Abstract
We estimate hadronic self-energy effects to “bare” pseudoscalar (P) and vector (V) meson states due to theP→PV→P, P→VV→P, V→ PP→V, V→PV→V andV→VV→V loops. We simulate higher order diagrams by consistently requiring external and internal particles to have the same mass. We find good agreement with all the experimental masses (exceptm π), widths and mixing angles. The “bare”P andV states are heavy (≈1.26 GeV) and degenerate up to a smallm s−mu quark mass difference term. The “bare” coupling constants for thePPV, PVV andVVV vertices obey exact OZI rule and almost exact SU(6) W symmetry. We use a common cut-off ofk cm≃0.7 GeV/c corresponding to a harmonic oscillator radius of ≃0.7 fm for all SU(6) W related thresholds except for the pion.
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Roos, M., Törnqvist, N. Pseudoscalars and vector mesons in a unitary and self-consistently broken SU(6) W scheme. Z. Phys. C - Particles and Fields 5, 205–212 (1980). https://doi.org/10.1007/BF01421777
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DOI: https://doi.org/10.1007/BF01421777