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Based on a recent meson-exchange model for the vacuum $\pi\pi$ interaction we compute selfconsistently the in-medium $\pi\pi$ scattering amplitude and pion selfenergy in a hot $\pi N\Delta$ gas. The contributions to the pion selfenergy are…

Nuclear Theory · Physics 2010-11-01 R. Rapp , J. Wambach

The theoretical predictions for the subtraction constants lead to a very accurate dispersive representation of the pi pi scattering amplitude below 0.8 GeV. The extension of this representation up to the maximum energy of validity of the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Irinel Caprini , Gilberto Colangelo , Heinrich Leutwyler

We present results of the Nijmegen partial-wave analyses of all NN scattering data below Tlab = 500 MeV. We have been able to extract for the first time the important np phase shifts for both I = 0 and I = 1 from the np scattering data…

Starting from hyperbolic dispersion relations for the invariant amplitudes of pion-nucleon scattering together with crossing symmetry and unitarity, one can derive a closed system of integral equations for the partial waves of both the…

High Energy Physics - Phenomenology · Physics 2013-08-09 Christoph Ditsche , Martin Hoferichter , Bastian Kubis , Ulf-G. Meißner

We present a dispersive analysis of the decay amplitude for $\eta'\to\eta\pi\pi$ that is based on the fundamental principles of analyticity and unitarity. In this framework, final-state interactions are fully taken into account. Our…

High Energy Physics - Phenomenology · Physics 2017-07-25 Tobias Isken , Bastian Kubis , Sebastian P. Schneider , Peter Stoffer

The elastic and inelastic high--energy small--angle electron--positron scattering is considered. All radiative corrections to the cross--section with the relative accuracy $\delta\sigma/ \sigma = 0.1 \% $ are explicitly taken into account.…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. B. Arbuzov , V. S. Fadin , E. A. Kuraev , L. N. Lipatov , N. P. Merenkov , L. G. Trentadue

We present an extension to $\pi^{\pm} p$ and $K^{\pm} p$ elastic scattering at high energies of the impact-picture phenomenology we first proposed more than twenty years ago, for $p p$ and $\bar p p$ elastic scattering. We show, in…

High Energy Physics - Phenomenology · Physics 2011-03-23 Claude Bourrely , Jacques Soffer , Tai Tsun Wu

A dynamical model for S-- and P--wave correlated $2 \pi$ (and $K \bar K$) exchange between a kaon and a nucleon is presented, starting from corresponding $N \bar N \rightarrow K \bar K$ amplitudes in the pseudophysical region, which have…

Nuclear Theory · Physics 2009-10-28 M. Hoffmann , J. W. Durso , K. Holinde , B. C. Pearce , J. Speth

We present the results of simultaneous analysis of the S-wave pi pi-spectra in the reactions pi^- p -> (pi^0 pi^0)_S n at p_{lab}=38 GeV/c (GAMS) and pi^- p -> (pi^+ pi^-)_S n at p_{lab}=18 GeV/c (E852 Collaboration) at moderate momenta…

High Energy Physics - Phenomenology · Physics 2008-11-26 V. V. Anisovich , A. V. Sarantsev

Experimental data for pion photoproduction including differential cross sections and various polarization observables from four reaction channels, $\gamma p \to \pi^0 p$, $\gamma p \to \pi^+n$, $\gamma n \to \pi^- p$ and $\gamma n \to \pi^0…

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

We review the structure of Roy-Steiner equations for pion-nucleon scattering, the solution for the partial waves of the t-channel process $\pi\pi\to \bar N N$, as well as the high-accuracy extraction of the pion-nucleon S-wave scattering…

High Energy Physics - Phenomenology · Physics 2016-03-24 Martin Hoferichter , Jacobo Ruiz de Elvira , Bastian Kubis , Ulf-G. Meißner

We show that, within a meson-exchange dynamical model describing most of the existing pion electromagnetic production data up to the second resonance region, one is also able to obtain a good agreement with the pi0 photo- and…

Nuclear Theory · Physics 2009-11-07 S. S. Kamalov , G. -Y. Chen , S. N. Yang , D. Drechsel , L. Tiator

In this talk we discuss the relevance of dispersive methods and their different applications to obtain simple but rigorous parameterizations of pion-pion and kaon-pion scattering. We show as an example our latest dispersive analysis of $\pi…

High Energy Physics - Phenomenology · Physics 2017-11-22 J. R. Peláez , A. Rodas

Elastic cross sections are calculated and compared with the data on $\pi^{\pm}$ scattering on $^{28}$Si, $^{40}$Ca, $^{58}$Ni, $^{208}$Pb nuclei in the energy range from 130 to 290 MeV. To this end, both the folding optical potential (OP)…

Nuclear Theory · Physics 2021-04-02 V. K. Lukyanov , E. V. Zemlyanaya , K. V. Lukyanov , I. Abdul-Magead

A unified description of NN and pi-N elastic scattering is presented in the framework of the one solitary boson exchange potential (OSBEP). This model already successfully applied to analyze NN scattering is now extended to describe pi-N…

Nuclear Theory · Physics 2008-11-26 L. Jaede

From recent charge exchange measurements in the extreme forward direction, an independent and precise determination of the pion nucleon coupling constant is possible. This determination has reopened the debate on the value of this…

High Energy Physics - Phenomenology · Physics 2012-07-19 F. Myhrer

We report on our recent results in the study of the chiral extrapolation of the phase-shifts in elastic pion-pion scattering, using both standard and unitarized ChPT to one and two loops. In the standard ChPT approach, limited to low…

High Energy Physics - Phenomenology · Physics 2011-08-31 J. Nebreda , J. R. Pelaez , G. Rios

We evaluate analytically the elastic $\pi\pi$ scattering amplitude to two loops in chiral perturbation theory and give numerical values for the two $S$--wave scattering lengths and for the phase shift difference $\delta_0^0-\delta_1^1$.

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bijnens , G. Colangelo , G. Ecker , J. Gasser , M. E. Sainio

CERN measurements of pi(-)p->pi(-)pi(+)n on polarized target at 17.2 GeV/c enable experimental determination of partial wave production amplitudes below 1080 MeV. The measured S-wave transversity amplitudes provide evidence for a narrow…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Svec
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