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The $\sigma$ resonance was observed as a conspicuous $\pi^+\pi^-$ peak in hadronic decays like $J/\psi\to \pi^+\pi^-\omega$ or $D^+\to\pi^+\pi^-\pi^+$. The phase of the $\sigma\to\pi^+\pi^-$ amplitude, extracted from production data within…

High Energy Physics - Phenomenology · Physics 2008-11-26 Irinel Caprini

Motivated by the 1/Nc expansion, we present a simple model of pion-pion scattering as a sum of a `current-algebra' contact term and resonant pole exchanges. The model preserves crossing symmetry as well as unitarity up to 1.2 GeV. Key…

High Energy Physics - Phenomenology · Physics 2008-11-26 Masayasu Harada , Francesco Sannino , Joseph Schechter

The Compton scattering on a charged pion and the process \gamma\gamma \to \pi^0\pi^0 are studied using the dispersion relations. Unknown parameters of the S-wave \pi\pi interaction, represented as a board Breit-Wignar resonance, and a sum…

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

We improve, in the energy region between $\bar{K}K$ threshold and $\sim~1.4$ GeV, the energy-dependent phase shift analysis of $\pi\pi$ scattering presented in a previous paper. For the S0 wave we have included more data above $\bar{K}K$…

High Energy Physics - Phenomenology · Physics 2014-11-18 R. Kaminski , J. R. Pelaez , F. J. Yndurain

In this work, we present a precise and model--independent method to extract resonance pole parameters from phase-shift scattering data. These parameters are defined from the associated poles in the second Riemann sheet, unfolded by the…

High Energy Physics - Phenomenology · Physics 2015-06-23 Pere Masjuan , Jacobo Ruiz de Elvira , Juan José Sanz-Cillero

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

We present a semi-analytical treatment of both the elastic and inelastic collisional properties near a p-wave Feshbach resonance. Our model is based on a simple three channel system that reproduces more elaborate coupled-channel…

We present a calculation of the phase-shift for $\pi$-$\pi$ scattering in isospin-1, spin-1 channel in the elastic region. The mass and width of the rho resonance is extracted by fitting these phaseshifts. To vary the scattering momentum we…

High Energy Physics - Lattice · Physics 2015-11-20 Dehua Guo , Andrei Alexandru

The elastic and radiative pion(+)-proton scattering are studied in the framework of an effective Lagrangian model for the Delta^{++} resonance and its interactions. The finite width effects of this spin-3/2 resonance are introduced in the…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Lopez Castro , A. Mariano

The problem of scalar mesons still remains a challenging puzzle, for which we do not even know which are the right pieces to set up. The proliferation of resonances (some of them are very broad and appear on top of hadronic thresholds) and…

High Energy Physics - Phenomenology · Physics 2011-03-31 Miguel Albaladejo , Jose A. Oller , Cándido Piqueras

We determine the mass and width of the $\Delta^{++}\ (\Delta^0)$ resonance from data on $\pi^+ p\ (\pi^- p)$ scattering both, in the pole of the $S$-matrix and conventional Breit-Wigner approaches to the scattering amplitude. We provide a…

High Energy Physics - Phenomenology · Physics 2009-09-25 A. Bernicha , G. Lopez Castro , J. Pestieau

We simulate K pi scattering in s-wave and p-wave for both isospins I=1/2, 3/2 using quark-antiquark and meson-meson interpolating fields. We extract the elastic phase shifts delta at several values of the K-pi relative momenta. The…

High Energy Physics - Lattice · Physics 2013-05-20 C. B. Lang , Luka Leskovec , Daniel Mohler , Sasa Prelovsek

We present for the first time a determination of the energy dependence of the isoscalar $\pi\pi$ elastic scattering phase-shift within a first-principles numerical lattice approach to QCD. Hadronic correlation functions are computed…

High Energy Physics - Phenomenology · Physics 2017-01-18 Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

We apply a quark interchange model to spin-dependent and exotic meson-meson scattering. The model includes the complete set of standard quark model forces, including OGE spin-orbit and tensor and scalar confinement spin-orbit. Scattering…

Nuclear Theory · Physics 2014-11-18 T. Barnes , N. Black , E. S. Swanson

Lattice QCD spectra can be used to constrain partial-wave scattering amplitudes that, while satisfying unitarity, do not have to respect crossing symmetry and analyticity. This becomes a particular problem when extrapolated far from real…

High Energy Physics - Lattice · Physics 2024-03-07 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

The $\pi N$ potential includes the t-channel exchanges of the scalar-mesons $\sigma$ and f_0, vector-meson $\rho$, tensor-mesons f_2 and f_2' and the Pomeron as well as the s- and u-channel exchanges of the nucleon N and the resonances…

Nuclear Theory · Physics 2009-11-11 H. Polinder , Th. A. Rijken

The COMPASS collaboration has collected the currently largest data set on diffractively produced $\pi^-\pi^-\pi^+$ final states using a negative pion beam of 190 GeV/c momentum impinging on a stationary proton target. This data set allows…

