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The role of tetraquark operators in studying the isodoublet strange $\kappa$ and isovector nonstrange $a_0(980)$ scalar mesons in lattice QCD is examined using an ensemble with $m_\pi\approx230$ MeV and spatial extent $L$ such that $m_\pi…

We study the light scalar mesons a_0(980) and kappa using N_f = 2+1+1 flavor lattice QCD. In order to probe the internal structure of these scalar mesons, and in particular to identify, whether a sizeable tetraquark component is present, we…

We present a general class of operators resembling compact tetraquarks which have a range of colour-flavour-spin structures, transform irreducibly under the symmetries of the lattice and respect other relevant symmetries. These…

High Energy Physics - Lattice · Physics 2017-11-17 Gavin K. C. Cheung , Christopher E. Thomas , Jozef J. Dudek , Robert G. Edwards

We study light scalar mesons with particular focus on the a_0(980) using lattice QCD with 2+1+1 dynamical quark flavors. To investigate the structure of these scalar mesons and to identify, whether a sizeable tetraquark component is…

Studies of the $\Delta$ baryon resonance and the $K_0^\ast(700)$ and $a_0(980)$ meson resonances using $N_f=2+1$ lattice QCD for pion masses near 200 MeV are presented. The $s$-wave scattering lengths for both the $I=1/2$ $N \pi$ and…

We present first results of a recently started lattice QCD investigation of antiheavy-antiheavy-light-light tetraquark systems including scattering interpolating operators in correlation functions both at the source and at the sink. In…

High Energy Physics - Lattice · Physics 2022-10-18 Marc Wagner , Constantia Alexandrou , Jacob Finkenrath , Theodoros Leontiou , Stefan Meinel , Martin Pflaumer

We discuss technical aspects and first results of a lattice QCD study of the $a_0(980)$ state. We employ various interpolating operators of quark-antiquark, mesonic molecule, diquark-antidiquark and two-meson type. Both connected and…

High Energy Physics - Lattice · Physics 2014-11-03 Abdou Abdel-Rehim , Constantia Alexandrou , Joshua Berlin , Mattia Dalla Brida , Mario Gravina , Marc Wagner

We investigate the quark content of the scalar meson $a_0(980)$ using lattice QCD. To this end we consider correlation functions of six different two- and four-quark interpolating fields. We evaluate all diagrams, including diagrams, where…

High Energy Physics - Lattice · Physics 2018-02-21 Constantia Alexandrou , Joshua Berlin , Mattia Dalla Brida , Jacob Finkenrath , Theodoros Leontiou , Marc Wagner

A previously-proposed method of constructing spatially-extended gauge-invariant three-quark operators for use in Monte Carlo lattice QCD calculations is tested, and a methodology for using these operators to extract the energies of a large…

High Energy Physics - Lattice · Physics 2007-05-23 Adam C. Lichtl

Lattice studies of the doubly-charm tetraquark $T_{cc}=cc\bar u\bar d$ require the determination of the $DD^*$ scattering amplitude, which most often incorporate only meson-meson interpolators. We additionally incorporate…

High Energy Physics - Lattice · Physics 2025-07-24 S. Prelovsek , E. Ortiz-Pacheco , S. Collins , L. Leskovec , M. Padmanath , I. Vujmilovic

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

We search for possibly existent bound states in the heavy-light tetraquark channels with quark content $ \bar{b}\bar{b}ud $, $ \bar{b}\bar{b}us $ and $ \bar{b}\bar{c}ud $ using lattice QCD. We carry out calculations on several gauge link…

High Energy Physics - Lattice · Physics 2020-09-23 Martin Pflaumer , Luka Leskovec , Stefan Meinel , Marc Wagner

In recent years, lattice QCD calculations of hadron spectroscopy have concentrated on resonances and shallow bound states detected via poles in two- and three-hadron scattering amplitudes. Hadron interactions have therefore become a key…

High Energy Physics - Lattice · Physics 2026-03-26 Jeremy R. Green

The low-energy finite-volume spectrum of the two-nucleon system at a quark mass corresponding to a pion mass of $m_\pi \approx 806$ MeV is studied with lattice quantum chromodynamics (LQCD) using variational methods. The…

High Energy Physics - Lattice · Physics 2024-10-02 William Detmold , Marc Illa , William I. Jay , Assumpta Parreño , Robert J. Perry , Phiala E. Shanahan , Michael L. Wagman

It is a long discussed issue whether light scalar mesons have sizeable four-quark components. We present an exploratory study of this question using N_f=2+1+1 twisted mass lattice QCD. A mixed action approach ignoring disconnected…

Searches for tetraquarks and mesonic molecules in lattice QCD are briefly reviewed. In the light quark sector the most serious candidates are the lightest scalar resonances sigma, kappa, a0 and f0. In the hidden-charm sector I discuss…

High Energy Physics - Lattice · Physics 2010-05-04 Sasa Prelovsek

Our progress in computing the spectrum of excited baryons and mesons in lattice QCD is described. Sets of spatially-extended hadron operators with a variety of different momenta are used. A new method of stochastically estimating the…

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

To investigate the light scalar tetraquark candidate $a_0(980)$ (quantum numbers $J^P =0^+$), a correlation matrix including a variety of two- and four-quark interpolating operators has to be computed. We discuss efficient techniques to…

Progress by the Lattice Hadron Physics Collaboration in determining the baryon and meson resonance spectrum of QCD using Monte Carlo methods with space-time lattices is described. The extraction of excited-state energies necessitates the…

High Energy Physics - Lattice · Physics 2017-08-23 K. J. Juge , A. Lichtl , C. Morningstar , R. G. Edwards , D. G. Richards , S. Basak , S. Wallace , I. Sato , G. T. Fleming

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
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