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arXiv · 1910.08295

HALL POST INEQUALITIES: review and application to molecules and tetraquarks

Jean-Marc Richard·Alfredo Valcarce·Javier Vijande
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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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Jean-Marc Richard, Alfredo Valcarce, Javier Vijande. 2019-10-18. HALL POST INEQUALITIES: review and application to molecules and tetraquarks. https://doi.org/10.1016/j.aop.2019.168009

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