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Author (up) Richard, J.M.; Valcarce, A.; Vijande, J.
Title Hall-Post inequalities: Review and application to molecules and tetraquarks Type Journal Article
Year 2020 Publication Annals of Physics Abbreviated Journal Ann. Phys.
Volume 412 Issue Pages 168009 - 32pp
Keywords Hall-Post inequality; Few Body; Molecule; Quark model; Baryons; Tetraquark
Abstract 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.
Address [Richard, Jean-Marc] Univ Lyon, Inst Phys Deux Infinis, IN2P3, CNRS,UCBL, 4 Rue Enrico Fermi, F-69622 Villeurbanne, France, Email: j-m.richard@ipnl.in2p3.fr;
Corporate Author Thesis
Publisher Academic Press Inc Elsevier Science Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0003-4916 ISBN Medium
Area Expedition Conference
Notes WOS:000509419600017 Approved no
Is ISI yes International Collaboration yes
Call Number IFIC @ pastor @ Serial 4262
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