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Author  |
Richard, J.M.; Valcarce, A.; Vijande, J. |
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Title |
Hall-Post inequalities: Review and application to molecules and tetraquarks |
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Journal Article |
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Year |
2020 |
Publication |
Annals of Physics |
Abbreviated Journal |
Ann. Phys. |
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Volume |
412 |
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Pages |
168009 - 32pp |
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Keywords |
Hall-Post inequality; Few Body; Molecule; Quark model; Baryons; Tetraquark |
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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. |
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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; |
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Publisher |
Academic Press Inc Elsevier Science |
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Language |
English |
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Original Title |
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Series Volume |
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Edition |
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ISSN |
0003-4916 |
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Notes |
WOS:000509419600017 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
4262 |
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