INTERNAL GEOMETRY OF HADRON RESONANCES

Motivated by previous work on high-energy quantum mechanics, a simple model is devised to study the internal geometry of hadron resonances. In this model we assume new basic canonical commutation relations betw een the (internal) coordinate and momentum operators of the hadronic q uantum system. By systematically imposing Lie algebra commutation rela tions between these and other observables, we discuss the free and bou nd particle problems, identifying in each case the corresponding inter nal symmetries. For the bound particle problem, which models quark con finement, this symmetry turns out to be characterized by Dirac's two-o scillator representation of the 0(3, 2) de Sitter group.