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From recent analysis of the $\pi\pi$ scattering amplitude, it has been claimed that there exists a broad and light $\sigma$ meson. However, if this meson really exists, it must also appear in other observables such as the pion scalar form…

High Energy Physics - Phenomenology · Physics 2008-11-26 Torben Hannah

A problem of analytical continuation of scattering data to the negative-energy region to obtain information about bound states is discussed within an exactly solvable potential model. This work is continuation of the previous one by the…

Nuclear Theory · Physics 2018-02-14 L. D. Blokhintsev , A. S. Kadyrov , A. M. Mukhamedzhanov , D. A. Savin

Low-energy partial-wave $\pi N$ scattering data is reexamined with the help of the production representation of partial-wave $S$ matrix, where branch cuts and poles are thoroughly under consideration. The left-hand cut contribution to the…

High Energy Physics - Phenomenology · Physics 2019-01-01 Yu-Fei Wang , De-Liang Yao , Han-Qing Zheng

Based on a sample of 7.8 million BESI $J/\psi$ events, the decay of $ J/\psi \to \omega \pi^+ \pi^-$ is studied. A low mass enhancement in the $\pi^+ \pi^-$ invariant mass spectrum recoiling against $\omega$ particle is clearly seen which…

High Energy Physics - Experiment · Physics 2012-08-27 BES Collaboration

The scattering lengths of the pi Sigma systems are key quantities in understanding the structure of the Lambda(1405) resonance and the subthreshold extrapolation of the barK N interaction. We demonstrate that the pi Sigma scattering lengths…

Nuclear Theory · Physics 2011-09-06 Tetsuo Hyodo , Makoto Oka

We study I=0 $d$ wave $\pi\pi$ scattering phase shift using a proper unitarization approach. It is verified that the $f_2(1270)$ resonance corresponds to a twin pole structure: one on the second sheet, another one on the third sheet. Also…

High Energy Physics - Phenomenology · Physics 2010-02-03 Jian-jun Wang , Z. Y. Zhou , H. Q. Zheng

We improve our description of pion-pion scattering data by imposing additional requirements to our previous fits, in the form of once-subtracted Roy-like equations, while extending our analysis up to 1100 MeV. We provide simple and ready to…

High Energy Physics - Phenomenology · Physics 2011-04-22 R. García- Martín , R. Kamiński , J. R. Peláez , J. Ruiz de Elvira , F. J. Ynduráin

I describe the current status of the theory of pi pi scattering, reviewing in particular recent work on the numerical solution of Roy equations and on the matching between these and the chiral representation. I discuss numerical results on…

High Energy Physics - Phenomenology · Physics 2017-08-23 Gilberto Colangelo

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

A new approach to the analysis of three body decays is presented. Measurements of the S-wave K pi amplitude are made in independent ranges of invariant mass from threshold up to the upper kinematic limit in D+ to K-pi+pi+ decays. These are…

High Energy Physics - Experiment · Physics 2012-08-27 Fermilab E791 , : , E. Aitala

The phase variation of the sigma -> pi-pi amplitude is accurately determined as a function of mass from BES II data for J/Psi -> omega-pi-pi. The determination arises from interference with the strong b1(1235)-pi amplitude. The observed…

High Energy Physics - Experiment · Physics 2009-11-10 D. V. Bugg

In this proceeding, we illustrate the applicability of a new parameterization of the S-wave amplitude on the example of the $\pi\pi \to \pi\pi$ and $\pi K \to \pi K $ lattice data ($m_\pi \sim 240$ MeV) from the HadSpec collaboration. The…

High Energy Physics - Phenomenology · Physics 2023-02-17 Volodymyr Biloshytskyi , Igor Danilkin , Xiu-Lei Ren , Marc Vanderhaeghen

In this paper, the $IJ=00, 11, 20$ partial wave $\pi\pi$ scattering phase shifts determined by the lattice QCD approach are analyzed by using a novel dispersive solution of the S-matrix, i.e. the PKU representation, in which the unitarity…

High Energy Physics - Phenomenology · Physics 2022-05-18 Xiu-Li Gao , Zhi-Hui Guo , Zhiguang Xiao , Zhi-Yong Zhou

A method to determine the running of alpha from a measurement of small-angle Bhabha scattering is proposed and worked out. The method is suited to high statistics experiments at e+e- colliders, which are equipped with luminometers in the…

High Energy Physics - Phenomenology · Physics 2009-11-10 A. B. Arbuzov , D. Haidt , C. Matteuzzi , M. Paganoni , L. Trentadue

A new method is proposed for extrapolation of elastic-scattering data to the negative-energy region for a short-range interaction. The method is based on the analytic approximation of the modulus-squared of the partial-wave scattering…

Nuclear Theory · Physics 2019-09-04 L. D. Blokhintsev , A. S. Kadyrov , A. M. Mukhamedzhanov , D. A. Savin

The cusp effect in K \to 3\pi and data on K_e4 decays allow one to extract experimental information on the elastic \pi\pi scattering amplitude near threshold, and to confront the outcome of the analyses with predictions made in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Gasser

Both sigma and kappa are well established from E791 data on D->3pi and Ds->Kpipi and BES II data on J/Psi -> omega pi pi and KKpipi. These fits are accurately consistent with pipi and Kpi elastic scattering when one allows for the Adler…

High Energy Physics - Experiment · Physics 2007-05-23 D. V. Bugg

Using 14M $\psi(2S)$ events accumulated by BESII at the BEPC, a Covariant Helicity Amplitude Analysis is performed for $\psi(2S)\to\pi^+\pi^-J/\psi, J/\psi\to \mu^+\mu^-$. The $\pi^+\pi^-$ mass spectrum, distinctly different from phase…

High Energy Physics - Experiment · Physics 2012-08-03 BES Collaboration , M. Ablikim

We explore the nature of the$\sigma$ or $f_0(600)$ meson using large $N_c$ technique, assuming that the $\sigma$ pole dominates low energy physics in the IJ=00 channel. We trace the $N_c$ dependence of the $\sigma$ pole position using [1,1]…

High Energy Physics - Phenomenology · Physics 2008-11-26 Z. X. Sun , L. Y. Xiao , Z. G. Xiao , H. Q. Zheng

A simultaneous analysis (in the model-independent approach) of the $\pi\pi$ scattering (from the threshold to 1.9 GeV) and of the $\pi\pi\to K\overline{K}$ process (from the threshold to $\sim$ 1.46 GeV) is carried out in channel with…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yu. S. Surovtsev , D. Krupa , M. Nagy
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