction schemes of the Bethe-Salpeter equation for a model Lagrangian involving $\pi$, $N$, $\Delta$, $\rho$, and $\sigma$ fields. It is found that all of the…

Nuclear Theory · Physics 2009-11-07 Cheng-Tsung Hung , Shin Nan Yang , T. -S. H. Lee

We extract K-matrix poles from our fits to elastic pion-nucleon scattering and eta-nucleon production data in order to test a recently proposed method for the determination of resonance properties, based on the trace of the K-matrix. We…

Nuclear Theory · Physics 2009-08-12 R. L. Workman , R. A. Arndt , M. Paris

We have adapted R-matrix theory to calculate phonon scattering across systems of molecular to mesoscopic scale. The key novelty of this work is that the only required information about the scattering region are its normal modes, which are…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 K. G. S. H. Gunawardana , Kieran Mullen

Simple yet accurate results for radiative transfer in layered media with discontinuous refractive index are obtained by the method of K-integrals, originally developed for neutron transport analysis. These are certain weighted integrals…

Optics · Physics 2016-01-05 Adrian C Selden

This paper focuses on the scaling of the S-matrix for elastic nucleon-nucleon scattering at large Nc. It is argued that the logarithm of a typical S-matrix element is proportional to Nc in the regime where the large Nc limit is taken with…

Nuclear Theory · Physics 2013-11-20 Thomas D. Cohen , Vojtěch Krejčiřík

The $J$-matrix inverse scattering approach can be used as an alternative to a conventional $R$-matrix in analyzing scattering phase shifts and extracting resonance energies and widths from experimental data. A great advantage of the…

Nuclear Theory · Physics 2009-02-18 A. M. Shirokov , A. I. Mazur , J. P. Vary , E. A. Mazur

We present a propagator formalism to investigate the scattering of photons by a cavity QED system that consists of a single two-level atom dressed by a leaky optical cavity field. We establish a diagrammatic method to construct the…

Quantum Physics · Physics 2007-05-23 T. W. Chen , C. K. Law , P. T. Leung

Based on the recently proposed Roy-Steiner equations for pion-nucleon scattering, we derive a system of coupled integral equations for the pi pi --> N-bar N and K-bar K --> N-bar N S-waves. These equations take the form of a two-channel…

High Energy Physics - Phenomenology · Physics 2012-06-13 M. Hoferichter , C. Ditsche , B. Kubis , U. -G. Meißner

We present an integral density method for calculating the multifractal dimension spectrum for the nucleon distribution in atomic nuclei. This method is then applied to analyze the non-uniformity of the density distribution in several…

Nuclear Theory · Physics 2024-04-12 Weihu Ma , Yu-Gang Ma , Wanbing He , Bo Zhou

We develop a transfer matrix formalism for four-flux radiative transfer models, which is ideally suited for studying transport through multiple scattering layers. The model, derived for spherical particles within the diffusion…

Optics · Physics 2018-05-23 Brian Slovick , Zachary Flom , Lucas Zipp , Srini Krishnamurthy

I discuss how dispersion relations can be used to analyse the nucleon electromagnetic form factors, with particular emphasis on the constraints from unitarity and pQCD. Results for nucleon radii, vector-meson couplings, the onset of pQCD…

High Energy Physics - Phenomenology · Physics 2009-10-30 Ulf-G. Meißner

We present a formalism to extract the dynamical nucleon polarisabilities defined via a multipole expansion of the structure amplitudes in nucleon Compton scattering. In contradistinction to the static polarisabilities, dynamical…

Nuclear Theory · Physics 2009-11-07 Harald W. Griesshammer , Thomas R. Hemmert

Generalized parton distributions (GPDs) offer a comprehensive picture of the nucleon structure and dynamics and provide a link between microscopic and macroscopic properties of the nucleon. These quantities, which can be interpreted as the…

Nuclear Experiment · Physics 2014-11-20 E. Voutier

We present an exploratory study using generalized parton distributions of several observables related to transverse degrees of freedom in hadronic structure -- the nucleon transverse momentum, the transverse radius, or impact parameter, and…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Liuti

Universality in physics describes how disparate systems can exhibit identical low-energy behavior. Here, we reveal a rich landscape of new universal scattering phenomena governed by the interplay between an interaction and a system's…

Atomic Physics · Physics 2025-10-14 Yidan Wang , Xuesen Na , Michael J. Gullans , Susanne Yelin , Alexey V. Gorshkov

In this present investigation, we explore the elastic scattering of pions with nuclei ($\pi$-$A$), primarily influenced by the $\Delta$(1232) resonance, within the Eikonal-Glauber model. The medium effects are incorporated by considering…

High Energy Physics - Phenomenology · Physics 2024-02-22 Hyeon-dong Han , Parada T. P. Hutauruk , Seung-il Nam

Recent experimental results on the proton and neutron polarizabilities are examined from the point of view of backward dispersion relations. Results are found to be in reasonable agreement with the measured values. A rigorous relationship…

High Energy Physics - Phenomenology · Physics 2011-07-19 Barry R. Holstein , A. M. Nathan

We estimate exclusive density and asymmetry parameter dependent dispersion relations of various charged states of pions in asymmetric nuclear matter. The possibility of matter induced mixing of $\pi^0$ with $\eta$ is clearly exposed with…

Nuclear Theory · Physics 2008-11-26 Subhrajyoti Biswas , Abhee K. Dutt-Mazumder

We present a coupled system of integral equations for the pi pi --> Nbar N and Kbar K --> Nbar N S-waves derived from Roy-Steiner equations for pion-nucleon scattering. We discuss the solution of the corresponding two-channel…

Nuclear Theory · Physics 2012-11-08 Martin Hoferichter , Christoph Ditsche , Bastian Kubis , Ulf-G. Meißner

We analyze electromagnetic waves propagation in one-dimensional periodic media with single or periodic defects. The study is made both from the point of view of the modes and of the diffraction problem. We provide an explicit dispersion…

Mathematical Physics · Physics 2009-10-31 Didier Felbacq