Hall–Post inequalities: Review and application to molecules and tetraquarks

[1]  Xiaoyun Chen.  Analysis of hidden-bottom bb\bar{b}\bar{b} states , 2019 .

[2]  Xiaoyun Chen.  Analysis of hidden-bottom $bb\bar{b}\bar{b}$bbb¯b¯ states , 2019, The European Physical Journal A.

[3]  Q. Zhao,et al.  All-heavy tetraquarks , 2019, Physical Review D.

[4]  Xiaoyun Chen.  2 0 A pr 2 01 9 Analysis of hidden-bottom bbb̄b̄ states , 2019 .

[5]  J. Vijande,et al.  Few-body quark dynamics for doubly-heavy baryons and tetraquarks , 2018, 1803.06155.

[6]  J. Vijande,et al.  String dynamics and metastability of all-heavy tetraquarks , 2017, 1703.00783.

[7]  H. Xu,et al.  Study of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$qqqc\bar c$$\end{document} five quark system with three kinds , 2012, The European Physical Journal A.

[8]  T. Rebane.  Energy bounds for a system of gravitating bosons , 2010 .

[9]  R. Hall,et al.  Semirelativistic N-boson systems bound by attractive pair potentials , 2009, 0908.2815.

[10]  S. Zouzou,et al.  Optimized Lower Bounds for Five-Body Hamiltonians , 2009 .

[11]  Jean-Marc Richard,et al.  Stability of asymmetric tetraquarks in the minimal-path linear potential , 2009, 0901.3022.

[12]  Kálmán Varga,et al.  Solution of few-body problems with the stochastic variational method II: Two-dimensional systems , 2008, Comput. Phys. Commun..

[13]  S. Zouzou,et al.  Optimized lower bounds for N-body Hamiltonians , 2006 .

[14]  S. Zouzou,et al.  An analytical proof of saturability of an optimized lower bound for N-body Hamiltonians for some mass configurations, with arbitrary N , 2006 .

[15]  R. Hall,et al.  Semirelativistic stability of N-boson systems bound by 1/rij pair potentials , 2006, hep-th/0602272.

[16]  T. Frederico,et al.  Structure of Exotic Three-Body Systems , 2005, nucl-th/0511080.

[17]  D. Gridnev.  Sufficient condition for stability of N-body system with attractive pair potentials , 2003 .

[18]  J. Richard.  Critically bound four-body molecules , 2003, physics/0302004.

[19]  A. Khare,et al.  LETTER TO THE EDITOR: Testing Hall-Post inequalities with exactly solvable N-body problems , 2001, quant-ph/0105130.

[20]  M. Waroquier,et al.  Improved lower bounds for the ground-state energy of many-body systems , 2001, nucl-th/0102061.

[21]  K. Varga,et al.  Lower bound on fermion binding energies , 2000, quant-ph/0008048.

[22]  K. Varga,et al.  Binding three or four bosons without bound subsystems , 2000 .

[23]  S. Nussinov,et al.  QCD Inequalities , 1999, hep-ph/9911532.

[24]  J. Basdevant,et al.  Optimized Lower Bound for Four-Body Hamiltonians , 1998 .

[25]  Alain J. Martin,et al.  Particle Physics and the Schrödinger Equation , 1998 .

[26]  K. Varga,et al.  Solution of few-body problems with the stochastic variational method I. Central forces with zero orbital momentum , 1997, nucl-th/9702034.

[27]  J. Basdevant,et al.  lP interpolation and optimized bounds on pairwise interacting fermion systems , 1996 .

[28]  D. Riska,et al.  The Spectrum of the nucleons and the strange hyperons and chiral dynamics , 1995, hep-ph/9505422.

[29]  Richard,et al.  Weakly bound three-body systems with no bound subsystems. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[30]  Hall.  Spectral geometry and the N-body problem. , 1995, Physical review. A, Atomic, molecular, and optical physics.

[31]  Richard,et al.  Limits on the domain of coupling constants for binding N-body systems with no bound subsystems. , 1994, Physical review letters.

[32]  Seifert,et al.  Proof of stability of the hydrogen molecule. , 1993, Physical review letters.

[33]  J. Basdevant,et al.  Improved bounds on many-body hamiltonians: (I). Self-gravitating bosons , 1990 .

[34]  J. Basdevant,et al.  Improved bounds on many-body hamiltonians: (II). Baryons from mesons in the quark model , 1990 .

[35]  B. Simon,et al.  Texts and Monographs in Physics , 1987 .

[36]  J. Richard.  On the masses of mesons and baryons in potential models , 1984 .

[37]  J. M. Richard,et al.  Do narrow heavy multiquark states exist , 1982 .

[38]  W. Thirring,et al.  Quantum mechanics of atoms and molecules , 1981 .

[39]  A. Martin,et al.  Inequalities on heavy quark-antiquark systems , 1980 .

[40]  R. Hill.  Systematic improvement of Hall–Post–Stenschke lower bounds to eigenvalues in the few‐body problem , 1980 .

[41]  J. Bernard,et al.  Test of a method for finding lower bounds to eigenvalues of the three‐body problem , 1980 .

[42]  R. Hall.  Lower energy bounds for translation‐invariant atomlike systems , 1978 .

[43]  M. Fukugita,et al.  Colour chemistry — A study of metastable multiquark molecules , 1978 .

[44]  M. R. Manning.  Incorrect lower bounds for the N-fermion problem , 1978 .

[45]  E. Balbutsev.  On the paper by RJM Carr: 'derivation of energy lower bound models for translation-invariant many-fermion systems' , 1978 .

[46]  M. R. Manning.  Improved lower bounds for the N-fermion problem , 1978 .

[47]  R. J. Carr.  Derivation of energy lower bound models for translation-invariant many-fermion systems , 1978 .

[48]  R. Hill.  Proof that the H− ion has only one bound state. Details and extension to finite nuclear mass , 1977 .

[49]  R. Hill.  Proof that the H − Ion Has Only One Bound State , 1977 .

[50]  H. Dosch,et al.  Composite hadrons in non-Abelian lattice gauge theories , 1976 .

[51]  X. Artru.  String model with baryons: Topology; classical motion , 1975 .

[52]  R. Hall.  Rigorous lower bounds on the energies of the N-body problem , 1969 .

[53]  C. Marchioro,et al.  Lower Bounds to the Ground‐State Energy of Systems Containing Identical Particles , 1969 .

[54]  J. Lévy-Leblond.  Nonsaturation of Gravitational Forces , 1969 .

[55]  H. Post,et al.  Many-particle systems: IV. Short-range interactions , 1967 .

[56]  R. Hall.  Energy lower bounds for translation-invariant N-fermion systems , 1967 .

[57]  Y. C. Tang,et al.  Upper and Lower Bound of the Eigenvalue of a Three-Body System , 1964 .

[58]  A. J. Coleman.  THE STRUCTURE OF FERMION DENSITY MATRICES , 1963 .

[59]  M. H. Kalos,et al.  Monte Carlo Calculations of the Ground State of Three- and Four-Body Nuclei , 1962 .

[60]  H. Post.  Many-Particle Systems: II , 1956 .

[61]  S. I. Rubinow,et al.  Equivalent Two-Body Method for the Triton , 1955 .

[62]  L. H. Thomas.  The Interaction Between a Neutron and a Proton and the Structure of H**3 , 1935 .