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The pole structure of the $\Lambda(1405)$ is examined by fitting the couplings of an underlying Hamiltonian effective field theory to cross sections of $K^- p$ scattering in the infinite-volume limit. Finite-volume spectra are then obtained…

Nuclear Theory · Physics 2017-02-01 Zhan-Wei Liu , Jonathan M. M. Hall , Derek B. Leinweber , Anthony W. Thomas , Jia-Jun Wu

For almost 50 years the structure of the Lambda 1405 resonance has been a mystery. Recently, a new lattice QCD simulation showing that its strange magnetic form factor vanishes, together with a comprehensive Hamiltonian analysis of the…

We examine the phase shifts and inelasticities associated with the $N^*(1440)$ Roper resonance and connect these infinite-volume observables to the finite-volume spectrum of lattice QCD using Hamiltonian effective field theory. We explore…

This letter presents the first lattice QCD computation of the coupled channel $\pi\Sigma-\bar{K}N$ scattering amplitudes at energies near $1405\,{\rm MeV}$. These amplitudes contain the resonance $\Lambda(1405)$ with strangeness $S=-1$ and…

We investigate the internal structure of the $\Omega(2012)^-$ by analyzing lattice QCD simulation and experimental data within Hamiltonian effective field theory, considering both $J^P = 1/2^-$ and $3/2^-$ assignments. The couplings to the…

High Energy Physics - Phenomenology · Physics 2025-10-02 Fang-Chao Han , Zhan-Wei Liu , Derek B. Leinweber , Anthony W. Thomas

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 $N_{\rm f} = 2+1$…

Two different descriptions of the existing pion-nucleon scattering data in the region of the Roper resonance are constructed. Both descriptions fit the experimental data very well. In one scenario the resonance is the result of strong…

Nuclear Theory · Physics 2018-06-06 Jia-jun Wu , Derek B. Leinweber , Zhan-wei Liu , Anthony W. Thomas

We present a coupled-channel analysis of the $ J^P = 3/2^+ \Delta $-baryon spectrum, based in the framework of Hamiltonian Effective Field Theory (HEFT). We construct a Hamiltonian which mixes quark model-like single-particle states and…

High Energy Physics - Phenomenology · Physics 2024-06-06 Liam Hockley , Curtis Abell , Derek Leinweber , Anthony Thomas

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…

For almost 50 years the structure of the Lambda(1405) resonance has been a mystery. Even though it contains a heavy strange quark and has odd parity, its mass is lower than any other excited spin-1/2 baryon. Dalitz and co-workers speculated…

Recent lattice QCD results for the low-lying odd-parity excitations of the nucleon near the $N^{*}(1535)$ and $N^{*}(1650)$ resonance positions have revealed that the lattice QCD states have magnetic moments consistent with predictions from…

High Energy Physics - Lattice · Physics 2023-06-02 Curtis D. Abell , Derek B. Leinweber , Zhan-Wei Liu , Anthony W. Thomas , Jia-Jun Wu

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…

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

The internal structure of the resonant Lambda(1405) state is investigated based on meson-baryon coupled-channels chiral dynamics, by evaluating density distributions obtained from the form factors of the Lambda(1405) state. The form factors…

Nuclear Theory · Physics 2015-05-27 Takayasu Sekihara , Tetsuo Hyodo , Daisuke Jido

We study the spin $\frac12$ hadronic state in quenched lattice QCD to search for a possible $S=+1$ pentaquark resonance. Simulations are carried out on $8^3\times 24$, $10^3\times 24$, $12^3\times 24$ and $16^3\times 24$ lattices at…

High Energy Physics - Lattice · Physics 2017-08-23 T. T. Takahashi , T. Umeda , T. Onogi , T. Kunihiro

The $\Lambda(1405)$ baryon is difficult to detect in experiment, absent in many quark model calculations, and supposedly manifested through a two-pole structure. Its uncommon properties made it subject to numerous experimental and…

High Energy Physics - Lattice · Physics 2016-10-06 R. Molina , M. Doring

The internal structure of the resonant Lambda(1405) state is investigated based on meson-baryon coupled-channels chiral dynamics, by evaluating density distributions obtained from the form factors of the Lambda(1405) state. The form factors…

Nuclear Theory · Physics 2015-03-17 Takayasu Sekihara , Tetsuo Hyodo , Daisuke Jido

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 report on a recent theoretical work on the structure of the Lambda(1405) resonance within a chiral unitary approach, in which the resonance is dynamically generated in meson-baryon scattering. Studying the analytic structure of the…

High Energy Physics - Phenomenology · Physics 2009-11-11 D. Jido , J. A. Oller , E. Oset , A. Ramos , U. -G. Meissner

Drawing on experimental data for baryon resonances, Hamiltonian effective field theory (HEFT) is used to predict the positions of the finite-volume energy levels to be observed in lattice QCD simulations. We have studied the low-lying…

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