AI Article Synopsis
- The study expands on the Weingarten-Witten QCD mass inequalities specifically for multihadron systems, showing that interactions among identical pseudoscalar mesons with maximal isospin are repulsive near threshold, preventing bound states from forming.
- It also identifies similar constraints for less symmetrical systems and aligns with known experimental data and recent lattice QCD calculations.
- Additionally, the findings impose a stricter minimum mass condition for nucleons, stating that the nucleon mass must be greater than or equal to 3/2 times the mass of the pion.
Article Abstract
We derive generalizations of the Weingarten-Witten QCD mass inequalities for particular multihadron systems. For systems of any number of identical pseudoscalar mesons of maximal isospin, these inequalities prove that near threshold interactions between the constituent mesons must be repulsive and that no bound states can form in these channels. Similar constraints in less symmetric systems are also extracted. These results are compatible with experimental results (where known) and recent lattice QCD calculations, and also lead to a more stringent bound on the nucleon mass than previously derived, m_{N}≥3/2m_{π}.
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