English
Related papers

Related papers: Precise analysis of pion-pion scattering data from…

200 papers

We present a dispersive representation of the D-term form factor for hard exclusive reactions, using unsubtracted $t$-channel dispersion relations. The $t$-channel unitarity relation is saturated with the contribution of two-pion…

High Energy Physics - Phenomenology · Physics 2014-11-04 B. Pasquini , M. V. Polyakov , M. Vanderhaeghen

We perform a detailed Regge analysis of NN, pion-N and pion-pion scattering. From it, we find expressions that represent the pion-pion scattering amplitudes with an accuracy of a few percent, for exchange of isospin zero, and $\sim15%$ for…

High Energy Physics - Phenomenology · Physics 2011-07-19 J. R. Pelaez , F. J. Yndurain

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

Fully constrained bubble chamber data on the pp -> pi+ pn and pp -> pi+ d reactions are used to investigate the ratio of the counting rates for the two processes as function of the pn excitation energy Q. Though it is important to include…

Nuclear Theory · Physics 2018-02-21 G. Faeldt , C. Wilkin

Motivated by the 1/Nc expansion, we present a simple model of pion-pion scattering as a sum of a `current-algebra' contact term and resonant pole exchanges. The model preserves crossing symmetry as well as unitarity up to 1.2 GeV. Key…

High Energy Physics - Phenomenology · Physics 2008-11-26 Masayasu Harada , Francesco Sannino , Joseph Schechter

We study the contributions from the connected and disconnected contraction diagrams to the pion-kaon scattering amplitude within the framework of SU$(4|1)$ partially-quenched chiral perturbation theory. Combining this with a finite-volume…

High Energy Physics - Lattice · Physics 2020-06-17 Chaitra Kalmahalli Guruswamy , Ulf-G. Meißner , Chien-Yeah Seng

Pion-loop corrections for Compton scattering are calculated in a novel approach based on the use of dispersion relations in a formalism obeying unitarity. The basic framework is presented, including an application to Compton scattering. In…

Nuclear Theory · Physics 2009-11-06 S. Kondratyuk , O. Scholten

An explicitly crossing-symmetric decomposition of the pion-pion scattering amplitudes into low- and high-energy components is established. The high-energy components are entirely determined by absorptive parts at high energies. With the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Wanders

An approximate dispersion relation is derived and presented for linear surface waves atop a shear current whose magnitude and direction can vary arbitrarily with depth. The approximation, derived to first order of deviation from potential…

Fluid Dynamics · Physics 2019-01-21 Simen Å. Ellingsen , Yan Li

A model for the pionic components of nuclear wave functions is obtained from light front dynamical calculations of binding energies and densities. The pionic effects are small enough to be consistent with measured nuclear di-muon production…

Nuclear Theory · Physics 2009-11-07 Gerald A. Miller

We solve crossing equations analytically in the deep Euclidean regime. Large scaling dimension $\Delta$ tails of the weighted spectral density of primary operators of given spin in one channel are matched to the Euclidean OPE data in the…

High Energy Physics - Theory · Physics 2020-01-08 Baur Mukhametzhanov , Alexander Zhiboedov

We investigate isospin breaking in low-energy pion-nucleon scattering in the framework of chiral perturbation theory. This work extends the systematic analysis of [1] to the energy range above threshold. Various relations, which identically…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nadia Fettes , Ulf-G. Meißner

We present the dispersion relation approach based on unitarity and analyticity to evaluate the two-photon exchange contribution to elastic electron-proton scattering. The leading elastic and first inelastic $\pi N$ intermediate state…

High Energy Physics - Phenomenology · Physics 2018-07-04 Oleksandr Tomalak

The quantum statistical approach proposed more than one decade ago was used to determine the parton distributions for the proton by considering a large set of accurate Deep Inelastic Scattering experimental results. We propose to extend…

High Energy Physics - Phenomenology · Physics 2018-12-05 Claude Bourrely , Jacques Soffer

A method based on orthogonal function series interpolation of the square root probability density to analyze higher dimensional scattered data is presented. The method is targeted for the use-case when the model and/or data are available…

Data Analysis, Statistics and Probability · Physics 2022-03-01 K. Gellerstedt , J. Sjölin

The method used and results obtained are described for calculation of the cross section for the pion diffractive dissociation into two jets. The main new qualitative result is that the distribution of longitudinal momenta for jets is not…

High Energy Physics - Phenomenology · Physics 2017-08-23 V. L. Chernyak

The methods allowing to extract the coherent component of pion emission conditioned by the formation of a quasi-classical pion source in heavy ion collisions are suggested. They exploit a nontrivial modification of the quantum statistical…

Nuclear Theory · Physics 2009-11-07 S. V. Akkelin , R. Lednicky , Yu. M. Sinyukov

We extend the use of derivative dispersion relations to the study of slopes of the real and imaginary amplitudes in pp and p-pbar elastic scattering. The new relations are tested against the solutions for the amplitudes obtained in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Erasmo Ferreira

The coupled processes -- the pion-pion scattering and pi pi --> K antiK in the I^GJ^{PC}=0^+0^{++} channel -- are analyzed (both separately and combined) in a model-independent approach based on analyticity and unitarity and using a…

High Energy Physics - Phenomenology · Physics 2013-11-04 Yu. S. Surovtsev , P. Bydzovsky , R. Kaminski , V. E. Lyubovitskij , M. Nagy

In the approach, based on analyticity and unitarity and assuming an influence of coupled channels, experimental data on the isovector P-wave of pion-pion scattering have been analyzed to study rho-like mesons below 1.9 GeV.

High Energy Physics - Phenomenology · Physics 2008-06-04 Yu. S. Surovtsev , P. Bydzovsky