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We impose unitarity constraints on the S-wave isoscalar pion-pion amplitudes extracted from the analysis of the pi- p ---> pi+ pi- n data which have been measured by the CERN-Cracow-Munich collaboration on a transversely polarized target at…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Kaminski , L. Lesniak , K. Rybicki

This paper employs layer potential techniques to investigate wave scattering in two-dimensional elastic media exhibiting high contrasts in both Lam\'{e} parameters and density. Our contributions are fourfold. First, we construct an…

Analysis of PDEs · Mathematics 2025-10-03 Yuanchun Ren , Yixian Gao

The paper presents the phenomenological analysis of the energy dependence for the ratio of elastic to total cross section in proton-proton and antiproton-proton scattering. The analytic functions based on the study of low- and high-energy…

High Energy Physics - Phenomenology · Physics 2019-04-11 V. A. Okorokov

The $\pi$N forward scattering data are analyzed using an expansion method, where the invariant amplitudes are represented by expansions satisfying the forward dispersion relations. The experimental errors of the data are taken into account…

High Energy Physics - Phenomenology · Physics 2008-11-26 P. Metsä

We study the \eta' N interaction within a chiral unitary approach which includes \pi N, \eta N and related pseudoscalar meson-baryon coupled channels. Since the SU(3) singlet does not contribute to the standard interaction and the \eta' is…

Nuclear Theory · Physics 2015-05-20 E. Oset , A. Ramos

The scattering amplitude of the pion-nucleon elastic scattering is calculated by the lowest-order approximation of the perturbative expansion with the non-perturbative term. The self-energy of nucleon is determined so as to give the…

Nuclear Theory · Physics 2022-04-22 Susumu Kinpara

We continue the analysis of S-wave production amplitudes for the reaction pi- p -> pi+ pi- n involving the data obtained by the CERN--Cracow-Munich collaboration on a transversely polarized target at 17.2 GeV/c pi- momentum. This study…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. Kaminski , L. Lesniak , K. Rybicki

The pion-nucleon $\sigma$-term can be stringently constrained by the combination of analyticity, unitarity, and crossing symmetry with phenomenological information on the pion-nucleon scattering lengths. Recently, lattice calculations at…

High Energy Physics - Lattice · Physics 2016-07-01 Martin Hoferichter , Jacobo Ruiz de Elvira , Bastian Kubis , Ulf-G. Meißner

We analyse the SM97 partial wave amplitudes for nucleon--nucleon (NN) scattering to 2.5 GeV, in which resonance and meson production effects are evident for energies above pion production threshold. Our analyses are based upon boson…

Nuclear Theory · Physics 2008-11-26 H. V. von Geramb , K. A. Amos , H. Labes , M. Sander

When two elastic solids with randomly rough surfaces are brought in contact, a very inhomogeneous stress distribution sigma(x) will occur at the interface. Here I study the elastic energy and the correlation function <sigma(q)sigma(-q)>,…

Soft Condensed Matter · Physics 2009-11-13 B. N. J. Persson

I draw attention to a recent breakthrough in the field of low energy pion physics: the consequences of the hidden symmetry of the QCD Hamiltonian have successfully been incorporated in the general dispersive framework for the pi-pi…

High Energy Physics - Phenomenology · Physics 2009-11-07 H. Leutwyler

Differential cross sections for pi- p and pi+ p elastic scattering were measured at five energies between 19.9 and 43.3 MeV. The use of the CHAOS magnetic spectrometer at TRIUMF, supplemented by a range telescope for muon background…

An unified systematic of elastic (anti)proton-proton scattering data is proposed based on a simple expression for the process amplitude - f(q)=A[(\pi dq)/sh(\pi dq)][i J_1(Rq)/(Rq)+\rho J_0(Rq)]. The parameters R and d are obtained at a…

High Energy Physics - Phenomenology · Physics 2012-08-30 V. Uzhinsky , A. Galoyan

This work provides the first combined analysis of low-energy p$\Lambda$ scattering, considering both cross section and correlation data. The obtained results establish the most stringent constraints to date on the two-body p$\Lambda$…

Nuclear Theory · Physics 2024-11-01 D. L. Mihaylov , J. Haidenbauer , V. Mantovani Sarti

We investigate the determination of the $\sigma$ pole from $\pi\pi$ scattering data below the $K\bar{K}$ threshold, including the new precise results obtained from $K_{e4}$ decay by NA48/2 Collaboration. We discuss also the experimental…

High Energy Physics - Phenomenology · Physics 2008-11-26 Irinel Caprini

The diffraction slope parameter is investigated for elastic proton-proton and proton-antiproton scattering based on the all available experimental data at low momentum transfer values. Energy dependence of the elastic diffraction slopes is…

High Energy Physics - Phenomenology · Physics 2008-11-12 V. A. Okorokov

We present our study of $\pi-N$ scattering in the iso-spin $I=3/2$ channel for the first time at the physical point. The calculation is performed using $N_f=2+1+1$ flavors of twisted mass fermions with clover improvement at physical pion…

One-nucleon emission electron scattering experiments are studied with a model that considers short--range correlations up to the first order in the number of correlation lines. The proper normalization of the many-body wave functions…

Nuclear Theory · Physics 2009-11-07 S. R. Mokhtar , M. Anguiano , G. Co' , A. M. Lallena

This paper is concerned with an asymptotic analysis of the dispersion relation for wave propagation in an elastic layer of uniform thickness. The layer is subject to an underlying simple shear deformation accompanied by an arbitrary uniform…

Mathematical Physics · Physics 2007-05-23 Wasiq Hussain
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