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Threshold expansions of the $\pi\pi$ and $K\overline{K}$ spin 0 and isospin 0 scattering amplitudes are performed. Scattering lengths, effective ranges and so--called volume parameters are evaluated. Good agreement with the existing…

High Energy Physics - Phenomenology · Physics 2009-10-28 R. Kaminski , L. Lesniak

We present a calculation for the $K^+\to\pi^+ \pi^0 $ decay amplitude using a quenched simulation of lattice QCD with the Wilson quark action at $\beta=6/g^2=6.1$. The decay amplitude is extracted from the ratio, the $K\to\pi\pi$…

High Energy Physics - Lattice · Physics 2009-10-30 JLQCD Collaboration , S. Aoki , M. Fukugita , S. Hashimoto , N. Ishizuka , Y. Iwasaki , K. Kanaya , Y. Kuramashi , M. Okawa , A. Ukawa , T. Yoshié

We present an exploratory calculation of the $I=2$ $\pi-\pi$ scattering amplitude at threshold using Wilson fermions in the quenched approximation, including all the required contractions. We find good agreement with the predictions of…

High Energy Physics - Lattice · Physics 2009-10-22 Rajan Gupta , Apoorva Patel , Stephen Sharpe

We deliver an exploratory lattice QCD examination of the $K^\ast(892)$ meson decay width with the help of the p-wave scattering phase $\delta_1$ of pion-kaon ($\pi K$) system in the isospin $I=1/2$ channel, which are extracted by the…

High Energy Physics - Lattice · Physics 2012-11-09 Ziwen Fu , Kan Fu

We present a first systematic study of $I=1/2$ proton-$\Lambda$ ($p$-$\Lambda$) scattering from lattice QCD, using seven sets of $(2+1)$-flavor lattice ensembles with pion masses spanning 135-317 MeV and three lattice spacings with…

High Energy Physics - Lattice · Physics 2026-03-09 Hang Liu , Liuming Liu , Jin-Xin Tan , Wei Wang , Haobo Yan , Qian-Teng Zhu

Employing the maximum entropy method we extract the spectral functions from meson correlators at four lattice spacings in quenched QCD with the Wilson quark action. We confirm that the masses and decay constants, obtained from the position…

We study forward and backward pi-pi scattering within a QCD model based on the Dyson--Schwinger, Bethe--Salpeter equations truncated to the rainbow-ladder level. Our microscopic relativistic quark formulation preserves chiral symmetry and…

High Energy Physics - Phenomenology · Physics 2009-11-07 Stephen R. Cotanch , Pieter Maris

Knowledge of the details of the $S$-wave $K\pi$ and $\pi\pi$ systems limits the precision of measurements of heavy quark meson properties. This talk covers recent experimental developments in parametrizing and measuring these waves, and…

High Energy Physics - Experiment · Physics 2011-06-15 B. Meadows

$K\pi$ $S$ wave scattering is studied using a chiral unitary approach (ChUT) taking into account coupled channels. With the amplitudes derived from the lowest order chiral Lagrangian as the kernel of a set of coupled channel Bathe-Salpeter…

High Energy Physics - Phenomenology · Physics 2008-11-26 Feng-Kun Guo , Rong-Gang Ping , Peng-Nian Shen , Huan-Ching Chiang , Bing-Song Zou

We review our analysis of $\pi K$ scattering using forward dispersion relations. The method yields a set of simple parameterizations that are compatible with forward dispersion relations up to 1.6 GeV while still describing the data. Once…

High Energy Physics - Phenomenology · Physics 2017-07-17 A. Rodas

We investigate the $I=1$ $\pi \pi$ interaction using the HAL QCD method in lattice QCD. We employ the (2+1)-flavor gauge configurations on $32^3 \times 64$ lattice at the lattice spacing $a \approx 0.0907$ fm and $m_{\pi} \approx 411$ MeV,…

High Energy Physics - Lattice · Physics 2021-09-29 Yutaro Akahoshi , Sinya Aoki , Takumi Doi

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

The spectrum of excited states observed in the finite volume of lattice QCD is governed by the discrete symmetries of the cubic group. This finite group permits the mixing of orbital angular momentum quanta in the finite volume. As…

High Energy Physics - Lattice · Physics 2020-07-08 Yan Li , Jia-Jun Wu , Curtis D. Abell , Derek B. Leinweber , Anthony W. Thomas

We calculated the first two moments of the light-cone distribution amplitudes for the pseudoscalar mesons ($\pi$ and $K$) and the longitudinally polarised vector mesons ($\rho$, $K^*$ and $\phi$) as part of the UKQCD and RBC collaborations'…

High Energy Physics - Lattice · Physics 2010-11-15 R. Arthur , P. A. Boyle , D. Brömmel , M. A. Donnellan , J. M. Flynn , A. Jüttner , H. Pedroso de Lima , T. D. Rae , C. T. Sachrajda , B. Samways

We present an investigation of pion-nucleon elastic scattering in the $I\,(J^P) = \frac{3}{2}\,(\frac{3}{2}^+)$ channel using lattice QCD with degenerate up and down, strange and charm quarks with masses tuned to their physical values. We…

We evaluate analytically the elastic $\pi\pi$ scattering amplitude to two loops in chiral perturbation theory and give numerical values for the two $S$--wave scattering lengths and for the phase shift difference $\delta_0^0-\delta_1^1$.

High Energy Physics - Phenomenology · Physics 2008-11-26 J. Bijnens , G. Colangelo , G. Ecker , J. Gasser , M. E. Sainio

A new unitarization approach incorporated with chiral symmetry is established and applied to study the $\pi K$ elastic scatterings. We demonstrate that the $\kappa$ resonance exists, if the scattering length parameter in the I=1/2, J=0…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Q. Zheng , Z. Y. Zhou , G. Y. Qin , Z. G. Xiao , J. J. Wang , N. Wu

We present highly excited spectra of charmonium, charm-light and charm-strange mesons using the dynamical anisotropic lattices of the Hadron Spectrum Collaboration. The use of novel techniques has allowed us to extract these spectra with a…

High Energy Physics - Lattice · Physics 2013-12-06 Graham Moir , Michael Peardon , Sinead M. Ryan , Christopher E. Thomas , Liuming Liu

The NA48/2 collaboration has shown clear experimental evidence for a cusp in the data for K -> pi pi^0 pi^0. This effect can be used to extract information on the pi-pi scattering lengths. We address this issue using a two-loop dispersive…

High Energy Physics - Phenomenology · Physics 2012-01-23 Karol Kampf , Marc Knecht , Jiri Novotny , Martin Zdrahal

We present a determination of the $P$-wave $\pi\pi\to\pi\gamma^\star$ transition amplitude from lattice quantum chromodynamics. Matrix elements of the vector current in a finite-volume are extracted from three-point correlation functions,…

High Energy Physics - Phenomenology · Physics 2016-06-15 Raúl A. Briceño , Jozef J. Dudek , Robert G. Edwards , Christian J. Shultz , Christopher E. Thomas , David J. Wilson