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Related papers: Amplitudes Fitted to Experimental Data and to Roy'…

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We have evaluated forward dispersion relations for scattering amplitudes that follow from direct fits to several sets of pion-pion scattering experiments, together with the precise K decay results, and high to energy data. We find that some…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. R. Pelaez , F. J. Yndurain

A multichannel description of the light scalar mesons in the framework of the Resonance-Spectrum Expansion is generalised by including vector-vector and scalar-scalar channels, besides the usual pseudoscalar-pseudoscalar channels.…

High Energy Physics - Phenomenology · Physics 2010-11-15 George Rupp , Susana Coito , Eef van Beveren

A coupled-channel analysis of BESIII data on radiative $J/\psi$ decays into $\pi\pi$, $K\bar K$, $\eta\eta$ and $\omega\phi$ has been performed. The partial-wave amplitude is constrained by a large number of further data. The analysis finds…

High Energy Physics - Phenomenology · Physics 2021-04-14 Andrey V. Sarantsev , Igor Denisenko , Ulrike Thoma , Eberhard Klempt

We consider the tree-level amplitude, describing all 3 channels of the binary (pi ,K)-reaction, as a meromorphic polynomially bounded function of 3 dependent complex variables. Relying systematically on the Mittag-Leffler theorem, we…

High Energy Physics - Phenomenology · Physics 2009-10-28 Vladimir V. Vereshagin

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…

Even if a `complete set' of experimental observables were measured for the elastic scattering or photo/electroproduction of pseudoscalar mesons, ambiguities would remain in the extracted partial-wave and isospin decomposed amplitudes. As…

Nuclear Theory · Physics 2011-04-15 Ron Workman

We analyze the Roy equations for the lowest partial waves of elastic pi pi scattering and demonstrate that the two S-wave scattering lengths a_0^0 and a_0^2 are the essential parameters in the low energy region: Once these are known, the…

High Energy Physics - Phenomenology · Physics 2011-07-19 B. Ananthanarayan , G. Colangelo , J. Gasser , H. Leutwyler

We provide new global parametrizations of $\pi\pi \to \pi\pi$ scattering for the S2, P, D, F, and G partial waves up to at least 1.8 GeV, easy to implement for phenomenological use. With earlier S0-wave parametrizations, slightly updated…

High Energy Physics - Phenomenology · Physics 2025-04-07 J. R. Peláez , P. Rabán , J. Ruiz de Elvira

This work focuses on decomposition of isospin amplitude of D meson non-leptonic decays. Isospin vector algebra is used to show the equivalency of two amplitude decompositions. We restrict to the transitions involving only Del I = 1 and Del…

High Energy Physics - Phenomenology · Physics 2023-11-27 Shakeel Mahmood , Mudassir Hussain , Abrar Ahmad

We compare the low-energy partial wave analyses $\pi N$ scattering with a high-energy data via finite energy sum rules. We construct a new set of amplitudes by matching the imaginary part from the low-energy analysis with the high-energy,…

High Energy Physics - Phenomenology · Physics 2018-04-30 V. Mathieu , I. V. Danilkin , C. Fernández-Ramírez , M. R. Pennington , D. Schott , A. P. Szczepaniak , G. Fox

Using a variety of experimental results and lattice QCD calculations of $\pi\pi$ scattering lengths, while employing dispersive representations of the amplitude based on Roy equations, we compute the subthreshold parameters of this process.…

High Energy Physics - Phenomenology · Physics 2026-02-26 Marián Kolesár , Jaroslav Říha

We have derived the tensor amplitudes for partial wave analysis of $\psi\to\Delta\bar{\Delta}$, $\Delta \to p \pi$ within the helicity frame, as well as the amplitudes for the other decay sequences with same final states. These formulae are…

High Energy Physics - Theory · Physics 2022-06-09 Xiang Dong , Kexin Su , Hao Cai , Kai Zhu , Yonggui Gao

General interest in a precise determination of the threshold pi-pi amplitudes has recently increased markedly due to a controversy regarding the size of <0|qbar q|0>, the scalar quark condensate. This paper examines the current experimental…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. Pocanic

We apply the one-loop results of the $SU(3)_L\times SU(3)_R$ ChPT suplemented with the inverse amplitude method to fit the available experimental data on $\pi\pi$ and $\pi K$ scattering. With esentially only three parameters we describe…

High Energy Physics - Phenomenology · Physics 2009-10-22 A. Dobado , J. R. Pelaez

A pi-pi, Kbar-K, and rho-rho(omega-omega) fully coupled channel model is used to predict the lowest isospin S, P, D, F-wave phase shifts and inelasticities for elastic pi-pi scattering from threshold to 2.0 GeV. As input the S-matrix is…

Nuclear Theory · Physics 2009-10-30 W. M. Kloet , B. Loiseau

A set of well known once subtracted dispersion relations with imposed crossing symmetry condition is used to modify unitary multichannel $S$ ($\pi\pi$, $K \bar K$, and $\eta\eta$) and $P$ ($\pi\pi$, $\rho 2\pi$, and $\rho\sigma$) wave…

High Energy Physics - Phenomenology · Physics 2015-06-23 P. Bydžovský , R. Kamiński , V. Nazari

The relations between masses and decay constants of variety of meson resonances in the energy range 0--3 GeV are verified from the string-like, linear mass spectrum for vector, axial-vector, scalar and pseudoscalar mesons with a universal…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. A. Andrianov , V. A. Andrianov , S. S. Afonin

We match the known chiral perturbation theory representation of the pi pi scattering amplitude to two loops with a phenomenological description that relies on the Roy equations. On this basis, the corrections to Weinberg's low energy…

High Energy Physics - Phenomenology · Physics 2011-05-05 G. Colangelo , J. Gasser , H. Leutwyler

The theoretical study of cross sections for polarized--target measurements of $ \pi N \to \pi \pi N $ reactions gives evidence that the interplay between the strong contribution from OPE mechanism and the one from isobar exchanges, which is…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. A. Bolokhov , V. A. Kozhevnikov , S. G. Sherman , D. N. Tatarkin

We set up a general framework to describe $\pi\pi$ scattering below 1 GeV based on chiral low-energy expansion with possible spin-0 and 1 resonances. Partial wave amplitudes are obtained with the $N/D$ method, which satisfy unitarity,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Keiji Igi , Ken-ichi Hikasa