Partial symmetry for charmonium, upsilon, and barionium

Abstract

Extension of Schwinger's Partial Symmetry (PS) Principle at the phenomenological level is suggested for the simulation of e.m. interaction of new quark flavors (charm, upsilon) as well as of diquarks (qD) which are particularly useful for the description of baryonium (BB̅) states. For this purpose we invoke an important aspect of the principle, viz., equal strengths (1/2g_vm_v^-1) of the magnetic and charge (times m_u)interactions of V-meson fields with q-quarks (u, d, s), where the observable V-meson masses (m_u = m^ϱ, m_ω, m_φ) effectively play the role of the (invisible) quark masses, and the VMD principle of e.m. substitution determines the magnetic interaction in terms of the universal charge interaction. For e.m. interactions of charm (c) and upsilon (Q), the natural V-field choices are the ψ-ion (m_u = m_ψ) and θ-meson (m_u= m_θ≃9.4) with e.m. substitutions ψ_μ → {[2(2)^1/2]/3} eg ψ_θ^-1A_μ and θ_μ → 2_1/2 e_Qeg_ψ^-1A_μ (e_Q = 2/3 or -1/3 ). This facilitates an unambiguous set of predictions of the magnetic and transition moments of all the charmed hadrons, in conjunction with Schwinger's (ϱ, ω, φ,) model for coupling to q-quarks. The feasibility of early experimental tests of this model, mainly via transition moments, is discussed. The general feature in every case is an inverse proportionality of the magnetic interaction of each quark component to the appropriate V-meson mass. In a similar spirit, with the assumption of "elementarity" of diquarks (q_D) under reasonable kinematical conditions, the e.m. interaction of diquarks is postulated through the intermediary of a baryonium V-meson (I = 0 or 1), with typical mass m = 1.94. This gives good agreement for g_A/g_u (= -1.22) and μ_p/μ_n (= -1.45), even for a 56-like nucleon.