Two loop calculation of the ω-ρ mass splitting

Lloyd C. L. Hollenberg, Craig D. Roberts, and Bruce H. J. McKellar
Phys. Rev. C 46, 2057 – Published 1 November 1992
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Abstract

A nonlocal Nambu–Jona-Lasinio model is used to calculate strong interaction contributions to the ω-ρ mass splitting. We analyze the contributions of the ρ→ππ, ω→ρπ, and ω→πππ self-energy diagrams and fully account for their momentum dependence. We determine that, of these, the ρ→ππ term dominates to the point where the other terms may be neglected. The meson loop expansion in this model is therefore seen to be rapidly convergent. The results of our calculation suggest some qualitative constraints on the confining part of the q-q¯ interaction in models of this type.

  • Received 13 March 1992

DOI:https://doi.org/10.1103/PhysRevC.46.2057

©1992 American Physical Society

Authors & Affiliations

Lloyd C. L. Hollenberg, Craig D. Roberts, and Bruce H. J. McKellar

  • Research Centre for High Energy Physics, School of Physics, University of Melbourne, Parkville Victoria 3052, Australia
  • Physics Division, Argonne National Laboratory, Argonne, Illinois 60439

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Issue

Vol. 46, Iss. 5 — November 1992

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