Current conservation and analytic determination of the magnetic moment of the Δ resonance in the πN bremsstrahlung: II. Formulation with quark degrees of freedom. III. Magnetic moment of the Δo and Δ- resonances
Abstract
Our previous paper (Machavariani and Faessler 2010 J. Phys. G: Nucl. Part. Phys. 37 075004) is generalized within the field-theoretical formulation with the quark-gluon degrees of freedom (Huang and Weldon 1975 Phys. Rev. D11 257; Haag 1958 Phys. Rev. 112 669; Nishijima 1958 Phys. Rev. 111 995; Zimmermann 1958 Nuovo Cimento 10 598), where pions and nucleons are treated as the bound (cluster) systems of quarks. It is shown that current conservation for the on-shell πN bremsstrahlung amplitude with the composite nucleons and pions has the same form as in the usual quantum field theory (Itzykson and Zuber 1980 Quantum Field Theory (New York: McGraw-Hill); Bjorken and Drell 1965 Relativistic Quantum Fields (New York: McGraw-Hill)) without quark-gluon degrees of freedom (Machavariani and Faessler 2010). The model-independent representation of the Δ - γ'Δ vertex through the π - γ'π', N - γ'N', Δ - πN vertices remain the same in the quantum field theory with the quark-gluon degrees of freedom. Correspondingly, the magnetic dipole moments of the Δ+ and Δ++ resonances in the field-theoretical formulations with and without quark-gluons are identical. These results are extended for the magnetic dipole moments of the Δo and Δ- resonances which are determined via the anomalous magnetic moment of the neutron μn as \mu _{\Delta ^o}={ {M_{\Delta }}\over {m_p}} \mu _n and \mu _{\Delta ^{-}}={3\over 2}\mu _{\Delta ^o}.
- Publication:
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Journal of Physics G Nuclear Physics
- Pub Date:
- March 2011
- DOI:
- 10.1088/0954-3899/38/3/035002
- arXiv:
- arXiv:0809.1303
- Bibcode:
- 2011JPhG...38c5002M
- Keywords:
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- Nuclear Theory
- E-Print:
- The second part of Preprint arXiv:nucl-th/0804.1322 2008