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相关论文: Connecting physical resonant amplitudes and lattic…

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Within a formulation of $\pi\pi$ scattering, we investigate the use of the finite-volume Hamiltonian approach to resolving scattering observables from lattice QCD spectra. We consider spectra in the centre-of-mass and moving frames for both…

高能物理 - 格点 · 物理学 2016-06-22 Jia-Jun Wu , T. -S. Harry Lee , Derek B. Leinweber , A. W. Thomas , Ross D. Young

Focusing on three-pion states with maximal isospin ($\pi^+\pi^+\pi^+$), we present the first non-perturbative determination of an energy-dependent three-hadron scattering amplitude from first-principles QCD. The calculation combines…

高能物理 - 格点 · 物理学 2021-03-04 Maxwell T. Hansen , Raul A. Briceño , Robert G. Edwards , Christopher E. Thomas , David J. Wilson

Phase shifts and resonance parameters can be obtained from finite-volume lattice spectra for interacting pairs of particles, moving with nonzero total momentum. We present a simple derivation of the method that is subsequently applied to…

高能物理 - 格点 · 物理学 2012-11-07 M. Döring , U. -G. Meißner , E. Oset , A. Rusetsky

In order to explore the spectrum of hidden-charm scalar and tensor resonances, we study meson-meson scattering with $J^{PC}=0^{++}, 2^{++}$ in the charmonium energy region using lattice QCD. Employing a light-quark mass corresponding to…

高能物理 - 格点 · 物理学 2024-08-07 David J. Wilson , Christopher E. Thomas , Jozef J. Dudek , Robert G. Edwards

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

We obtain reliable $\pi\pi$ scattering amplitudes consistent with experimental data, both at low and high energies, and fulfilling appropriate analyticity properties. We do this by first fitting experimental low energy ($s^{1/2}\leq1.42…

高能物理 - 唯象学 · 物理学 2009-11-10 J. R. Pelaez , F. J. Yndurain

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 present $I=1/2$ $D^\ast\pi$ scattering amplitudes from lattice QCD and determine two low-lying $J^P=1^+$ axial-vector $D_1$ states and a $J^P=2^+$ tensor $D_2^\ast$. Computing finite-volume spectra at a light-quark mass corresponding to…

高能物理 - 唯象学 · 物理学 2022-12-23 Nicolas Lang , David J. Wilson

Elastic $S-$wave scattering of a charm meson with a light pseudoscalar meson in $J^P =0^+$ is investigated in the flavour $\bar{\mathbf{3}}$, $\mathbf{6}$ and $\overline{\mathbf{15}}$ sectors at the $SU(3)_f$ flavour point using lattice…

高能物理 - 格点 · 物理学 2024-08-13 J. Daniel E. Yeo , Christopher E. Thomas , David J. Wilson

We present the first lattice QCD study of coupled isoscalar $\pi\pi,K\overline{K},\eta\eta$ $S$- and $D$-wave scattering extracted from discrete finite-volume spectra computed on lattices which have a value of the quark mass corresponding…

高能物理 - 格点 · 物理学 2018-03-28 Raul A. Briceno , Jozef J. Dudek , Robert G. Edwards , David J. Wilson

We propose to study hadron-hadron scattering using lattice QCD in an asymmetric box which allows one to access more non-degenerate low-momentum modes for a given volume. The conventional L\"{u}scher's formula applicable in a symmetric box…

高能物理 - 格点 · 物理学 2008-11-26 C. Liu , Y. Shen , X. Li , G. Z. Meng , X. Feng , M. Gong , S. He , Y. Chen , G. Li , Y. B. Liu , X. F. Meng , J. P. Ma , J. B. Zhang

In this project, we will compute the form factors relevant for $B \to K^*(\to K \pi)\ell^+\ell^-$ decays. To map the finite-volume matrix elements computed on the lattice to the infinite-volume $B \to K \pi$ matrix elements, the $K \pi$…

We propose an alternative approach to L\"uscher's formula for extracting two-body scattering phase shifts from finite volume spectra with no reliance on the partial wave expansion. We use an effective-field-theory-based Hamiltonian method…

高能物理 - 格点 · 物理学 2021-10-14 Lu Meng , E. Epelbaum

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…

高能物理 - 格点 · 物理学 2009-11-10 Chuan Miao , Xining Du , Guangwei Meng , Chuan Liu

We present results for the spectrum of excited mesons obtained from temporal correlations of spatially-extended single-hadron and multi-hadron operators computed in lattice QCD. The stochastic LapH algorithm is implemented on anisotropic,…

The $\pi\pi$ scattering amplitude in the $\sigma$-channel is studied at finite baryonic density in the framework of a chiral unitary approach which successfully reproduces the meson meson phase shifts and generates the $f_0$ and $\sigma$…

核理论 · 物理学 2011-02-09 D. Cabrera , E. Oset , M. J. Vicente Vacas

L\"uscher has suggested a method to determine phase shifts from the finite volume dependence of the two-particle energy spectrum. We apply this to two models in d=2: (a) the Ising model, (b) a system of two Ising fields with different mass…

高能物理 - 格点 · 物理学 2009-10-22 C. R. Gattringer , I. Hip , C. B. Lang

We study the scattering of the light-flavor pseudoscalar mesons ($\pi, K, \eta$) off the ground-state charmed mesons ($D,D_s$) within chiral effective field theory. The recent lattice simulation results on various scattering lengths and the…

高能物理 - 唯象学 · 物理学 2019-01-16 Zhi-Hui Guo , Liuming Liu , Ulf-G. Meissner , J. A. Oller , A. Rusetsky

We propose to study hadron-hadron scattering using lattice QCD in an asymmetric box which allows one to access more non-degenerate low-momentum modes for a given volume. The conventional L\"{u}scher's formula applicable in a symmetric box…

高能物理 - 格点 · 物理学 2010-10-27 Xin Li , Ying Chen , Guo-Zhan Meng , Xu Feng , Ming Gong , Song He , Gang Li , Chuan Liu , Yu-Bin Liu , Jian-Ping Ma , Xiang-Fei Meng , Yan Shen , Jian-Bo Zhang

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…