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We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method…

高能物理 - 格点 · 物理学 2025-02-27 André Baião Raposo , Raúl A Briceño , Maxwell T Hansen , Andrew W Jackura

We compute the I=2 pi-pi scattering length at pion masses of m_pi ~ 294, 348 and 484 MeV in fully-dynamical lattice QCD using Luscher's finite-volume method. The calculation is performed with domain-wall valence-quark propagators on…

高能物理 - 格点 · 物理学 2008-11-26 Silas R. Beane , Paulo F. Bedaque , Kostas Orginos , Martin J. Savage

We extend the application of lattice QCD to the two-photon-mediated, order $\alpha^2$ rare decay $\pi^0\rightarrow e^+ e^-$. By combining Minkowski- and Euclidean-space methods we are able to calculate the complex amplitude describing this…

高能物理 - 格点 · 物理学 2023-05-24 Norman Christ , Xu Feng , Luchang Jin , Cheng Tu , Yidi Zhao

We compute the leading-order low-energy constants of the DeltaS=1 effective weak Hamiltonian in the quenched approximation of QCD with up, down, strange, and charm quarks degenerate and light. They are extracted by comparing the predictions…

高能物理 - 唯象学 · 物理学 2008-11-26 L. Giusti , P. Hernandez , M. Laine , C. Pena , J. Wennekers , H. Wittig

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 $K\to\pi\pi$…

高能物理 - 格点 · 物理学 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 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

The interplay between the finite volume and finite lattice spacing is investigated using lattice QCD simulations to compute the Landau gauge gluon propagator. Comparing several ensembles with different lattice spacings and physical volumes,…

高能物理 - 格点 · 物理学 2018-02-01 Orlando Oliveira , Paulo J. Silva

We calculate the logarithmic corrections to the matrix elements for $K^+\to\pi^+$ and $K\to$vacuum (which are used on the lattice to determine $K\to\pi\pi$ amplitudes), in one-loop quenched and unquenched Chiral Perturbation Theory. We find…

高能物理 - 格点 · 物理学 2015-06-25 Maarten Golterman , Elisabetta Pallante

The low-energy $\pi\pi$ amplitude is computed explicitly to two-loop accuracy in the chiral expansion. It depends only on six independent (combinations of) low-energy constants which are not fixed by chiral symmetry. Four of these constants…

高能物理 - 唯象学 · 物理学 2009-10-28 M. Knecht , B. Moussallam , J. Stern , N. H. Fuchs

The need to determine scattering amplitudes of few-hadron systems for arbitrary kinematics expands a broad set of subfields of modern-day nuclear and hadronic physics. In this work, we expand upon previous explorations on the use of…

高能物理 - 格点 · 物理学 2024-07-31 Marco A. Carrillo , Raúl A. Briceño , Alexandru M. Sturzu

Excited hadrons are seen as resonances in the scattering of lighter stable hadrons like $\pi$, $K$ and $\eta$. Many decay into multiple final states necessitating coupled-channel analyses. Recently it has become possible to obtain…

高能物理 - 格点 · 物理学 2016-11-23 David J. Wilson

In this talk, we present the first chiral extrapolation of a resonant scattering amplitude obtained from lattice QCD. Finite-volume spectra, determined by the Hadron Spectrum Collaboration at $m_\pi = 236$ MeV, for the isotriplet $\pi\pi$…

核理论 · 物理学 2016-06-22 Daniel R. Bolton , Raúl A. Briceño , David J. Wilson

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

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…

高能物理 - 格点 · 物理学 2020-07-08 Yan Li , Jia-Jun Wu , Curtis D. Abell , Derek B. Leinweber , Anthony W. Thomas

Using first-principles calculation within Quantum Chromodynamics, we are able to determine a pattern of strangeness=1 resonances which appear as complex singularities within coupled $\pi K$, $\eta K$ scattering amplitudes. We make use of…

高能物理 - 唯象学 · 物理学 2014-11-05 Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas , David J. Wilson

We evaluate the $\Lambda_c\Sigma_c\pi$ coupling constant ($G_{\Lambda_c \Sigma_c \pi}$) and the width of the strong decay $\Sigma_c \rightarrow\Lambda_c \pi$ in 2+1 flavor lattice QCD on four different ensembles with pion masses ranging…

高能物理 - 格点 · 物理学 2017-03-15 K. U. Can , G. Erkol , M. Oka , T. T. Takahashi

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 the results of our lattice QCD study of the $g_{D^* D\pi}i$ coupling, relevant to the $D^\ast \to D\pi$ decay. Our computation is made on the gauge field configurations that include $N_f=2$ dynamical light quarks by using the…

高能物理 - 格点 · 物理学 2015-06-11 Damir Becirevic , Francesco Sanfilippo

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

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