TY  - JOUR
AU  - Richard, J. M.
AU  - Valcarce, A.
AU  - Vijande, J.
PY  - 2020
DA  - 2020//
TI  - Hall-Post inequalities: Review and application to molecules and tetraquarks
T2  - Ann. Phys.
JO  - Annals of Physics
SP  - 168009
EP  - 32pp
VL  - 412
PB  - Academic Press Inc Elsevier Science
KW  - Hall-Post inequality
KW  - Few Body
KW  - Molecule
KW  - Quark model
KW  - Baryons
KW  - 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.
SN  - 0003-4916
UR  - https://arxiv.org/abs/1910.08295
UR  - https://doi.org/10.1016/j.aop.2019.168009
DO  - 10.1016/j.aop.2019.168009
LA  - English
N1  - WOS:000509419600017
ID  - Richard_etal2020
ER  -