Properties of Hadrons as Quark Bound States on the Null-Plane
May, 197522 pages
Published in:
- Nucl.Phys.B 98 (1975) 215-236
- Published: 1975
Report number:
- Print-75-0376 (GENEVA)
Citations per year
Abstract: (Elsevier)
Specific properties of the interacting quark fields when quantized on the null plane are exploited in order to construct one-hadron states. The Melosh transformation naturally appears in the definition of these relativistic quark bound states and it implies a definite pattern for SU(6) and SU(3) breaking in the various coupling constants. The only three parameters of the model, 〈 p ⊥ 2 〉 and the two quark effective masses, are determined from the experimental values of g A , μ proton and μ Λ . Many results are then obtained and successfully compared with experiments, as for instance, Γ ( ϱ → ππ ) = 140 MeV, Γ (f → ππ ) = 96 MeV, Γ (A 2 → ϱπ ) = 61 MeV, Γ (B → ωπ ) = 125 MeV, Γ(g → ππ) = 23 MeV , Γ(ϱ′ → ππ) ⋍ 0, Γ(ϱ′ → 4π) ⋍ 450 MeV , Γ ( ω → π 0 γ ) = 990 keV, Γ ( φ → ηγ ) = 115 keV, 〈 r 2 〉 π + = 0.54 fm 2 , 〈r 2 〉 K 0 = −0.025 fm 2 , ƒ K = 1.12 ƒ π , ƒ ϱ = 1, 62ƒ π . An interesting connection between baryon radii and the neutron/proton ratio of the deep inelastic scattering structure functions is discussed. The inclusion of charmed quarks into the model gives a value Γ(ψ → e + e − ) ⋍ 2 keV and, furthermore, an acceptably small value for the radiative decay of the ψ (⪅ 100 keV).- MODEL: HADRON
- QUARK: BOUND STATE
- TRANSFORMATION: MELOSH
- SYMMETRY: SU(6)
- SYMMETRY: SU(3)
- SYMMETRY: BROKEN
- QUARK: MASS
- MASS: QUARK
- MAGNETIC MOMENT
- MESON RESONANCE: WIDTH
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