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Related papers: I=2 pi-pi Scattering from Fully-Dynamical Mixed-Ac…

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In an exploratory study, using the tadpole improved clover Wilson quark action on small, coarse and anisotropic lattices, the $\pi\pi$ scattering length in the I=2 channel is calculated within quenched approximation. A new method is…

High Energy Physics - Lattice · Physics 2009-11-07 Chuan Liu , Junhua Zhang , Ying Chen , J. P. Ma

The $I=\frac{3}{2}$ $\pi K$ $s$-wave scattering phase shift is computed by lattice quantum chromodynamics with $N_f=3$ flavors of Asqtad-improved staggered fermions. The energy-eigenvalues of $\pi K$ systems at one center of mass frame and…

High Energy Physics - Lattice · Physics 2026-02-06 Ziwen Fu , Qu-Zhi Li , Jun Wang

We present a direct lattice QCD calculation of the $\kappa$ meson decay width with the s-wave scattering phase shift for the isospin $I=1/2$ pion-kaon ($\pi K$) system. We employ a special finite size formula, which is the extension of the…

High Energy Physics - Lattice · Physics 2015-05-30 Ziwen Fu

The s-wave pion-kaon ($\pi K$) scattering lengths at zero momentum are calculated in lattice QCD with sufficiently light $u/d$ quarks and strange quark at its physical value by the finite size formula. The light quark masses correspond to…

High Energy Physics - Lattice · Physics 2012-04-04 Ziwen Fu

Isospin-1/2 $D\pi$ scattering amplitudes are computed using lattice QCD, working in a single volume of approximately $(3.6\; \mathrm{fm})^3$ and with a light quark mass corresponding to $m_\pi\approx239$ MeV. The spectrum of the elastic…

High Energy Physics - Lattice · Physics 2021-08-30 Luke Gayer , Nicolas Lang , Sinéad M. Ryan , David Tims , Christopher E. Thomas , David J. Wilson

Pi-Pi scattering is investigated for the first time for Nf=2+1+1 dynamical quark flavours using Wilson twisted mass fermions. L\"uscher's finite size method is used to relate energy shifts in finite volume to scattering quantities like the…

High Energy Physics - Lattice · Physics 2014-12-02 Christopher Helmes , Christian Jost , Bastian Knippschild , Liuming Liu , Carsten Urbach , Markus Werner

We present a determination of the isovector, $P$-wave $\pi\pi$ scattering phase shift obtained by extrapolating recent lattice QCD results from the Hadron Spectrum Collaboration using $m_\pi =236$ MeV. The finite volume spectra are…

High Energy Physics - Phenomenology · Physics 2016-04-12 Daniel R. Bolton , Raul A. Briceno , David J. Wilson

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

We study theoretically the effects of finite volume for pipi scattering in order to extract physical observables for infinite volume from lattice QCD. We compare three different approaches for pipi scattering (lowest order Bethe-Salpeter…

High Energy Physics - Lattice · Physics 2015-06-05 M. Albaladejo , J. A. Oller , E. Oset , G. Rios , L. Roca

We study pion-pion scattering in partially-quenched twisted-mass lattice QCD using chiral perturbation theory. The specific partially-quenched setup corresponds to that used in numerical lattice QCD calculations of the $I=0$ scattering…

High Energy Physics - Lattice · Physics 2022-03-02 Zachary T. Draper , Stephen R. Sharpe

Using the tadpole improved Wilson quark action on small, coarse and anisotropic lattices, $K\pi$ scattering length in the $I=3/2$ channel is calculated within quenched approximation. The results are extrapolated towards the chiral and…

High Energy Physics - Lattice · Physics 2009-11-10 Chuan Miao , Xining Du , Guangwei Meng , Chuan Liu

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

The isospin-2 pi pi system provides a useful testing ground for determining elastic hadron scattering parameters from finite-volume spectra obtained using lattice QCD computations. A reliable determination of the excited state spectrum of…

High Energy Physics - Phenomenology · Physics 2012-09-20 Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We present a lattice QCD calculation of the scattering phase shift for the I=2 $S$-wave two-pion system using the finite size method proposed by L\"uscher. We work in the quenched approximation employing the standard plaquette action at…

pi pi scattering at low energy is sensitive to the structure of the QCD vacuum. I review the calculations of the pi pi scattering lengths and phases, and group them in three cathegories: 1. those based on very general theoretical…

High Energy Physics - Phenomenology · Physics 2008-11-26 Gilberto Colangelo

We use 2HEX smeared gauge configurations generated with an $\mathrm{N}_\mathrm{f}\mathrm{=2+1}$ clover improved Wilson action to investigate $\pi\pi$ scattering in the $\rho$ channel. The range of lattice spacings (0.054 to 0.12 fm) and…

High Energy Physics - Lattice · Physics 2019-08-14 Thibaut Metivet

Using lattice QCD we extract $\pi\pi$ scattering amplitudes with isospin--0,1,2 in low partial-waves at two values of the light quark mass corresponding to $m_\pi \sim 283$ and $330$ MeV. We confirm expectations of weak repulsion in…

High Energy Physics - Lattice · Physics 2023-10-16 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

Calculations of the elastic $I=\frac{3}{2}$ nucleon-pion scattering phase shifts on two lattice QCD ensembles with $m_\pi=200\mathrm{MeV}$ and $280\mathrm{MeV}$ are presented. The ensembles both employ $N_\mathrm{f} = 2+1$ Wilson clover…

High Energy Physics - Lattice · Physics 2019-11-25 Christian Walther Andersen , John Bulava , Ben Hörz , Colin Morningstar

We calculate the parameters describing elastic $I=1$, $P$-wave $\pi\pi$ scattering using lattice QCD with $2+1$ flavors of clover fermions. Our calculation is performed with a pion mass of $m_\pi \approx 320\:\:{\rm MeV}$ and a lattice size…

Lattice QCD studies of hadron-hadron interactions are performed by computing the energy levels of the system in a finite box. The shifts in energy levels proportional to inverse powers of the volume are related to scattering parameters in a…

High Energy Physics - Lattice · Physics 2014-11-17 Paulo F. Bedaque , Ikuro Sato , Andre Walker-Loud