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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…

高能物理 - 格点 · 物理学 2014-12-02 Christopher Helmes , Christian Jost , Bastian Knippschild , Liuming Liu , Carsten Urbach , Markus Werner

We calculate the two-pion wave function in the ground state of the I=2 $S$-wave system and find the interaction range between two pions, which allows us to examine the validity of the necessary condition for the finite-volume method for the…

Preliminary lattice QCD results for $D\pi$ scattering in isospin $I=\frac{1}{2}$ channel are presented. Utilizing the $N_f=2+1$ Wilson-Clover configuration at two volumes ($L^3 \times T=32^3 \times 96$ and $48^3 \times 96$) with the same…

高能物理 - 格点 · 物理学 2023-12-05 Haobo Yan , Chuan Liu , Liuming Liu , Yu Meng , Hanyang Xing

The s-wave pion-pion ($\pi\pi$) scattering lengths are computed below the inelastic threshold by the L\"uscher technique with pion masses ranging from 240 MeV to 463 MeV. In the Asqtad-improved staggered fermion formulation, we calculate…

高能物理 - 格点 · 物理学 2013-04-03 Ziwen Fu

We study s-wave pion-pion ($\pi\pi$) scattering length in lattice QCD for pion masses ranging from 330 MeV to 466 MeV. In the "Asqtad" improved staggered fermion formulation, we calculate the $\pi\pi$ four-point functions for isospin I=0…

高能物理 - 格点 · 物理学 2015-05-30 Ziwen Fu

In this report we describe both I=2 and I=0 pi-pi scattering for twisted mass lattice QCD utilizing twisted mass chiral perturbation theory at next-to-leading order. Focusing on the lattice spacing (b) corrections, we demonstrate that in…

高能物理 - 格点 · 物理学 2009-09-28 Michael I Buchoff , Jiunn-Wei Chen , Andre Walker-Loud

We present a lattice QCD study of the phase shift of $I{=}2$ $\pi\pi$ scattering on the basis of two different approaches: the standard finite volume approach by Luscher and the recently introduced HAL QCD potential method. Quenched QCD…

高能物理 - 格点 · 物理学 2013-12-06 T. Kurth , N. Ishii , T. Doi , S. Aoki , T. Hatsuda

We present results of phase shift for I=2 $S$-wave $\pi\pi$ system with the Wilson fermions in the quenched approximation. The finite size method proposed by L\"uscher is employed, and calculations are carried out at $\beta=5.9$…

We study isospin-1 P-wave $\pi\pi$ scattering in lattice QCD with two flavours of O($a$) improved Wilson fermions. For pion masses ranging from $m_\pi=265$ MeV to $m_\pi=437$ MeV, we determine the energy spectrum in the centre-of-mass frame…

高能物理 - 格点 · 物理学 2020-03-17 Felix Erben , Jeremy R. Green , Daniel Mohler , Hartmut Wittig

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…

高能物理 - 唯象学 · 物理学 2012-09-20 Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

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…

高能物理 - 格点 · 物理学 2015-05-30 Ziwen Fu

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…

We construct the effective field theory appropriate for describing the low energy behavior of anisotropic Wilson lattice actions and the O(a) improved variant thereof. We then apply this effective field theory to the hadron spectrum and…

高能物理 - 格点 · 物理学 2008-06-16 Paulo F. Bedaque , Michael I. Buchoff , Andre Walker-Loud

The accuracy of the lattice QCD computation of hadron-hadron scattering at low isospin depends critically on the ability to compute correlation functions with fermionic disconnected Wick contractions. This happens, for instance, in isospin…

高能物理 - 格点 · 物理学 2019-05-07 N. Ripunjay Acharya , Feng-Kun Guo , Ulf-G. Meißner , Chien-Yeah Seng

We report on a lattice QCD calculation of the I=2 $\pi\pi$ scattering length using the overlap fermion formulation for both sea and valence quarks. We investigate the consistency of the lattice data with the prediction of the…

高能物理 - 格点 · 物理学 2011-08-16 Takuya Yagi , Shoji Hashimoto , Osamu Morimatsu , Munehisa Ohtani

We calculate the two-pion wave function for the I=2 $S$-wave two-pion system with a finite scattering momentum and estimate the interaction range between two pions. It allows us to examine the validity of the necessary condition for the…

高能物理 - 格点 · 物理学 2008-11-26 Kiyoshi Sasaki , Naruhito Ishizuka

The elastic $I=1$ $p$-wave $\pi\pi$ scattering amplitude is calculated together with the isovector timelike pion form factor using lattice QCD with $N_{\rm f}=2+1$ dynamical quark flavors. Wilson clover ensembles generated by the…

高能物理 - 格点 · 物理学 2019-01-30 Christian Andersen , John Bulava , Ben Hörz , Colin Morningstar

This work presents a lattice quantum chromodynamics (QCD) determination of $\pi\pi\pi$ scattering amplitudes for the isospin-2 channel with angular momentum and parity $J^{P} = 1^+$. The calculation is performed using unphysically heavy…

高能物理 - 格点 · 物理学 2025-11-19 Raúl A. Briceño , Maxwell T. Hansen , Andrew W. Jackura , Robert G. Edwards , Christopher E. Thomas

We present our study of $\pi-N$ scattering in the iso-spin $I=3/2$ channel for the first time at the physical point. The calculation is performed using $N_f=2+1+1$ flavors of twisted mass fermions with clover improvement at physical pion…

The $S$-wave $\pi K$ scattering lengths are calculated for both the isospin 1/2 and 3/2 channels in the lattice QCD by using the finite size formula. We perform the calculation with $N_f=2+1$ gauge configurations generated on $32^3 \times…

高能物理 - 格点 · 物理学 2010-02-23 Kiyoshi Sasaki , Naruhito Ishizuka , Takeshi Yamazaki , Makoto Oka , for PACS-CS Collaboration