%0 Journal Article
%T Hall-Post inequalities: Review and application to molecules and tetraquarks
%A Richard, J. M.
%A Valcarce, A.
%A Vijande, J.
%J Annals of Physics
%D 2020
%V 412
%I Academic Press Inc Elsevier Science
%@ 0003-4916
%G English
%F Richard_etal2020
%O WOS:000509419600017
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=4262), last updated on Thu, 18 Jun 2020 10:54:07 +0000
%X 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.
%K Hall-Post inequality
%K Few Body
%K Molecule
%K Quark model
%K Baryons
%K Tetraquark
%R 10.1016/j.aop.2019.168009
%U https://arxiv.org/abs/1910.08295
%U https://doi.org/10.1016/j.aop.2019.168009
%P 168009-32pp