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Related papers: Two-pole nature of the $\Lambda(1405)$ from lattic…

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A lattice QCD computation of the coupled channel $\pi\Sigma-\bar{K}N$ scattering amplitudes in the $\Lambda(1405)$ region is detailed. Results are obtained using a single ensemble of gauge field configurations with $N_{\rm f} = 2+1$…

This work presents technical details of determining the finite-volume energy spectra for the scattering amplitude of the coupled-channel $\pi\Sigma - \bar{K}N$ from lattice QCD data. The importance of reliably extracting such spectra lies…

Recent results studying the masses and widths of low-lying baryon resonances in lattice QCD are presented. The $S$-wave $N\pi$ scattering lengths for both total isospins $I = 1/2$ and $I = 3/2$ are inferred from the finite-volume spectrum…

Coupled-channel $\pi K$ and $\eta K$ scattering amplitudes are determined by studying the finite-volume energy spectra obtained from dynamical lattice QCD calculations. Using a large basis of interpolating operators, including both those…

High Energy Physics - Phenomenology · Physics 2015-03-18 David J. Wilson , Jozef J. Dudek , Robert G. Edwards , Christopher E. Thomas

The mechanism for the formation of the $\Lambda(1405)$ resonance is studied in a chiral quark model that includes quark-meson as well as contact (four point) interactions. The negative-parity $S$-wave scattering amplitudes for strangeness…

Nuclear Theory · Physics 2022-07-13 B. Golli , H. Osmanović , S. Širca

The first determination of doubly-charmed isospin-0 coupled-channel $DD^\ast-D^\ast D^\ast$ scattering amplitudes from lattice QCD is presented. The finite-volume spectrum is computed for three lattice volumes with a light-quark mass…

High Energy Physics - Lattice · Physics 2025-03-20 Travis Whyte , David J. Wilson , Christopher E. Thomas

We present the results of a coupled-channel model for $\bar{K}N$ scattering in the resonance region. The model fulfills unitarity, has the correct analytical properties for the amplitudes and the partial waves have the right threshold…

High Energy Physics - Phenomenology · Physics 2016-08-03 Cesar Fernandez-Ramirez

We present the first calculation of coupled-channel meson-meson scattering in the isospin $=1$, $G$-parity negative sector, with channels $\pi \eta$, $K\overline{K}$ and $\pi \eta'$, in a first-principles approach to QCD. From the discrete…

High Energy Physics - Phenomenology · Physics 2016-05-18 Jozef J. Dudek , Robert G. Edwards , David J. Wilson

We present the first lattice QCD study of coupled-channel $D\pi$, $D\eta$ and $D_{s}\bar{K}$ scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable…

High Energy Physics - Lattice · Physics 2016-10-13 Graham Moir , Michael Peardon , Sinéad M. Ryan , Christopher E. Thomas , 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…

High Energy Physics - Lattice · Physics 2023-10-16 Arkaitz Rodas , Jozef J. Dudek , Robert G. Edwards

To understand the nature of two poles for the $\Lambda(1405)$ state, we revisit the interactions of $\bar{K}N$ and $\pi\Sigma$ with their coupled channels, where two-poles structure is found in the second Riemann sheet. We also dynamically…

High Energy Physics - Phenomenology · Physics 2021-10-04 Zhong-Yu Wang , Hiwa A. Ahmed , C. W. Xiao

The $s-$wave meson-baryon scattering is analyzed for the strangeness S=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four channels have been considered: $\pi N$, $\eta N$, $K \Lambda$, $K \Sigma$. The…

High Energy Physics - Phenomenology · Physics 2009-11-07 Juan Nieves , Enrique Ruiz Arriola

We determine $J^{PC}=0^{++}$ and $2^{++}$ hadron-hadron scattering amplitudes in the charmonium energy region up to 4100 MeV using lattice QCD, a first-principles approach to QCD. Working at $m_\pi\approx 391$ MeV, more than 200…

High Energy Physics - Lattice · Physics 2024-08-07 David J. Wilson , Christopher E. Thomas , Jozef J. Dudek , Robert G. Edwards

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…

Ongoing challenges in computing the spectrum of hadronic resonances and shallow bound-states from lattice QCD are reviewed. Since such states are identified as poles in the scattering matrix, nearby non-analyticities must be treated to…

High Energy Physics - Lattice · Physics 2024-02-02 John Bulava

The spectrum of the negative-parity spin-1/2 $\Lambda$ baryons is studied using lattice QCD and hadronic effective theory in a unitarized coupled-channel framework. A direct comparison between the two approaches is possible by considering…

High Energy Physics - Lattice · Physics 2021-07-20 Rafael Pavao , Philipp Gubler , Pedro Fernandez-Soler , Juan Nieves , Makoto Oka , Toru T. Takahashi

Using a unitary extension of chiral perturbation theory with a lowest-order s-wave SU(3) chiral Lagrangian we study low-energy meson-baryon scattering in the strangeness $S=-2$ sector. A scattering-matrix pole is found around 1606 MeV which…

Nuclear Theory · Physics 2009-11-07 A. Ramos , E. Oset , C. Bennhold

The excited hyperon $\Lambda(1405)$ is the important building block for kaonic nuclei which are nuclear many-body system with anti-kaons. We have been investigating the $\Lambda(1405)$ resonance with the coupled-channel Complex Scaling…

Nuclear Theory · Physics 2015-06-19 Akinobu Dote , Takayuki Myo

We present the light-quark mass dependence of the $\Lambda(1405)$ resonance at leading order in a renormalizable framework of covariant chiral effective field theory. The meson-baryon scattering amplitudes, which are obtained by solving the…

High Energy Physics - Phenomenology · Physics 2024-06-11 Xiu-Lei Ren

The $s-$wave meson-baryon scattering amplitude is analyzed for the strangeness $S=-1$ and isospin I=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four two-body channels have been considered: $\bar K…

Nuclear Theory · Physics 2016-08-16 C. Garcia-Recio , J. Nieves , E. Ruiz Arriola , M. Vicente Vacas
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