Paper detail

Current conservation, screening and the magnetic moment of the $Δ$ resonance: 2. Formulation with quark degrees of freedom 3. Magnetic moment of the $Δ^o$ and $Δ^-$ resonances

Our previous paper \cite{MFNEW} is generalized within the field theoretical formulation with the quark degrees of freedom \cite{HW,H,N,Z}, where pions and nucleons are treated as the bound systems of quarks. It is shown that relations generated by current conservation for the on shell $πN$ bremsstrahlung amplitude with composite nucleons and pions have the same form as in the usual quantum field theory \cite{IZ,BD} without quark degrees of freedom \cite{MFNEW}. Consequently, the model independent relations for the magnetic dipole moments of the $Δ^+$ and $Δ^{++}$ resonances in \cite{MFNEW} remain be the same in the quantum field theory with the quark degrees of freedom. These relations are extended for the magnetic dipole moments of the $Δ^o$ and $Δ^-$ resonances which are determined via the anomalous magnetic moment of the neutron $μ_n$ as $μ_{Δ^o}={{M_Δ}\over {m_p}} μ_n$ and $μ_{Δ^{-}}={3\over 2}μ_{Δ^o}$.