QCD inequalities for hadron interactions

Abstract

We derive generalisations of the Weingarten--Witten QCD mass inequalities for particular multi-hadron systems. For systems of any number of identical pseudo-scalar mesons of maximal isospin, these inequalities prove that interactions between the constituent mesons must be repulsive and that no bound states can form in these channels. Similar constraints in less symmetric systems are also extracted. These results are compatible with experimental results (where known) and recent lattice QCD calculations, and also lead to a more stringent bound on the nucleon mass than previously derived, $m_N\ge 3/2m_{\pi }$.

5 pages, 2 figures

References in corpus (26)

• A Method for Simulating Chiral Fermions on the Lattice
• ππscattering
• A construction of lattice chiral gauge theories
• Infinitely many regulator fields for chiral fermions
• A new measurement of K+(e4) decay and the s-wave pi-pi-scattering length a00
• Multi-Pion Systems in Lattice QCD and the Three-Pion Interaction
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• I=2 pi-pi Scattering from Fully-Dynamical Mixed-Action Lattice QCD
• High statistics measurement of Ke4 decay properties
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• First measurement of the ${\pi }^{+}{\pi }^{-}$ atom lifetime
• The pi+ pi+ scattering length from maximally twisted mass lattice QCD
• I=2 $\pi \pi$ Scattering Phase Shift with two Flavors of $O(a)$ Improved Dynamical Quarks
• Lattice QCD at non-zero isospin chemical potential
• The I=2 pipi S-wave Scattering Phase Shift from Lattice QCD
• QCD Inequalities
• $I=2$ pion scattering amplitude with Wilson fermions
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• Scattering lengths for two pseudoscalar meson systems
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
• Lattice study on $\pi K$ scattering with moving wall source
• Lattice QCD study of mixed systems of pions and kaons
• A method to study complex systems of mesons in Lattice QCD
• QCD inequalities for the nucleon mass and the free energy of baryonic matter
• Constraint on the Low Energy Constants of Wilson Chiral Perturbation Theory
• Flavor symmetry breaking in lattice QCD with a mixed action

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• On the Statistics of Baryon Correlation Functions in Lattice QCD
• Enhanced contribution of the pairing gap to the QCD equation of state at large isospin chemical potential
• Baryons, multi-hadron systems, and composite dark matter in non-relativistic QCD
• Soft pion scattering in infrared-conformal gauge-fermion theories