Three-Body Dynamics of the a 1 ( 1260 ) Resonance from Lattice QCD
About: This article is published in Physical Review Letters.The article was published on 2021-11-24 and is currently open access. It has received 7 citations till now. The article focuses on the topics: Lattice QCD & Resonance (particle physics).
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TL;DR: In this paper , the authors present the current state of the art of our understanding of the spectrum of excited strongly interacting particles and discuss methods that allow for a systematic and model-independent calculation of the hadron spectrum.
24 citations
TL;DR: In this paper , the contributions made by the Joint Physics Analysis Center to the field of hadron spectroscopy are reviewed, and a systematic survey of the model dependencies is presented.
10 citations
TL;DR: In this article , the amplitudes of a single ensemble of gauge field configurations with Nf=2+1 dynamical quark flavors and mπ=200MeV were computed using lattice QCD.
9 citations
TL;DR: In this article , the analytic structure of the physical energy region of three-body scattering amplitudes on hadronic resonances was discussed and the pole position of the ALEPH meson was determined by allowing for $S$ and $D$ waves.
Abstract: Masses, widths, and branching ratios of hadronic resonances are quantified by their pole positions and residues with respect to transition amplitudes on the Riemann sheets of the complex energy plane. In this study, we discuss the analytic structure in the physical energy region of three-body scattering amplitudes on such manifolds. As an application, we determine the pole position of the ${a}_{1}(1260)$ meson from the ALEPH experiment by allowing for $\ensuremath{\pi}\ensuremath{\rho}$ coupled channels in $S$ and $D$ waves. We find it to be $\sqrt{{s}_{0}}=(123{2}_{\ensuremath{-}0\ensuremath{-}11}^{+15+9}\ensuremath{-}i26{6}_{\ensuremath{-}22\ensuremath{-}27}^{+0+15})\text{ }\text{ }\mathrm{MeV}$.
5 citations
TL;DR: In this paper , the infinite-volume Minkowski amplitude can be constrained from finite-volume Euclidean correlation functions, which holds up to energies where $3\ensuremath{\pi}$ states can go on shell, and is exact up to exponentially small corrections that scale like
Abstract: The ${\ensuremath{\gamma}}^{\ensuremath{\star}}{\ensuremath{\gamma}}^{\ensuremath{\star}}\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi}$ scattering amplitude plays a key role in a wide range of phenomena, including understanding the inner structure of scalar resonances as well as constraining the hadronic contributions to the anomalous magnetic moment of the muon. In this work, we explain how the infinite-volume Minkowski amplitude can be constrained from finite-volume Euclidean correlation functions. The relationship between the finite-volume Euclidean correlation functions and the desired amplitude holds up to energies where $3\ensuremath{\pi}$ states can go on shell, and is exact up to exponentially small corrections that scale like $\mathcal{O}({e}^{\ensuremath{-}{m}_{\ensuremath{\pi}}L})$, where $L$ is the spatial extent of the cubic volume and ${m}_{\ensuremath{\pi}}$ is the pion mass. In order to implement this formalism and remove all power-law finite volume errors, it is necessary to first obtain $\ensuremath{\pi}\ensuremath{\pi}\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi}$, $\ensuremath{\pi}{\ensuremath{\gamma}}^{\ensuremath{\star}}\ensuremath{\rightarrow}\ensuremath{\pi}$, ${\ensuremath{\gamma}}^{\ensuremath{\star}}\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi}$, and $\ensuremath{\pi}\ensuremath{\pi}{\ensuremath{\gamma}}^{\ensuremath{\star}}\ensuremath{\rightarrow}\ensuremath{\pi}\ensuremath{\pi}$ amplitudes; all of which can be determined via lattice quantum chromodynamic calculations.
2 citations
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01 Aug 2020
3,138 citations
TL;DR: In this article, a narrow charmonium-like state produced in the exclusive decay process B+/--->K+/-pi(+)pi(-)J/psi has been observed, which has a mass of 3872.0+/-0.6(stat)+/- 0.5(syst) MeV.
Abstract: We report the observation of a narrow charmoniumlike state produced in the exclusive decay process B+/--->K+/-pi(+)pi(-)J/psi. This state, which decays into pi(+)pi(-)J/psi, has a mass of 3872.0+/-0.6(stat)+/-0.5(syst) MeV, a value that is very near the M(D0)+M(D(*0)) mass threshold. The results are based on an analysis of 152M B-Bmacr; events collected at the Upsilon(4S) resonance in the Belle detector at the KEKB collider. The signal has a statistical significance that is in excess of 10sigma.
1,294 citations
TL;DR: The low-lying energy values associated to energy eigenstates describing two stable particles enclosed in a (space-like) box of sizeL are shown to be expandable in an asymptotic power series of 1/L as mentioned in this paper.
Abstract: The low-lying energy values associated to energy eigenstates describing two stable particles enclosed in a (space-like) box of sizeL are shown to be expandable in an asymptotic power series of 1/L The coefficients in these expansions are related to the appropriate elastic scattering amplitude in a simple and apparently universal manner At low energies, the scattering amplitude can thus be determined, if an accurate calculation of two-particle energy values is possible (by numerical simulation, for example)
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TL;DR: In this paper, a method to calculate the elastic scattering amplitude at low energies in two-dimensional quantum field theories is proposed and tested in a numerical simulation of the O(3) non-linear σ-model on a simple square lattice.
651 citations