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Scaling Properties and the Bound-State Nature of the Physical Nucleon

S. D. Drell

T. D. Lee

  • Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305

  • Columbia University, New York, New York 10027

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Phys. Rev. D 5, 1738 – Published 1 April, 1972

DOI: https://doi.org/10.1103/PhysRevD.5.1738

Abstract

The scaling property in deep-inelastic electron scattering is established by regarding the physical nucleon as a bound state of a bare nucleon and a bare meson (or a few bare mesons). This bound-state formulation provides a fully relativistic generalization of the "parton" model that is no longer restricted to infinite-momentum frames. It also connects the scaling property in inelastic processes with the rapid decrease of the electromagnetic form factors in elastic scattering. Rigorous statements are derived for specific bound-state solutions of the Bethe-Salpeter equation with the ladder approximation. An Adler sum rule is derived and crossing properties are discussed. A general phenomenological approach is developed which is relativistically covariant and gauge-invariant, and which allows one to correlate directly the observed structure functions and form factors with the appropriate bound-state wave function. If all constituents in the bound state are assumed to be of masses ≲1 GeV, the model gives a qualitative understanding as to why the scaling property is experimentally observed at relatively moderate energies.

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Phys. Rev. D 5, 1738– Published 1 April, 1972
  • Received 20 December 1971

© 1972 American Physical Society

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