Two loop calculation of the. omega. -. rho. mass splitting

Journal Article · Sun Nov 01 04:00:00 EST 1992 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.46.2057· OSTI ID:7157435

Hollenberg, L C.L.; Roberts, C D; McKellar, B H.J. ^[1]

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1. Research Centre for High Energy Physics, School of Physics, University of Melbourne, Parkville Victoria 3052 (Australia) Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)

A nonlocal Nambu--Jona-Lasinio model is used to calculate strong interaction contributions to the {omega}-{rho} mass splitting. We analyze the contributions of the {rho}{r arrow}{pi}{pi}, {omega}{r arrow}{rho}{pi}, and {omega}{r arrow}{pi}{pi}{pi} self-energy diagrams and fully account for their momentum dependence. We determine that, of these, the {rho}{r arrow}{pi}{pi} 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 {ital q}-{ital {bar q}} interaction in models of this type.

• DOE Contract Number: W-31109-ENG-38
• OSTI ID: 7157435
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 46:5; ISSN 0556-2813; ISSN PRVCA
• Country of Publication: United States
• Language: English

Related Subjects

662420* -- Properties of Mesons & Meson Resonances-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
DECAY
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
HADRONS
INTERACTIONS
MASS
MESONS
OMEGA-783 MESONS
PARTICLE DECAY
PARTICLE INTERACTIONS
PIONS
POSTULATED PARTICLES
PSEUDOSCALAR MESONS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK-ANTIQUARK INTERACTIONS
QUARKS
RHO-770 MESONS
VECTOR MESONS
WILSON LOOP