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The present status of the Roper resonance in lattice QCD is reviewed. Some of the latest lattice results are discussed with particular emphasis on a large systematic error stemming from the finite size effect. These results suggest that the…

Nuclear Theory · Physics 2009-11-10 Shoichi Sasaki

The mass of the lightest hadron in nature, the pion, is one seventh of that of the nucleon, and one tenth of the mass of its first excited state, the $\pi(1300)$. This enormous energy difference opens an interesting window into the…

High Energy Physics - Lattice · Physics 2025-10-13 Haobo Yan , Maxim Mai , Marco Garofalo , Yuchuan Feng , Michael Döring , Chuan Liu , Liuming Liu , Ulf-G. Meißner , Carsten Urbach

We present results for the first positive parity excited state of the nucleon, namely, the Roper resonance ($N^{{{1/2}}^{+}}$=1440 MeV) from a variational analysis technique. The analysis is performed for pion masses as low as 224 MeV in…

High Energy Physics - Lattice · Physics 2009-09-28 M. S. Mahbub , Alan Ò Cais , Waseem Kamleh , Ben G. Lasscock , Derek B. Leinweber , Anthony G. Williams

This brief review focuses on the low-lying even- and odd-parity excitations of the nucleon obtained in recent lattice QCD calculations. Commencing with a survey of the 2014-15 literature we'll see that results for the first even-parity…

High Energy Physics - Lattice · Physics 2016-06-22 Derek Leinweber , Waseem Kamleh , Adrian Kiratidis , Zhan-Wei Liu , Selim Mahbub , Dale Roberts , Finn Stokes , Anthony W. Thomas , Jiajun Wu

The low-lying even-parity states of the nucleon are explored in lattice QCD using the PACS-CS collaboration 2+1-flavor dynamical-QCD gauge-field configurations made available through the International Lattice Datagrid (ILDG). The…

High Energy Physics - Lattice · Physics 2012-01-16 M. Selim Mahbub , Waseem Kamleh , Derek B. Leinweber , Peter J. Moran , Anthony G. Williams

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

Using the constrained curve fitting method and overlap fermions with the lowest pion mass at $180 {\rm MeV}$, we observe that the masses of the first positive and negative parity excited states of the nucleon tend to cross over as the quark…

High Energy Physics - Phenomenology · Physics 2016-08-16 N. Mathur , Y. Chen , S. J. Dong , T. Draper , I. Horváth , F. X. Lee , K. F. Liu , J. B. Zhang

This presentation opens with a brief review of lattice QCD calculations showing the $2s$ radial excitation of the nucleon sits at approximately 2 GeV, well above the Roper resonance position. We then proceed to reconcile this observation…

We study excited states of the nucleon in quenched lattice QCD with the spectral analysis using the maximum entropy method. Our simulations are performed on three lattice sizes $16^3\times 32$, $24^3\times 32$ and $32^3\times 32$, at…

High Energy Physics - Lattice · Physics 2009-11-10 K. Sasaki , S. Sasaki , T. Hatsuda , M. Asakawa

We present a calculation of the lowest-lying baryon masses in the quenched approximation to QCD. The calculations are performed using a non-perturbatively improved clover fermion action, and a splitting is found between the masses of the…

Lattice simulations of hadronic structure are now reaching a level where they are able to not only complement, but also provide guidance to current and forthcoming experimental programmes at, e.g. Jefferson Lab, COMPASS/CERN and FAIR/GSI.…

High Energy Physics - Lattice · Physics 2010-11-05 M. Göckeler , Ph. Hägler , R. Horsley , Y. Nakamura , D. Pleiter , P. E. L. Rakow , A. Schäfer , G. Schierholz , H. Stüben , J. M. Zanotti

Experiments at Jefferson Laboratory, MIT-Bates, LEGS, Mainz, Bonn, GRAAL, and Spring-8 offer new opportunities to understand in detail how nucleon resonance ($N^*$) properties emerge from the nonperturbative aspects of QCD. Preliminary data…

High Energy Physics - Lattice · Physics 2009-01-08 Huey-Wen Lin , Saul D. Cohen , Robert G. Edwards , David G. Richards

We present a lattice QCD study of the puzzling positive-parity nucleon channel, where the Roper resonance $N^*(1440)$ resides in experiment. The study is based on an ensemble of gauge configurations with $N_f=2+1$ Wilson-clover fermions…

High Energy Physics - Lattice · Physics 2018-07-12 Luka Leskovec , Christian B. Lang , M. Padmanath , Sasa Prelovsek

The vast majority of hadrons observed in nature are not stable under the strong interaction, rather they are resonances whose existence is deduced from enhancements in the energy dependence of scattering amplitudes. The study of hadron…

High Energy Physics - Lattice · Physics 2018-05-09 Raul A. Briceno , Jozef J. Dudek , Ross D. Young

We review results on hadron structure using lattice QCD simulations with pion masses close or at to the physical value. We pay particular attention to recent successes on the computation of the mass of the low-lying baryons and on the…

High Energy Physics - Lattice · Physics 2014-11-18 Constantia Alexandrou

Recent developments in lattice QCD calculations of the light hadron spectrum and quark masses are reviewed.

High Energy Physics - Lattice · Physics 2007-05-23 T. Kaneko

I give an overview of efforts in the last year to calculate interactions among hadrons using lattice QCD. Results discussed include the extraction of low-energy phase shifts and three-body interactions, and the study of pion and kaon…

High Energy Physics - Lattice · Physics 2010-04-15 Silas R. Beane

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…

High Energy Physics - Phenomenology · Physics 2013-04-09 S. Prelovsek , C. B. Lang , L. Leskovec , D. Mohler , R. M. Woloshyn

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 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…

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