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Duality and Single-Particle Production

C. E. DeTar

Kyungsik Kang and Chung-I Tan

J. H. Weis

  • Laboratory for Nuclear Science and Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

  • Department of Physics, Brown University, Providence, Rhode Island 02912

  • Laboratory for Nuclear Science and Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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Phys. Rev. D 4, 425 – Published 15 July, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.425

Abstract

Following Mueller, we relate the single-particle production cross section for the process a+b→x+ anything to a discontinuity of the six-line amplitude a+b+x¯→a+b+x¯. Using the dual-resonance model for the six-line amplitude, we obtain an explicit form for the production cross section at high energies. The formula exhibits the expected features of limiting fragmentation, an invariant central region, and triple-Regge asymptotic behavior. In addition, it has a universal cutoff in transverse momentum of the form e−4bp⊥2 in the central region, where b is the universal trajectory slope. We discuss for particle production some general consequences of duality in the missing mass. For example, we relate the behavior of two-body scattering amplitudes at wide angles to the transverse-momentum dependence of production cross sections. Finally, we discuss the possible experimental relevance of our results.

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Outline

Information

Phys. Rev. D 4, 425– Published 15 July, 1971
  • Received 21 January 1971

© 1971 American Physical Society

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