QCD inequalities for hadron interactions
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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[subscript N] ≥ 3/2m[subscript π].
DepartmentMassachusetts Institute of Technology. Center for Theoretical Physics; Massachusetts Institute of Technology. Department of Physics
Physical Review Letters
American Physical Society
Detmold, William. "QCD inequalities for hadron interactions." Phys. Rev. Lett. 114, 222001 (June 2015). © 2015 American Physical Society
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