@Article{Richard_etal2020, author="Richard, J. M. and Valcarce, A. and Vijande, J.", title="Hall-Post inequalities: Review and application to molecules and tetraquarks", journal="Annals of Physics", year="2020", publisher="Academic Press Inc Elsevier Science", volume="412", pages="168009--32pp", optkeywords="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.", optnote="WOS:000509419600017", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4262), last updated on Thu, 18 Jun 2020 10:54:07 +0000", issn="0003-4916", doi="10.1016/j.aop.2019.168009", opturl="https://arxiv.org/abs/1910.08295", opturl="https://doi.org/10.1016/j.aop.2019.168009", language="English" }