HALL POST INEQUALITIES: review and application to molecules and tetraquarks

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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Submitted on : Tuesday, November 5, 2019 - 11:49:19 PM
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Jean-Marc Richard, Alfredo Valcarce. HALL POST INEQUALITIES: review and application to molecules and tetraquarks. 2019. ⟨hal-02350171⟩



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