6533b7ddfe1ef96bd127547e
RESEARCH PRODUCT
Hall–Post inequalities: Review and application to molecules and tetraquarks
Javier VijandeJean-marc RichardA. Valcarcesubject
QuarkParticle physics[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]Nuclear TheoryMesonenergy: ground stateHigh Energy Physics::LatticeFOS: Physical sciencesGeneral Physics and Astronomyquark antiquarkHall-Post inequalitiesdissociation01 natural sciencesDissociation (chemistry)Nuclear Theory (nucl-th)High Energy Physics - Phenomenology (hep-ph)Tetraquark0103 physical sciencesBound stateMoleculemoleculesPhysics - Atomic and Molecular Clusters010306 general physicsQuantumPhysicsquark modeltetraquarksHall–Post inequality010308 nuclear & particles physicsHigh Energy Physics::Phenomenologymeson: exoticMolecule[PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph]bound stateHigh Energy Physics - PhenomenologyQuantum Gases (cond-mat.quant-gas)few-body systems[PHYS.HPHE]Physics [physics]/High Energy Physics - Phenomenology [hep-ph]Atomic and Molecular Clusters (physics.atm-clus)Condensed Matter - Quantum GasesFew Bodybaryonsdescription
A review is presented of the Hall–Post inequalities that give lower-bounds to the ground-state energy of quantum systems in terms of energies of smaller systems. New applications are given for systems experiencing both a static source and inner interactions, as well as for hydrogen-like molecules and for tetraquarks in some quark models. In the latter case, the Hall–Post inequalities constrain the possibility of deeply-bound exotic mesons below the threshold for dissociation into two quark–antiquark mesons. We also emphasize the usefulness of the Hall–Post bounds in terms of 3-body energies when some 2-body subsystems are ill defined or do not support any bound state.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-10-18 | Annals of Physics |