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Progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Large sets of spatially-extended hadron operators are used. The need for multi-hadron operators in addition to single-hadron operators is…

High Energy Physics - Lattice · Physics 2011-11-04 John Bulava , Justin Foley , You-Cyuan Jhang , Keisuke J. Juge , David Lenkner , Colin Morningstar , Chik Him Wong

We describe a method to construct irreducible baryon operators using all-to-all quark propagators. It was demonstrated earlier that a large basis of extended baryon operators on anisotropic, quenched lattices can be used to reliably extract…

High Energy Physics - Lattice · Physics 2014-11-18 R. G. Edwards , G. T. Fleming , B. Joo , K. J. Juge , A. Lichtl , C. J. Morningstar , D. G. Richards , S. J. Wallace

The energies of the excited states of the Nucleon, $\Delta$ and $\Omega$ are computed in lattice QCD, using two light quarks and one strange quark on anisotropic lattices. The calculation is performed at three values of the light quark…

High Energy Physics - Lattice · Physics 2015-03-17 J. Bulava , R. G. Edwards , E. Engelson , B. Joó , H-W. Lin , C. Morningstar , D. G. Richards , S. J. Wallace

The positive-parity nucleon spectrum is explored in $2 + 1$-flavour lattice QCD in a search for new low-lying energy eigenstates near the energy regime of the Roper resonance. In addition to conventional three-quark operators, we consider…

High Energy Physics - Lattice · Physics 2017-04-19 Adrian L. Kiratidis , Waseem Kamleh , Derek B. Leinweber , Zhan-Wei Liu , Finn M. Stokes , Anthony W. Thomas

The development of variational density functional theory approaches to excited electronic states is impeded by limitations of the commonly used self-consistent field (SCF) procedure. A method based on a direct optimization approach as well…

Chemical Physics · Physics 2022-11-09 Gianluca Levi , Aleksei V. Ivanov , Hannes Jónsson

Positive-parity spin-1/2 excitations of the nucleon are explored in lattice QCD. The variational method is used in this investigation and several correlation matrices are employed. As our focus is on the utility and methodology of the…

High Energy Physics - Lattice · Physics 2010-12-28 M. S. Mahbub , Alan Ó Cais , Waseem Kamleh , Derek B. Leinweber , Anthony G. Williams

The construction of the operators and correlators required to determine the excited baryon spectrum is presented, with the aim of exploring the spatial and spin structure of the states while minimizing the number of propagator inversions.…

High Energy Physics - Lattice · Physics 2014-11-17 LHP Collaboration , S. Basak , R. Edwards , R. Fiebig , G. Fleming , U. M. Heller , C. Morningstar , D. Richards , I. Sato , S. Wallace

Excited state contamination remains one of the most challenging sources of systematic uncertainty to control in lattice QCD calculations of nucleon matrix elements and form factors: early time separations are contaminated by excited states…

We present our preliminary results for three-point correlation functions involving the operators entering the $\Delta{S}=1$ effective Hamiltonian with an active charm quark, obtained using overlap fermions in the quenched approximation.…

High Energy Physics - Lattice · Physics 2016-09-01 L. Giusti , P. Hernandez , M. Laine , C. Pena , J. Wennekers , H. Wittig

Form factors of the nucleon have been extracted from experiment with high precision. However, lattice calculations have failed so far to reproduce the observed dependence of form factors on the momentum transfer. We have embarked on a…

High Energy Physics - Lattice · Physics 2011-04-20 Stefano Capitani , Michele Della Morte , Bastian Knippschild , Hartmut Wittig

The ability to reliably measure the energy of an excited hadron in Lattice QCD simulations hinges on the accurate determination of all lower-lying energies in the same symmetry channel. These include not only single-particle energies, but…

High Energy Physics - Lattice · Physics 2015-05-18 J. Foley , J. Bulava , K. J. Juge , C. Morningstar , M. Peardon , C. H. Wong

We present a method for finding individual excited states' energy stationary points in complete active space self-consistent field theory that is compatible with standard optimization methods and highly effective at overcoming difficulties…

Strongly Correlated Electrons · Physics 2019-04-12 Lan Nguyen Tran , Jacqueline A. R. Shea , Eric Neuscamman

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

The potential of mean-field decomposition techniques in interpreting electronic transitions in molecules is explored, particularly, the usefulness of these for offering computational signatures of different classes of such excitations. When…

Chemical Physics · Physics 2022-02-14 Janus J. Eriksen

We study baryons on the lattice with a special focus on excited states. For that purpose we construct several interpolators which differ in their Dirac structure. These interpolators are built from Jacobi smeared quarks with different…

High Energy Physics - Lattice · Physics 2007-05-23 Tommy Burch , Christof Gattringer , Leonid Ya. Glozman , Christian Hagen , Dieter Hierl , C. B. Lang , Andreas Schaefer

Progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Large sets of spatially-extended hadron operators are used. A new method of stochastically estimating the low-lying effects of quark propagation…

High Energy Physics - Lattice · Physics 2015-05-27 C. Morningstar , A. Bell , J. Bulava , J. Foley , K. J. Juge , D. Lenkner , C. H. Wong

Lattice QCD calculations of radiative transitions between hadrons have in the past been limited to processes of hadrons stable under the strong interaction. Recently developed methods for $1\to2$ transition matrix elements in a finite…

Outstanding problems in nuclear physics require input and guidance from lattice QCD calculations of few baryons systems. However, these calculations suffer from an exponentially bad signal-to-noise problem which has prevented a controlled…

We present results for masses of light mesons obtained with the variational method using an enhanced basis of interpolating field operators with different quark smearings. The interpolators are constructed from Jacobi-smeared quarks of a…

High Energy Physics - Lattice · Physics 2008-11-26 Christof Gattringer , Leonid Ya. Glozman , C. B. Lang , Daniel Mohler , Sasa Prelovsek

In this work I apply a recently proposed improvement procedure, originally conceived to reduce finite lattice spacing effects in transfer matrices for dilute Fermi systems, to tuning operators for the calculation of observables. I…

Statistical Mechanics · Physics 2012-07-09 Joaquín E. Drut