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We investigate the discovery potential of the $a_1(1260)$ photoproduction in the $\gamma p \to a_1(1260)^+ n$ and $\gamma p \to \pi^+\pi^+\pi^- n$ reactions via the $\pi$-exchange mechanism. For the $\gamma p \to \pi^+\pi^+\pi^- n$…

High Energy Physics - Phenomenology · Physics 2019-09-04 Xu Zhang , Ju-Jun Xie

A set of once subtracted dispersion relations with imposed crossing symmetry condition for the pipi D- and F-wave amplitudes is derived and analyzed. An example of numerical calculations in the effective two pion mass range from the…

High Energy Physics - Phenomenology · Physics 2011-11-10 R. Kaminski

The process $e^+e^- \to \pi^0\gamma$ has been studied in the experiment with the SND detector at the VEPP-2M $e^+e^-$ collider. The $e^+e^- \to \pi^0\gamma$ cross section has been measured in the center-of-mass energy range from 0.60 to…

We calculate the $00^{++}$-wave two-meson spectra for the reactions $\gamma\gamma\to\pi^0\pi^0$, $\gamma\gamma\to\pi^+\pi^-$, $\gamma\gamma\to K^0\bar K^0$ and $\gamma\gamma\to K^+ K^-$ on the basis of: (i) the results of the $K$-matrix…

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

The ee -> ee+pi0+X and ee -> ee+K0s+X reactions are studied at LEP using data collected with the L3 detector at sqrt{s}=189-202 GeV. Preliminary results for the differential cross section dsigma/dpt in the transverse momentum range 0.2 GeV…

High Energy Physics - Experiment · Physics 2007-05-23 Pablo Achard

A dispersive representation based on unitarity and analyticity is used to study the low energy $\gamma N \to \pi N\ \text{and}\ \gamma^* N \to \pi N$ partial wave amplitudes. Final state interactions of the $\pi N$ system are critical to…

High Energy Physics - Phenomenology · Physics 2022-03-01 Xiong-Hui Cao , Yao Ma

We present a theoretical study of the $\gamma\gamma \to \pi\eta$ process from the threshold up to 1.4 GeV in the $\pi\eta$ invariant mass. For the s-wave $a_0(980)$ resonance state we adopt a dispersive formalism using a coupled-channel…

High Energy Physics - Phenomenology · Physics 2017-12-20 Igor Danilkin , Oleksandra Deineka , Marc Vanderhaeghen

We propose a formalism to extract the $\gamma\pi\to\pi\pi$ chiral anomaly $F_{3\pi}$ from calculations in lattice QCD performed at larger-than-physical pion masses. To this end, we start from a dispersive representation of the…

High Energy Physics - Phenomenology · Physics 2021-12-16 Malwin Niehus , Martin Hoferichter , Bastian Kubis

High-statistics measurements of differential cross sections and recoil polarizations for the reaction $\gamma p \rightarrow K^+ \Sigma^0$ have been obtained using the CLAS detector at Jefferson Lab. We cover center-of-mass energies…

Nuclear Experiment · Physics 2014-11-21 B. Dey , C. A. Meyer , M. Bellis , M. E. McCracken , M. Williams , the CLAS Collaboration

A fit of the experimental data to the total cross section of the process $\gamma\gamma->\pi^+\pi^-$ in the energy region from threshold to 2500 MeV has been carried out using dispersion relations with subtractions for the invariant…

Nuclear Theory · Physics 2011-07-19 L. V. Fil'kov , V. L. Kashevarov

In this paper, we present a data-driven analysis of the $\gamma\gamma\to D^+D^-$ and $\gamma\gamma\to D^0\bar{D}^0$ reactions from threshold up to 4.0 GeV in the $D\bar{D}$ invariant mass. For the $S$-wave contribution, we adopt a…

High Energy Physics - Phenomenology · Physics 2022-03-09 Oleksandra Deineka , Igor Danilkin , Marc Vanderhaeghen

Simulations based on a coupled-channel transport model have been performed to analyze the feasibility to study the in-medium $\omega$ mass exploiting the process $\gamma+A\to\pi^0\gamma+X$ for C, Ca and Nb nuclei. The distortions due to…

High Energy Physics - Experiment · Physics 2011-07-19 J. G. Messchendorp , A. Sibirtsev , W. Cassing , V. Metag , S. Schadmand

We present a data-driven analysis of the S-wave $\pi\pi \to \pi\pi\,(I=0,2)$ and $\pi K \to \pi K\,(I=1/2, 3/2)$ reactions using the partial-wave dispersion relation. The contributions from the left-hand cuts are parametrized using the…

High Energy Physics - Phenomenology · Physics 2022-03-07 Oleksandra Deineka , Igor Danilkin , Marc Vanderhaeghen

New high statistics Belle data on the $\gamma\gamma\to\pi^+\pi^-$ reaction cross section measured in the range of pion-pair invariant masses $\sqrt{s}$ between 0.8 GeV and 1.5 GeV are analyzed to clarify the current situation around the…

High Energy Physics - Phenomenology · Physics 2008-11-26 N. N. Achasov , G. N. Shestakov

The influence of dispersion on the differential scattering cross section in the vicinity of the first diffraction minimum is revisited for collision energies between 200 and 450 MeV. Transient nuclear excitations in the giant resonance…

Nuclear Theory · Physics 2026-03-12 D. H. Jakubassa-Amundsen

We give the amplitude for $\gamma\gamma \rightarrow \pi^+\pi^-\pi^0$ in leading order chiral perturbation theory. For the case of real photons we calculate the total and differential cross section. Furthermore, we give the dependence of the…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. W. Bos , Y. C. Lin , H. H. Shih

We reanalyse the gamma-gamma scattering data and conclude that in the mass region below 1 GeV the cross section for gamma-gamma to pi^0-pi^0 can be largely explained by the one pion exchange process with pi-pi rescattering. The radiative…

High Energy Physics - Phenomenology · Physics 2007-08-01 G. Mennessier , P. Minkowski , S. Narison , W. Ochs

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

We present fixed-$t$ subtracted dispersion relations for Compton scattering off the nucleon at energies $E_\gamma \leq$ 500 MeV, as a formalism to extract the nucleon polarizabilities with a minimum of model dependence. The subtracted…

High Energy Physics - Phenomenology · Physics 2016-09-06 D. Drechsel , M. Gorchtein , B. Pasquini , M. Vanderhaeghen

Starting from hyperbolic dispersion relations, we derive a system of Roy--Steiner equations for pion Compton scattering that respects analyticity, unitarity, gauge invariance, and crossing symmetry. It thus maintains all symmetries of the…

High Energy Physics - Phenomenology · Physics 2011-09-27 Martin Hoferichter , Daniel R. Phillips , Carlos Schat