High Energy Physics - Experiment · Physics 2017-02-24 C. Adolph , R. Akhunzyanov , M. G. Alexeev , G. D. Alexeev , A. Amoroso , V. Andrieux , V. Anosov , W. Augustyniak , A. Austregesilo , C. D. R. Azevedo , B. Badełek , F. Balestra , J. Barth , R. Beck , Y. Bedfer , J. Bernhard , K. Bicker , E. R. Bielert , R. Birsa , J. Bisplinghoff , M. Bodlak , M. Boer , P. Bordalo , F. Bradamante , C. Braun , A. Bressan , M. Büchele , E. Burtin , W. -C. Chang , M. Chiosso , I. Choi , S. U. Chung , A. Cicuttin , M. L. Crespo , Q. Curiel , S. Dalla Torre , S. S. Dasgupta , S. Dasgupta , O. Yu. Denisov , L. Dhara , S. V. Donskov , N. Doshita , V. Duic , W. Dünnweber , M. Dziewiecki , A. Efremov , P. D. Eversheim , W. Eyrich , M. Faessler , A. Ferrero , M. Finger , M. Finger , H. Fischer , C. Franco , N. du Fresne von Hohenesche , J. M. Friedrich , V. Frolov , E. Fuchey , F. Gautheron , O. P. Gavrichtchouk , S. Gerassimov , F. Giordano , I. Gnesi , M. Gorzellik , S. Grabmüller , A. Grasso , M. Grosse Perdekamp , B. Grube , T. Grussenmeyer , A. Guskov , F. Haas , D. Hahne , D. von Harrach , R. Hashimoto , F. H. Heinsius , F. Herrmann , F. Hinterberger , N. Horikawa , N. d'Hose , C. -Y. Hsieh , S. Huber , S. Ishimoto , A. Ivanov , Yu. Ivanshin , T. Iwata , R. Jahn , V. Jary , R. Joosten , P. Jörg , E. Kabuß , B. Ketzer , G. V. Khaustov , Yu. A. Khokhlov , Yu. Kisselev , F. Klein , K. Klimaszewski , J. H. Koivuniemi , V. N. Kolosov , K. Kondo , K. Königsmann , I. Konorov , V. F. Konstantinov , A. M. Kotzinian , O. Kouznetsov , M. Krämer , P. Kremser , F. Krinner , Z. V. Kroumchtein , N. Kuchinski , F. Kunne , K. Kurek , R. P. Kurjata , A. A. Lednev , A. Lehmann , M. Levillain , S. Levorato , J. Lichtenstadt , R. Longo , A. Maggiora , A. Magnon , N. Makins , N. Makke , G. K. Mallot , C. Marchand , B. Marianski , A. Martin , J. Marzec , J. Matoušek , H. Matsuda , T. Matsuda , G. Meshcheryakov , W. Meyer , T. Michigami , Yu. V. Mikhailov , Y. Miyachi , P. Montuenga , A. Nagaytsev , F. Nerling , D. Neyret , V. I. Nikolaenko , J. Nový , W. -D. Nowak , G. Nukazuka , A. S. Nunes , A. G. Olshevsky , I. Orlov , M. Ostrick , D. Panzieri , B. Parsamyan , S. Paul , J. -C. Peng , F. Pereira , M. Pešek , D. V. Peshekhonov , S. Platchkov , J. Pochodzalla , V. A. Polyakov , J. Pretz , M. Quaresma , C. Quintans , S. Ramos , C. Regali , G. Reicherz , C. Riedl , N. S. Rossiyskaya , D. I. Ryabchikov , A. Rychter , V. D. Samoylenko , A. Sandacz , C. Santos , S. Sarkar , I. A. Savin , G. Sbrizzai , P. Schiavon , T. Schlüter , K. Schmidt , H. Schmieden , K. Schönning , S. Schopferer , A. Selyunin , O. Yu. Shevchenko , L. Silva , L. Sinha , S. Sirtl , M. Slunecka , F. Sozzi , A. Srnka , M. Stolarski , M. Sulc , H. Suzuki , A. Szabelski , T. Szameitat , P. Sznajder , S. Takekawa , S. Tessaro , F. Tessarotto , F. Thibaud , F. Tosello , V. Tskhay , S. Uhl , J. Veloso , M. Virius , T. Weisrock , M. Wilfert , J. ter Wolbeek , K. Zaremba , M. Zavertyaev , E. Zemlyanichkina , M. Ziembicki , A. Zink

We present the first calculation of coupled-channel meson-meson scattering in the isospin $=1$, $G$-parity negative sector, with channels $\pi \eta$, $K\overline{K}$ and $\pi \eta'$, in a first-principles approach to QCD. From the discrete…

High Energy Physics - Phenomenology · Physics 2016-05-18 Jozef J. Dudek , Robert G. Edwards , David J. Wilson

The COMPASS experiment at the CERN SPS has studied the diffractive dissociation of negative pions into the pi- pi- pi+ final state using a 190 GeV/c pion beam hitting a lead target. A partial wave analysis has been performed on a sample of…

High Energy Physics - Experiment · Physics 2014-11-20 The COMPASS Collaboration , A. Alekseev

A meson-exchange model for pion-nucleon scattering was previously constructed using a three-dimensional reduction scheme of the Bethe-Salpeter equation for a model Lagrangian involving \pi, \eta, N, \Delta, \rho, and \sigma fields. We…

Nuclear Theory · Physics 2008-11-26 Guan Yeu Chen , S. S. Kamalov , Shin Nan Yang , D. Drechsel , L. Tiator