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Lattice investigation of the scalar mesons a_0(980) and \kappa\ using four-quark operators

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arxiv 1212.1418 v1 pith:ZY6V7BFQ submitted 2012-12-06 hep-lat

Constantia Alexandrou , Jan Oliver Daldrop , Mattia Dalla Brida , Mario Gravina , Luigi Scorzato , Carsten Urbach , Marc Wagner This is my paper · ORCID
classification hep-lat
keywords massmesonsfieldsfour-quarkisospinkappalatticescalar
verification ladder T0 review T1 audit T2 compute T3 formal

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We carry out an exploratory study of the isospin one a0(980) and the isospin one-half kappa scalar mesons using Nf=2+1+1 Wilson twisted mass fermions at one lattice spacing. The valence strange quark is included as an Osterwalder-Seiler fermion with mass tuned so that the kaon mass matches the corresponding mass in the unitary Nf=2+1+1 theory. We investigate the internal structure of these mesons by using a basis of four-quark interpolating fields. We construct diquark-diquark and molecular-typecinterpolating fields and analyse the resulting correlation matrices keeping only connected contributions. For both channels, the low-lying spectrum is found to be consistent with two-particle scattering states. Therefore, our analysis shows no evidence for an additional state that can be interpreted as either a tetraquark or a tightly-bound molecular state.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Investigating the role of tetraquark operators in lattice QCD studies of the $a_0(980)$ and $\kappa$ resonances

    hep-lat 2026-03 conditional novelty 6.0 of 10

    Including at least one tetraquark operator in lattice QCD correlator matrices reveals a previously missed finite-volume energy level in the Kη subsystem and drastically changes the extracted a0(980) channel spectrum.

  2. Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data

    hep-ph 2025-06 conditional novelty 6.0 of 10

    A Roy-Steiner dispersive analysis of lattice QCD pion-kaon data at m_pi = 391 MeV finds the κ resonance at (966-i198) MeV, a broad resonance rather than the virtual-state pole reported in K-matrix analyses.

  3. Lattice QCD study of the $K^*(892)$ resonance at the physical point

    hep-lat 2026-03 unverdicted novelty 5.0 of 10

    Lattice QCD yields the K*(892) resonance pole at physical pion mass and continuum limit as 883(22) - i20(13) MeV, in agreement with experiment.

  4. Systematic Analysis of $B_s \to SP$ Decays in Perturbative QCD Approach

    hep-ph 2025-02 conditional novelty 5.0 of 10

    A PQCD calculation predicts branching fractions and CP asymmetries for B_s to scalar-pseudoscalar decays, with several modes sensitive to whether light scalars are quark-antiquark states.

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