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Related papers: Elastic $K\pi$ amplitude: a simple model

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Dai and Pennington have performed a comprehensive analysis of essentially all pion and kaon pair production data from two-photon collisions below 1.5 GeV, including all high statistics results from Belle, as well as the older data from Mark…

High Energy Physics - Phenomenology · Physics 2025-08-22 S. P. Klevansky , R. H. Lemmer , Alireza Beygi

We propose a new method to obtain the K -> pi pi amplitude from K -> pi which allows one to fully account for the effects of final state interactions. The method is based on a set of dispersion relations for the K -> pi pi amplitude in…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. Buechler , G. Colangelo , J. Kambor , F. Orellana

We present a model-independent analysis of $K^+\to\pi^+\ell^+\ell^-$ and $K_S\to\pi^0\ell^+\ell^-$ decays, including $K\to 3 \pi$ unitarity corrections and a general decomposition of the dispersive amplitude. From the existing data on…

High Energy Physics - Phenomenology · Physics 2010-02-03 G. D'Ambrosio , G. Ecker , G. Isidori , J. Portoles

In this paper (second in the series) we study the properties of tree-level binary amplitudes of the infinite-component effective field theory of strong interaction obeying the requirements of quark-hadron duality and maximal analyticity. In…

High Energy Physics - Phenomenology · Physics 2009-10-31 Alexander V. Vereshagin , Vladimir V. Vereshagin

We study two- and three-meson systems composed either of pions or kaons at maximal isospin using Monte Carlo simulations of lattice QCD. Utilizing the stochastic LapH method, we are able to determine hundreds of two- and three-particle…

High Energy Physics - Lattice · Physics 2021-10-14 Tyler D. Blanton , Andrew D. Hanlon , Ben Hörz , Colin Morningstar , Fernando Romero-López , Stephen R. Sharpe

Pion elastic scattering on deuterium is studied in the KMT multiple scattering approach developed in momentum space. Using a Paris wave function and the same methods and approximations as commonly used in pion scattering on heavier nuclei…

Nuclear Theory · Physics 2008-11-26 S. S. Kamalov , L. Tiator , C. Bennhold

The elastic and inelastic profiles have been derived from the measured elastic differential cross section data with the help of exact impact parameter representation of elastic scattering amplitude. The results obtained for $pp$ scattering…

High Energy Physics - Phenomenology · Physics 2007-05-23 Vojtech Kundrat , Milos Lokajicek , D. Krupa

With the aim of extracting the pion charge radius, we analyse extant precise pion+electron elastic scattering data on $Q^2 \in [0.015,0.144]\,$GeV$^2$ using a method based on interpolation via continued fractions augmented by statistical…

High Energy Physics - Phenomenology · Physics 2021-12-17 Zhu-Fang Cui , Daniele Binosi , Craig D. Roberts , Sebastian M. Schmidt

The compatibility between the QCD analytic invariant charge and chiral symmetry breaking is examined in detail. The coupling in question incorporates asymptotic freedom and infrared enhancement into a single expression, and contains only…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. C. Aguilar , A. V. Nesterenko , J. Papavassiliou

I discuss the status of ongoing work to determine numerically the elastic $\pi\pi$ scattering amplitude at order $p^6$ in the framework of chiral perturbation theory.

High Energy Physics - Phenomenology · Physics 2007-05-23 J. Gasser

A system of dispersive representations of the Omn\`es-Khuri-Treiman-Sawyer-Wali type for the final-state interactions in the amplitudes of the $K\to\pi\pi\pi$ weak transitions is constructed, under the assumptions that CP and isospin…

High Energy Physics - Phenomenology · Physics 2024-03-27 Véronique Bernard , Sébastien Descotes-Genon , Marc Knecht , Bachir Moussallam

In this work, we investigate the resonance structures in the $\Sigma(1/2^-)$ system from both three-quark and five-quark perspectives within the framework of the chiral quark model. An accurate few-body computational approach, the Gaussian…

High Energy Physics - Phenomenology · Physics 2025-10-28 Yu Yao , Xuejie Liu , Xiaoyun Chen , Yuheng Wu , Jialun Ping , Yue Tan , Qi Huang

Pseudopotentials, tight-binding models, and $k\cdot p$ theory have stood for many years as the standard techniques for computing electronic states in crystalline solids. Here we present the first new method in decades, which we call…

Materials Science · Physics 2016-01-20 Craig Pryor , Mats-Erik Pistol

A Roy equation analysis of the available $\pi\pi$ phase shift data is performed with the $I=0$ S- wave scattering length $a^0_0$ in the range predicted by the one-loop standard chiral perturbation theory. A suitable dispersive framework is…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Ananthanarayan , P. Büttiker

In this paper we calculate dipole amplitude and dipole amplitude correlations using first and second equation from Balitsky-Kovchegov hierarchy. Our analysis shows that even in presence of weak dipole correlation in initial condition mean…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. A. Abramovsky , N. V. Prikhod'ko

We apply our method of complex scaling, valid for a general class of potentials, in a search for nucleon-nucleon S-matrix poles up to 2 GeV laboratory kinetic energy. We find that the realistic potentials JISP16, constructed from inverse…

Nuclear Theory · Physics 2015-05-20 G. Papadimitriou , J. P. Vary

We carry out an analysis of $\pi\pi$ scattering in the $IJ=00$, $11$ and $20$ channels in configuration space up to a maximal center-of-mass energy $\sqrt{s}=1.4$ GeV. We separate the interaction into two regions marked by an elementarity…

High Energy Physics - Phenomenology · Physics 2018-11-14 Jacobo Ruiz de Elvira , Enrique Ruiz Arriola

We present a new analysis of the Delta I = 1/2 rule in K --> pi pi decays and the B_K parameter. We use the 1/N_c expansion within the effective chiral lagrangian for pseudoscalar mesons and compute the hadronic matrix elements at leading…

High Energy Physics - Phenomenology · Physics 2011-09-13 T. Hambye , G. O. Koehler , P. H. Soldan

We study the $K \to 2 \pi$ decays using the $U_L(3) \times U_R(3)$ version of the Nambu-Jona-Lasinio model with the effective $\Delta S = 1$ nonleptonic weak interaction. The $\Delta I = {3/2}$ amplitude is in reasonable agreement with…

High Energy Physics - Phenomenology · Physics 2009-09-25 M. Takizawa , T. Inoue , M. Oka

Measurements of elastic scattering of 21.5 MeV pi+ and pi- by Si, Ca, Ni and Zr were made using a single arm magnetic spectrometer. Absolute calibration was made by parallel measurements of Coulomb scattering of muons. Parameters of a…

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