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

Details 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 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

2008-09-08

arxiv.org/abs/0809.1303v1

Physics

Nuclear Physics

Nuclear Theory

The second part of Preprint arXiv:nucl-th/0804.1322 2008; 17 pages 3 figures, 1 Table

Scientific paper

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 $\pi N$ 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 $\Delta^+$ and $\Delta^{++}$ 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 $\Delta^o$ and $\Delta^-$ resonances which are determined via the anomalous magnetic moment of the neutron $\mu_n$ as $\mu_{\Delta^o}={{M_{\Delta}}\over {m_p}} \mu_n$ and $\mu_{\Delta^{-}}={3\over 2}\mu_{\Delta^o}$.

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