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相关论文: The energy-dependent $\pi^+ \pi^+ \pi^+$ scatterin…

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We analyze the spectrum of two- and three-pion states of maximal isospin obtained recently for isosymmetric QCD with pion mass $M\approx 200\;$MeV in Ref. [1]. Using the relativistic three-particle quantization condition, we find $\sim 2…

高能物理 - 格点 · 物理学 2021-03-16 Tyler D. Blanton , Fernando Romero-López , Stephen R. Sharpe

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 determine the energy-dependent amplitude for elastic {\pi}{\pi} P-wave scattering in isospin-1 by computing part of the discrete energy spectrum of QCD in finite cubic boxes. We observe a rapidly rising phase shift that can be well…

高能物理 - 唯象学 · 物理学 2014-10-24 Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We use lattice QCD calculations of the finite-volume spectra of systems of two and three mesons to determine, for the first time, three-particle scattering amplitudes with physical quark masses. Our results are for combinations of $\pi^+$…

We present the three-pion spectrum with maximal isospin in a finite volume determined from lattice QCD, including excited states in addition to the ground states across various irreducible representations at zero and nonzero total momentum.…

高能物理 - 格点 · 物理学 2019-10-09 Ben Hörz , Andrew Hanlon

We present a determination of the isospin-1/2 elastic $\pi K$ scattering amplitudes in S and P partial waves using lattice Quantum Chromodynamics. The amplitudes, constrained for a large number of real-valued energy points, are obtained as…

高能物理 - 格点 · 物理学 2019-07-31 David J. Wilson , Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

We present a numerical exploration of the relativistic-field-theory (RFT) formalism for three pions with all possible values of non-maximal isospin, $I_{\pi\pi\pi} = 2$, $1$ and $0$. Using the generic-isospin extension of the RFT formalism…

高能物理 - 格点 · 物理学 2025-08-18 Athari Alotaibi , Maxwell T. Hansen , Raúl A. Briceño

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…

高能物理 - 唯象学 · 物理学 2017-01-18 Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

We present the first direct $N_f=2$ lattice QCD computation of two- and three-$\pi^+$ scattering quantities that includes an ensemble at the physical point. We study the quark mass dependence of the two-pion phase shift, and the…

高能物理 - 格点 · 物理学 2021-05-26 Matthias Fischer , Bartosz Kostrzewa , Liuming Liu , Fernando Romero-López , Martin Ueding , Carsten Urbach

Lattice QCD results for isospin $I=\frac{1}{2}$ $D\pi$ scattering are presented. Utilizing a series of $N_{\text{f}}=2+1$ Wilson-Clover ensembles with pion masses of $m_\pi \approx 132, 208, 305$ and $317$ MeV, various two-particle…

高能物理 - 格点 · 物理学 2024-11-05 Haobo Yan , Chuan Liu , Liuming Liu , Yu Meng , Hanyang Xing

We present a generalization of the relativistic, finite-volume, three-particle quantization condition for non-identical pions in isosymmetric QCD. The resulting formalism allows one to use discrete finite-volume energies, determined using…

高能物理 - 格点 · 物理学 2021-01-01 Maxwell T. Hansen , Fernando Romero-López , Stephen R. Sharpe

Elastic nucleon-pion scattering amplitudes are computed using lattice QCD on a single ensemble of gauge field configurations with $N_{\rm f} = 2+1$ dynamical quark flavors and $m_{\pi} = 200~{\rm MeV}$. The $s$-wave scattering lengths with…

We study systems of two and three mesons composed of pions and kaons at maximal isospin using four CLS ensembles with $a\approx 0.063\;$fm, including one with approximately physical quark masses. Using the stochastic Laplacian-Heaviside…

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

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…

高能物理 - 格点 · 物理学 2021-08-30 Luke Gayer , Nicolas Lang , Sinéad M. Ryan , David Tims , Christopher E. Thomas , David J. Wilson

The ab-initio understanding of hadronic three-body systems above threshold, such as exotic resonances or the baryon spectrum, requires the mapping of the finite-volume eigenvalue spectrum, produced in lattice QCD calculations, to the…

高能物理 - 格点 · 物理学 2019-02-20 Maxim Mai , Michael Doring

Pion-pion elastic scattering in the isospin I=2 channel is investigated in two-flavor dynamical lattice QCD. Six ensembles are used with lattices elongated in one of the spatial dimensions at two quark masses corresponding to a pion mass of…

高能物理 - 格点 · 物理学 2019-08-21 C. Culver , M. Mai , A. Alexandru , M. Doring , F. X. Lee

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

Following Polchinski and Strassler [1] and our previous work [2], we study high-energy pion scattering in the holographic QCD hard-wall model. In particular, we focus on comparing our predictions for the angular dependence of $\pi^{+}…

高能物理 - 唯象学 · 物理学 2026-04-08 Adi Armoni , Dorin Weissman

Scattering and transition amplitudes with three-hadron final states play an important role in nuclear and particle physics. However, predicting such quantities using numerical Lattice QCD is very difficult, in part because of the effects of…

高能物理 - 格点 · 物理学 2015-11-17 Maxwell T. Hansen
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