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QCD inequalities for hadron interactions.

William Detmold1

  • 1Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review Letters
|July 22, 2015
PubMed
Summary

Generalizations of QCD mass inequalities show that meson interactions near threshold are repulsive, preventing bound states. This also yields a tighter nucleon mass bound: mN ≥ 3/2 mπ.

Area of Science:

  • Quantum Chromodynamics (QCD)
  • Particle Physics
  • Nuclear Physics

Background:

  • The Weingarten-Witten inequalities provide fundamental constraints on hadron masses in Quantum Chromodynamics (QCD).
  • Understanding multihadron systems and their interactions is crucial for testing QCD predictions.

Purpose of the Study:

  • To generalize the Weingarten-Witten QCD mass inequalities for multihadron systems.
  • To investigate the nature of interactions and the possibility of bound states in specific meson systems.

Main Methods:

  • Derivation of generalized Weingarten-Witten inequalities.
  • Analysis of systems with identical pseudoscalar mesons of maximal isospin.
  • Extraction of constraints for less symmetric systems.

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Main Results:

  • Proved that interactions between constituent mesons near threshold must be repulsive.
  • Demonstrated that no bound states can form in these specific meson channels.
  • Derived a more stringent lower bound for the nucleon mass: mN ≥ 3/2 mπ.

Conclusions:

  • The derived inequalities are consistent with experimental data and lattice QCD calculations.
  • The results provide significant constraints on the properties of multihadron systems within QCD.
  • A tighter bound on the nucleon mass has been established, offering new insights into hadron structure.