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Related papers: Consistency checks of different pion-pion scatteri…

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Any-order pion inclusive distribution for a chaotic source in high energy collisions are given which can be used in both theory and experiment to analyze any-order pion interferometry. Multi-pion correlations effects on two-pion and…

High Energy Physics - Phenomenology · Physics 2008-11-26 Q. H. Zhang

We use a chiral model for pion interactions, in the inverse amplitude formalism, to perform a simultaneous analysis of lattice QCD results for pion-pion scattering in all three isospin channels. The input is the finite-volume two-pion…

High Energy Physics - Lattice · Physics 2020-01-01 Maxim Mai , Chris Culver , Andrei Alexandru , Michael Döring , Frank X. Lee

Poisson regression is a popular tool for modeling count data and is applied in a vast array of applications from the social to the physical sciences and beyond. Real data, however, are often over- or under-dispersed and, thus, not conducive…

Applications · Statistics 2010-11-10 Kimberly F. Sellers , Galit Shmueli

The total and differential cross sections of high energy pion-proton and pion-pion scattering are investigated in a holographic QCD model, focusing on the Regge regime in which the Pomeron exchange gives the dominant contribution to those…

High Energy Physics - Phenomenology · Physics 2022-10-05 Zhibo Liu , Wei Xie , Fei Sun , Shuang Li , Akira Watanabe

We determine the values of the one- and two-loop low energy constants appearing in the SU(2) Chiral Perturbation Theory calculation of pion-pion scattering. For this we use a recent and precise sum rule determination of some scattering…

High Energy Physics - Phenomenology · Physics 2015-06-05 J. Nebreda , J. R. Pelaez , G. Rios

We present the results of energy-dependent and single-energy partial-wave analyses of pi-N elastic scattering data with laboratory kinetic energies below 2.1 GeV. We have considered the effect of adding dispersion-relation constraints…

Nuclear Theory · Physics 2007-05-23 R. A. Arndt , I. I. Strakovsky , R. L. Workman , M. M. Pavan

We give a pedagogical introduction to the founding ideas of dispersion relations in particle physics. Starting from elementary mechanical systems, we show how the physical principle of causality is closely related to the mathematical…

High Energy Physics - Phenomenology · Physics 2026-05-05 Bastian Kubis

Hadron-hadron scattering lengths are fine probes of our understanding of nonperturbative QCD. I discuss the status of a variety of scattering processes sensitive to the spontaneous and explicit chiral symmetry breaking of QCD, such as…

High Energy Physics - Phenomenology · Physics 2013-07-04 Ulf-G. Meißner

The effect of the non-perturbative term is investigated for the pion-nucleon scattering. Including the self-energy of nucleon the cross section of the elastic scattering results in a constant value at the laboratory momentum $p_L \to…

Nuclear Theory · Physics 2020-04-08 Susumu Kinpara

Starting from hyperbolic dispersion relations, we present a system of Roy--Steiner equations for pion Compton scattering that respects analyticity and unitarity requirements, gauge invariance, as well as crossing symmetry, and thus all…

High Energy Physics - Phenomenology · Physics 2011-08-25 Martin Hoferichter , Daniel R. Phillips , Carlos Schat

We develop five new statistical measures of the quality of fits, which we combine with the usual confidence level to determine the models which fit best all available data for total cross sections and for the real part of the forward…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. R. Cudell , K. Kang , V. V. Ezhela , Yu. V. Kuyanov , S. B. Lugovsky , N. P. Tkachenko , P. Gauron , B. Nicolescu

We extract the pion fragmentation functions and their uncertainties from a judicious choice of e+e- and semi-inclusive DIS data. These are used to study the error propagation in the extraction of polarized parton densities from…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Kretzer , E. Leader , E. Christova

Pion-pion scattering amplitude obtained from one-loop Chiral Perturbation Theory (ChPT) is crossing symmetric, however the corresponding partial-wave amplitudes do not respect exact unitarity relation. There are different approaches to get…

High Energy Physics - Phenomenology · Physics 2007-05-23 Isabela P. Cavalcante , J. Sá Borges

Near threshold pion production experiments have been recently carried out and used to extract S--wave $\pi\pi$ scattering lengths. We emphasize here that at present these processes are related only at the tree level (and its first…

High Energy Physics - Phenomenology · Physics 2014-11-17 M. G. Olsson , Ulf-G. Meißner , N. Kaiser , V. Bernard

In the scaling regime, amplitudes for backward virtual Compton scattering and hadron annihilation into two photons depend on structure functions that describe the hadron-photon transition at the partonic level. We construct simple…

High Energy Physics - Phenomenology · Physics 2009-11-11 B. C. Tiburzi

We calculate the nucleonic and pionic dispersion relations at finite temperature T and non-vanishing chemical potentials $(\mu_f)$ in the context of an effective chiral theory that describes the strong and electromagnetic interactions for…

High Energy Physics - Phenomenology · Physics 2007-05-23 Rafael Hurtado , John Morales , Carlos Quimbay

It is shown that isospin-breaking corrections to the pion-deuteron scattering length can be very large, because of the vanishing of the isospin-symmetric contribution to this scattering length at leading order in chiral perturbation theory.…

Nuclear Theory · Physics 2008-11-26 Ulf-G. Meißner , Udit Raha , Akaki Rusetsky

We study the properties of the Resonance-Spectrum Expansion near threshold in I=0 S-wave pion-pion scattering. The real part of the amplitude, when extrapolated from above threshold to below threshold, is found to vanish at a positive…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eef van Beveren , George Rupp

In the analysis of count data often the equidispersion assumption is not suitable, hence the Poisson regression model is inappropriate. As a generalization of the Poisson distribution, the COM-Poisson distribution can deal with under-,…

We compare the most used approximations to calculate the contribution from pion re-scattering mechanisms to pion production from proton-proton scattering, near threshold. Our calculation employs a pseudo-vector coupling for the pi NN vertex…

Nuclear Theory · Physics 2007-05-23 V. Malafaia , M. T. Pena