Hadronic wave function in quantum chromodynamics

The underlying link between hadronic phenomena in quantum chromodynamics at large and small distance is the hadronic wavefunction. The theoretical and empirical constraints on the hadronic wave-function and hadronic structure functions; the predictions of perturbative QCD for the large transverse momentum tail of the Fock state infinite momentum wavefunction psi (k/sub perpendicular to i/,x/sub i/,s/sub i/); the valence Fock state meson wavefunctions from the meson decay; the evolution equations of the distribution amplitudes; and a simplified model for the basic wavefunctions are presented. In particular, a new type of low energy theorem is obtained for the pion wavefunction from the ..pi../sup 0/ ..-->.. ..gamma gamma... This result, together with the constraint on the valence wavefunction from the ..pi../sup 0/ ..-->.. ..mu nu.. decay, leads to the probability of finding the valence vertical bar q anti q > state. All these constraints allow construction of a possible model which describes hadronic wavefunctions, probability amplitudes, and distributions. Results are compared with data for form factors and the deep inelastic processes. This work represents a first attempt to construct a model of hadronic structure which is consistent with data and QCD at large and small distances