A Sum Rule Based on Unitarity

Farzam Arbab and Richard C. Slansky
Phys. Rev. 171, 1785 – Published 25 July 1968
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Abstract

Unitarity, analyticity, Regge asymptotic behavior, and a resonance approximation are combined to derive a new sum rule. The sum rule is very convergent; the contribution of high-mass resonances is suppressed by a decreasing weight function. The spin-flip and non-spin-flip residues of the ρ meson in the ππNN¯ amplitude are evaluated at the mass of the ρ, and in conjunction with the first-moment finiteenergy sum rule, a calculation of the ρ-meson mass is performed. The results are in good agreement with experiment. A calculation of the ρ and f0 resonance parameters in the ππππ amplitude is also discussed.

  • Received 11 March 1968

DOI:https://doi.org/10.1103/PhysRev.171.1785

©1968 American Physical Society

Authors & Affiliations

Farzam Arbab

  • Lawrence Radiation Laboratory, University of California, Berkeley, California

Richard C. Slansky

  • California Institute of Technology, Pasadena, California

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Issue

Vol. 171, Iss. 5 — July 1968

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