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We compute the scattering amplitude for pion scattering in Wilson chiral perturbation theory for two degenerate quark flavors. We consider two different regimes where the quark mass m is of order (i) a\Lambda_QCD^2 and (ii)…

高能物理 - 格点 · 物理学 2009-04-13 Sinya Aoki , Oliver Bar , Benedikt Biedermann

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…

高能物理 - 格点 · 物理学 2023-10-16 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

In a recent paper by Xiu-Li Gao, Zhi-Hui Guo, Zhiguang Xiao, and Zhi-Yong Zhou, Phys. Rev. D 105, 094002 (2022), here referred to as I, $S$-wave $\pi\pi$ scattering phase shifts obtained in a lattice-QCD calculation are analyzed using…

高能物理 - 唯象学 · 物理学 2023-03-10 Eef van Beveren , George Rupp

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…

高能物理 - 格点 · 物理学 2026-03-09 Hang Liu , Liuming Liu , Jin-Xin Tan , Wei Wang , Haobo Yan , Qian-Teng Zhu

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

We report the first lattice QCD results of the scattering amplitudes of the $K\pi$ system for $I = 1/2$ channel together with $I=3/2$ case. We investigate all quark diagrams contributing to these iso-spin states, and find that the…

高能物理 - 格点 · 物理学 2011-08-22 Junichi Nagata , Shin Muroya , Atsushi Nakamura

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…

高能物理 - 格点 · 物理学 2022-03-02 Zachary T. Draper , Stephen R. Sharpe

We present the first lattice QCD calculation of single-channel $DD$ scattering with quantum numbers $I(J^P)=1(0^+)$ and $0(1^-)$. The calculation is performed on the $2+1$ flavor Wilson-Clover ensembles with a lattice spacing $a\simeq…

高能物理 - 格点 · 物理学 2025-02-12 Pan-Pan Shi , Feng-Kun Guo , Chuan Liu , Liuming Liu , Peng Sun , Jia-Jun Wu , Hanyang Xing

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…

We use lattice QCD and the L\"uscher method to study elastic pion-nucleon scattering in the isospin $I = 3/2$ channel, which couples to the $\Delta(1232)$ resonance. Our $N_f=2+1$ flavor lattice setup features a pion mass of $m_\pi \approx…

A new evaluation of the universal $\pi\pi$ scattering length relation is used to extract the $\pi\pi$ $s$-wave scattering lengths from threshold pion production data. Previous work has shown that the chiral perturbation series relating…

高能物理 - 唯象学 · 物理学 2009-10-30 M. G. Olsson

In this work, we calculate meson-baryon scattering phase shifts in four channels using lattice QCD methods. From a set of calculations at four volumes, corresponding to spatial sizes of 2, 2.5, 3, and 4 fm, and a pion mass of m_pi ~ 390…

高能物理 - 格点 · 物理学 2016-06-28 William Detmold , Amy Nicholson

We report on the pion-pion scattering length in the I=2 channel using the parametrized fixed point action. Pion masses of 320 MeV were reached in this quenched calculation of the scattering length.

高能物理 - 格点 · 物理学 2019-08-14 K. J. Juge

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 preliminary results of scattering length and phase shift for I=2 S-wave $\pi\pi$ system with the Wilson fermions in the quenched approximation. The finite size method presented by L\"uscher is employed, and calculations are…

We present a lattice calculation of the charged/neutral pion mass difference $M_{\pi^{+}}-M_{\pi^{0}}$ at order $\mathcal{O}(\alpha_{em})$ using the gauge configurations produced by the Extended Twisted Mass Collaboration with $N_{f}=2+1+1$…

高能物理 - 格点 · 物理学 2022-07-20 R. Frezzotti , G. Gagliardi , V. Lubicz , G. Martinelli , F. Sanfilippo , S. Simula

We have performed a systematical calculation of the pion ($\pi, K, \eta$) and heavy pseudoscalar meson S-wave scattering lengths up to ${\cal O}(p^3)$ in the chiral perturbation theory in the heavy quark symmetry limit. With the three…

高能物理 - 唯象学 · 物理学 2009-07-30 Yan-Rui Liu , Xiang Liu , Shi-Lin Zhu

We present the first-ever lattice computation of pi pi-scattering in the I=1 channel with Nf=2 dynamical quark flavours obtained including an ensemble with physical value of the pion mass. Employing a global fit to data at three values of…

The calculation of the finite lattice spacing corrections for I=2 pi-pi scattering is carried out for isotropic and anisotropic Wilson lattice actions. Pion masses and decay constants are also determined in this context. These results…

高能物理 - 格点 · 物理学 2008-11-26 Michael I. Buchoff

The $I=1$ $p$-wave and $I=2$ $s$-wave elastic $\pi$-$\pi$ scattering amplitudes are calculated from a first-principles lattice QCD simulation using a single ensemble of gauge field configurations with $N_{\mathrm{f}} = 2+1$ dynamical…

高能物理 - 格点 · 物理学 2016-08-24 John Bulava , Brendan Fahy , Ben Hörz , Keisuke J. Juge , Colin Morningstar , Chik Him Wong