• Open Access

Lattice QCD investigation of the structure of the a0(980) meson

Constantia Alexandrou, Joshua Berlin, Mattia Dalla Brida, Jacob Finkenrath, Theodoros Leontiou, and Marc Wagner
Phys. Rev. D 97, 034506 – Published 12 February 2018

Abstract

We investigate the quark content of the low-lying states in the I(JP)=1(0+) sector, which are the quantum numbers of the a0(980) meson, 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 quarks propagate within a time slice, e.g. with closed quark loops. We demonstrate that diagrams containing such closed quark loops have a drastic effect on the final results and, thus, may not be neglected. Our analysis, which is carried out at unphysically heavy u and d quark mass corresponding to mπ=296(3)MeV and in a single spatial volume of extent 2.9 fm, shows that in addition to the expected spectrum of two-meson scattering states there is an additional energy level around the two-particle thresholds of K+K¯ and η+π. This additional state, which is a candidate for the a0(980) meson, couples to a quark-antiquark as well as to a diquark-antidiquark interpolating field, indicating that it is a superposition of an ordinary q¯q and a tetraquark structure. The analysis is performed using AMIAS, a novel statistical method based on the sampling of all possible spectral decompositions of the considered correlation functions, as well as solving standard generalized eigenvalue problems.

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  • Received 8 December 2017

DOI:https://doi.org/10.1103/PhysRevD.97.034506

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Particles & Fields

Authors & Affiliations

Constantia Alexandrou1,2, Joshua Berlin3, Mattia Dalla Brida4, Jacob Finkenrath5, Theodoros Leontiou6, and Marc Wagner3

  • 1Department of Physics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
  • 2Computation-based Science and Technology Research Center, The Cyprus Institute, 20 Kavafi Street, 2121 Nicosia, Cyprus
  • 3Goethe-Universität Frankfurt am Main, Institut für Theoretische Physik, Max-von-Laue-Straße 1, D-60438 Frankfurt am Main, Germany
  • 4Dipartimento di Fisica, Università di Milano-Bicocca and INFN, Sezione di Milano-Bicocca, Piazza della Scienza 3, I-20126 Milano, Italy
  • 5Computation-based Science and Technology Research Center, The Cyprus Institute, 20 Kavafi Street, 2121 Nicosia, Cyprus
  • 6Department of Mechanical Engineering, Frederick University, 1036 Nicosia, Cyprus

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Issue

Vol. 97, Iss. 3 — 1 February 2018

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