Article Dans Une Revue Annals of Physics Année : 2020

Hall–Post inequalities: Review and application to molecules and tetraquarks

Résumé

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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hal-02350171 , version 1 (21-12-2021)

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Jean-Marc Richard, Alfredo Valcarce, Javier Vijande. Hall–Post inequalities: Review and application to molecules and tetraquarks. Annals of Physics, 2020, 412, pp.168009. ⟨10.1016/j.aop.2019.168009⟩. ⟨hal-02350171⟩
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