PT Journal
AU Richard, JM
   Valcarce, A
   Vijande, J
TI Hall-Post inequalities: Review and application to molecules and tetraquarks
SO Annals of Physics
JI Ann. Phys.
PY 2020
BP 168009
EP 32pp
VL 412
DI 10.1016/j.aop.2019.168009
LA English
DE Hall-Post inequality; Few Body; Molecule; Quark model; Baryons; Tetraquark
AB 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.
ER