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The calculation of the masses of the lightest nucleon resonances using lattice QCD is surveyed. Recent results for the mass of the first radial excitation of the nucleon, the Roper resonance, are reviewed and the interpretation in terms of…

Nuclear Theory · Physics 2017-08-23 D. G. Richards

A study of the finite-size effect is carried out for spectra of both ground-state and excited-state baryons in quenched lattice QCD using Wilson fermions. Our simulations are performed at beta=6.2 with three different spatial sizes, La~1.6,…

High Energy Physics - Lattice · Physics 2009-11-11 Kiyoshi Sasaki , Shoichi Sasaki

We present an update of our analysis [1] which includes additional ensembles at different quark masses, lattice spacings and volumes, all with high statistics. We use $N_f=2$ mass-degenerate quark flavours, employing the non-perturbatively…

The chiral extrapolation of the nucleon mass, M_n, is investigated using data coming from 2-flavour partially-quenched lattice simulations. A large sample of lattice results from the CP-PACS Collaboration is analysed using the leading…

High Energy Physics - Lattice · Physics 2014-11-18 W. Armour , C. R. Allton , D. B. Leinweber , A. W. Thomas , R. D. Young

We address the issue of bound state in the two-nucleon system in lattice QCD. Our study is made in the quenched approximation at the lattice spacing of a = 0.128 fm with a heavy quark mass corresponding to m_pi = 0.8 GeV. To distinguish a…

High Energy Physics - Lattice · Physics 2019-08-14 T. Yamazaki , Y. Kuramashi , A. Ukawa

We present results for the spectrum of excited mesons obtained from temporal correlations of spatially-extended single-hadron and multi-hadron operators computed in lattice QCD. The stochastic LapH algorithm is implemented on anisotropic,…

High Energy Physics - Lattice · Physics 2014-01-13 John Bulava , Brendan Fahy , You-Cyuan Jhang , David Lenkner , Colin J. Morningstar , Justin Foley , Keisuke J. Juge , Chik Him Wong

We investigate the mass spectrum of Nucleon and Delta (and its counterparts with strange and charm), and their excited states, in quenched lattice QCD with exact chiral symmetry. For each light baryon, we use 23 masses to determine the…

High Energy Physics - Lattice · Physics 2007-05-23 Ting-Wai Chiu , Tung-Han Hsieh

We employ a novel method to analyze Euclidean correlation functions entering the calculation of hadron energies in lattice QCD. The method is based on the sampling of all possible solutions allowed by the spectral decomposition of the…

High Energy Physics - Lattice · Physics 2015-06-23 C. Alexandrou , T. Leontiou , C. N. Papanicolas , E. Stiliaris

Working with a large basis of covariant derivative-based meson interpolating fields we demonstrate the feasibility of reliably extracting multiple excited states using a variational method. The study is performed on quenched anisotropic…

High Energy Physics - Lattice · Physics 2008-12-18 J. J. Dudek , R. G. Edwards , N. Mathur , D. G. Richards

Excited state contributions represent a formidable challenge for hadron structure calculations in lattice QCD. For physical systems that exhibit an exponential signal-to-noise problem they often hinder the extraction of ground state matrix…

High Energy Physics - Lattice · Physics 2021-03-31 Konstantin Ottnad

We study the pion-nucleon system in s-wave in the framework of lattice QCD in order to gain new information on the nucleon excited states. We perform simulations for $n_f =2$ mass degenerate light quarks at a pion mass of 266 MeV. The…

High Energy Physics - Lattice · Physics 2013-04-19 C. B. Lang , V. Verduci

A novel method for the precise identification and determination of the energies that contribute in the spectral decomposition of lattice correlators is presented. The method is based on statistical concepts and it relies heavily on…

High Energy Physics - Lattice · Physics 2010-01-21 C. Alexandrou , C. N. Papanicolas , E. Stiliaris

The equation of state of QCD matter at high densities is relevant for neutron star structure and for neutron star mergers and has been a focus of recent work. We show how lattice QCD simulations, free of sign problems, can provide an upper…

Nuclear Theory · Physics 2023-12-04 Guy D. Moore , Tyler Gorda

We have continued our study of finite size effects in the QCD spectrum on lattices ranging in size from $8^3\times 24$ to $16^3\times24$. We have increased our statistics for quark mass $am_q=0.025$ for the smallest lattice size. In…

High Energy Physics - Lattice · Physics 2012-08-27 The MILC Collaboration , C. Bernard , T. A. DeGrand , C. DeTar , Steven Gottlieb , A. Krasnitz , R. Authors , : , L. Sugar , D. Toussaint

We give results for the $B$ and the $D$ meson spectrum using NRQCD on the lattice in the quenched approximation. The masses of radially and orbitally excited states are calculated as well as $S$-wave hyperfine and $P$-wave fine structure.…

High Energy Physics - Phenomenology · Physics 2010-01-18 J. Hein , S. Collins , C. T. H. Davies , A. Ali Khan , H. Newton , C. Morningstar , J. Shigemitsu , J. Sloan

A system of two static quarks, at fixed distances r, and two light quarks is studied on an anisotropic lattice. Excitations by operators emphasizing quark or gluon degrees of freedom are examined. The maximum entropy method is applied in…

High Energy Physics - Lattice · Physics 2012-08-27 LHPCollaboration , : , H. R. Fiebig

An approach for relating the nucleon resonances extracted from $\pi N$ reaction data to lattice QCD calculations has been developed by using the finite-volume Hamiltonian method. Within models of $\pi N$ reactions, bare states are…

High Energy Physics - Lattice · Physics 2017-06-28 Jia-Jun Wu , H. Kamano , T. -S. H. Lee , D. B. Leinweber , A. W. Thomas

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 calculate the light quark spectrum of lattice QCD in the quenched approximation using Kogut-Susskind quarks. By combining results for different lattice spacings, several volumes and five quark masses, we are able to take the light quark…

We present results of our numerical calculation of the mass spectrum for isospin one-half and spin one-half non-strange baryons, i.e. the ground and excited states of the nucleon, in quenched lattice QCD. We use a new lattice discretization…

High Energy Physics - Lattice · Physics 2009-11-07 Shoichi Sasaki , Tom Blum , Shigemi Ohta