Scalar mesons in a finite volume
arXiv:1010.6018 · doi:10.1007/JHEP01(2011)019
Abstract
Using effective field theory methods, we discuss the extraction of the mass and width of the scalar mesons f0(980) and a0(980) from the finite-volume spectrum in lattice QCD. In particular, it is argued that the nature of these states can be studied by invoking twisted boundary conditions, as well as investigating the quark mass dependence of the spectrum.
18 pages, 3 figures
References in corpus (22)
- Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the scalar mesons
- Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
- Evidence that the a0(980) and f0(980) are not elementary particles
- Non-perturbative Approach to effective chiral Lagrangians and Meson Interactions
- A Theory of Scalar Mesons
- Twisted Boundary Conditions in Lattice Simulations
- Insight into the Scalar Mesons from a Lattice Calculation
- Aharonov-Bohm effect and nucleon-nucleon phase shifts on the lattice
- A method to measure the antikaon-nucleon scattering length in lattice QCD
- Matching Long and Short Distances in Large-Nc QCD
- On the discretization of physical momenta in lattice QCD
- Resonance properties from the finite-volume energy spectrum
- Light scalars as tetraquarks or two-meson states from large Nc and unitarized Chiral Perturbation Theory
- Flatte-like distributions and the a_0(980)/f_0(980) mesons
- Two Particle States in a Box and the -Matrix in Multi-Channel Scattering
- QCD Sum-Rule Consistency of Lowest-Lying Quark Scalar Resonances
- f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
- Lattice Study of Low-lying Nonet Scalar Mesons in Quenched Approximation
- Tetra-Quark Resonances in Lattice QCD
- Towards an understanding of the light scalar mesons
- How and when can one identify hadronic molecules in the baryon spectrum
- Resonances in an external field: the 1+1 dimensional case
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