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We investigate the $a_0(980)$ resonance within chiral effective field theory through a three-coupled-channel analysis, namely $\pi\eta$, $K\bar{K}$ and $\pi\eta'$. A global fit to recent lattice finite-volume energy levels from $\pi\eta$…

高能物理 - 唯象学 · 物理学 2017-03-15 Zhi-Hui Guo , Liuming Liu , Ulf-G. Meißner , J. A. Oller , A. Rusetsky

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

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

We extend the usual chiral perturbation theory framework ($\chi$PT) to allow the inclusion of a light dynamical isosinglet scalar. Using lattice QCD results, and a few phenomenological inputs, we explore the parameter space of the effective…

高能物理 - 唯象学 · 物理学 2015-05-30 J. Soto , P. Talavera , J. Tarrús

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

The extraction of two- and three-body hadronic scattering amplitudes and the properties of the low-lying hadronic resonances from the finite-volume energy levels in lattice QCD represents a rapidly developing field of research. The use of…

高能物理 - 格点 · 物理学 2021-06-30 Maxim Mai , Michael Döring , Akaki Rusetsky

Simulating the kappa(800) on the lattice is a challenging task that starts to become feasible due to the rapid progress in recent-years lattice QCD calculations. As the resonance is broad, special attention to finite-volume effects has to…

高能物理 - 格点 · 物理学 2015-06-03 M. Döring , U. -G. Meißner

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

We use lattice field theory to study the finite-volume energy spectrum of the $\pi\pi$ system in $SU(2)$ chiral effective field theory (ChEFT) at leading order in the chiral expansion. \hl{This finite-volume spectrum can be directly related…

高能物理 - 格点 · 物理学 2026-03-03 Cameron Cianci , Luchang Jin , Joshua Swaim

I discuss how masses and widths of hadron resonances are extracted from lattice QCD. Recent lattice results on the light, strange and charm meson resonances are reviewed. Their properties are revealed by simulating the corresponding…

高能物理 - 唯象学 · 物理学 2013-04-09 S. Prelovsek , C. B. Lang , L. Leskovec , D. Mohler , R. M. Woloshyn

The finite-volume energy levels corresponding to the Roper resonance based on a two-flavor chiral effective Lagrangian at leading one-loop order are investigated. It is shown that the Roper mass can be extracted from these levels for not…

高能物理 - 格点 · 物理学 2022-12-12 Daniel Severt

In this review, we 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.…

高能物理 - 唯象学 · 物理学 2023-07-17 Maxim Mai , Ulf-G. Meißner , Carsten Urbach

A new method based on the concept of probability distribution is proposed to analyze the finite volume energy spectrum in lattice QCD. Using synthetic lattice data, we demonstrate that for the channel with quantum numbers of the…

高能物理 - 格点 · 物理学 2012-06-13 Veronique Bernard , Michael Lage , Ulf-G. Meißner , Akaki Rusetsky

We calculate the energy levels corresponding to the Roper resonance based on a two-flavor chiral effective Lagrangian for pions, nucleons, deltas and the Roper resonance at leading one-loop order. We show that the Roper mass can be…

高能物理 - 格点 · 物理学 2020-06-11 Daniel Severt , Ulf-G. Meißner

For resonances decaying in a finite volume, the simple identification of state and eigenvalue is lost. The extraction of the scattering amplitude is a major challenge as we demonstrate by extrapolating the physical S_{11} amplitude of…

高能物理 - 格点 · 物理学 2015-06-15 Michael Döring , Maxim Mai , Ulf-G. Meißner

Lattice QCD has matured to a degree where it is now possible to study excited hadrons as they truly appear in nature, as short-lived resonant enhancements decaying into multiple possible final states. Through variational analysis of…

高能物理 - 格点 · 物理学 2018-09-21 Jozef J. Dudek

This work discusses reliability, possible obstacles and the future perspective of chiral extrapolation of lattice results. In the first part, chiral perturbation theory fits to lattice calculations of the nucleon mass are thoroughly…

高能物理 - 格点 · 物理学 2007-05-23 Bernhard U. Musch

We present the first ab initio calculation at physical quark masses of scattering amplitudes describing the lightest pseudoscalar mesons interacting via the strong force in the vector channel. Using lattice quantum chromodynamics, we…

We discuss the impact of chiral symmetry constraints on the quark-mass dependence of meson resonance pole positions, which are encoded in non-perturbative parametrizations of meson scattering amplitudes. Model-independent conditions on such…

高能物理 - 格点 · 物理学 2018-01-30 Peter C. Bruns , Maxim Mai

We develop a scheme for the extraction of the properties of the scalar mesons $f_0(600)$, $f_0(980)$, and $a_0(980)$ from lattice QCD data. This scheme is based on a two-channel chiral unitary approach with fully relativistic propagators in…

高能物理 - 格点 · 物理学 2011-08-22 E. Oset , M. Doring , U. G. Meissner , A. Rusetsky
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