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Strong three-body interactions above threshold govern the dynamics of many exotics and conventional excited mesons and baryons. Three-body finite-volume energies calculated from lattice QCD promise an ab-initio understanding of these…

高能物理 - 格点 · 物理学 2020-03-25 M. Mai , M. Döring , C. Culver , A. Alexandru

Three-body states are critical to the dynamics of many hadronic resonances. We show that lattice QCD calculations have reached a stage where these states can be accurately resolved. We perform a calculation over a wide range of parameters…

高能物理 - 格点 · 物理学 2020-09-24 Chris Culver , Maxim Mai , Ruairí Brett , Andrei Alexandru , Michael Döring

The dynamics of multi-kaon systems are of relevance for several areas of nuclear physics. However, even the simplest systems, two and three kaons, are hard to prepare and study experimentally. Here we show how to extract this information…

高能物理 - 格点 · 物理学 2021-01-04 Andrei Alexandru , Ruairí Brett , Chris Culver , Michael Döring , Dehua Guo , Frank X. Lee , Maxim Mai

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 perform a fit of the finite-volume QCD spectrum of three pions at maximal isospin to constrain the three-body force. We use the unitarity-based relativistic three-particle quantization condition, with the GWUQCD spectrum obtained at 315…

高能物理 - 格点 · 物理学 2021-07-09 Ruairí Brett , Chris Culver , Maxim Mai , Andrei Alexandru , Michael Döring , Frank X. Lee

The quest to understand three-body dynamics from first-principle QCD includes the study of non-resonant and resonant systems. The isospin $I=2$ system is of particular interest having no three-body resonance but featuring a resonance in a…

高能物理 - 格点 · 物理学 2026-01-26 Yuchuan Feng , Chris Culver , Michael Döring , Maxim Mai , Andrei Alexandru , Frank X. Lee

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 a numerical investigation of the relativistic-field-theoretic (RFT) formalism, used to predict the discrete energy spectrum of three pions in a finite volume. Applying the previously derived generalization, we extract results for…

高能物理 - 格点 · 物理学 2024-12-09 Athari Alotaibi , Maxwell T. Hansen

Lattice QCD already offers the possibility of extracting three-hadron scattering quantities from first principles. In the last few years, significant progress has been achieved in developing and applying the finite-volume three-body…

高能物理 - 格点 · 物理学 2021-12-13 Fernando Romero-López

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

The spectrum of excitations of triply-charmed baryons is computed using lattice QCD including dynamical light quark fields. Calculations are performed on anisotropic lattices with temporal and spatial spacings a_t = 0.0351(2) and a_s ~ 0.12…

高能物理 - 格点 · 物理学 2014-10-31 M. Padmanath , Robert G. Edwards , Nilmani Mathur , Michael Peardon

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

Using the framework of non-relativistic effective field theory, the finite-volume ground-state energy shift is calculated up-to-and-including $O(L^{-6})$ for the system of three pions in the channel with the total isospin $I=1$. The…

高能物理 - 格点 · 物理学 2021-03-25 Fabian Müller , Akaki Rusetsky , Tiansu Yu

Studies of the $\Delta$ baryon resonance and the $K_0^\ast(700)$ and $a_0(980)$ meson resonances using $N_f=2+1$ lattice QCD for pion masses near 200 MeV are presented. The $s$-wave scattering lengths for both the $I=1/2$ $N \pi$ and…

First-principles calculations of multi-hadron dynamics are a crucial goal in lattice QCD. Significant progress has been achieved in developing, implementing, and applying theoretical tools that connect finite-volume quantities to their…

高能物理 - 格点 · 物理学 2023-01-13 Fernando Romero-López

The study of excited hadron spectra using Lattice QCD is currently evolving. An important step toward obtaining resonance parameters from Lattice QCD is the calculation of finite volume energy spectra. Somewhat more rigorous studies of…

高能物理 - 格点 · 物理学 2011-12-07 John Bulava

In a finite volume, resonances and multi-hadron states are identified by discrete energy levels. When comparing the results of lattice QCD calculations to scattering experiments, it is important to have a way of associating the energy…

高能物理 - 格点 · 物理学 2015-03-20 J. M. M. Hall , A. C. -P. Hsu , D. B. Leinweber , A. W. Thomas , R. D. Young

We calculate the volume dependence of the ground-state energy of n identical bosons with short-range repulsive interactions in a periodic spatial volume of side L, up to and including terms of order 1/L^6. With this result, Lattice QCD…

高能物理 - 格点 · 物理学 2008-11-26 Silas R. Beane , William Detmold , Martin J. Savage

In this work we determine the finite-volume lattice QCD spectrum at the flavor symmetric $\mathrm{SU}(3)$ point in the meson-baryon singlet and octet irreducible representations. We construct the appropriate interpolation operators and…

高能物理 - 格点 · 物理学 2026-05-28 Javier Suarez Sucunza , Thomas Luu , Maxim Mai , Ferenc Pittler , Carsten Urbach , Haobo Yan

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…

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