Unified Description of Meson and Baryon Masses and the Charmed Particles
S. Sawada · Progress of Theoretical Physics · 1976
A unified description of masses of mesons and baryons is proposed which is reduced to the quadratic and linear mass formula for very small and large hadron masses, respectively. Usual linear mass relations are applied to the quantity defined by M = √m2+m02-m0 , where m is the mass of observed hadron and m0 is a constant. Then the symmetry breaking parameters such as δmλ2 = mK2-mπ2 for mesons and Δmλ= (mΩ-mΔ)/3 for baryons can be related approximately through a scale mass m0 as δmλ2 ≃2m0Δmλ, where m0 ∼1 GeV. The Okubo-Gell-Mann relation for the octet baryons and the equal-spacing law for the decuplet baryons hold extremely well when m0 ∼1 GeV is taken. In the quartet model, we assume that mass breaking parameters due to charm Δmc are given by taking Δmc-Δmλ (as the alternative of Δmc/Δmλ) common to all multiplets. The masses of vector, pseudoscalar and tensor mesons are calculated and compared with experiments on the heavy new particles.