Hadronic wave function in quantum chromodynamics

Conference · Tue Jan 01 04:00:00 EST 1980

OSTI ID:5047405

Brodsky, S J; Huang, T; Lepage, G P

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.

• Research Organization: Stanford Linear Accelerator Center, CA (USA); Cornell Univ., Ithaca, NY (USA). Lab. of Nuclear Studies
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 5047405
• Report Number(s): SLAC-PUB-2540; CONF-800724-28
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
HADRONS
LINEAR MOMENTUM
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
TRANSVERSE MOMENTUM
WAVE FUNCTIONS