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Effective field theory and the quark model
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We analyze the connections between the quark model (QM) and the description of hadrons in the low-momentum limit of heavy-baryon effective field theory in QCD. By using a three-flavor-index representation for the effective baryon fields, we show that the ``nonrelativistic'' constituent QM for baryon masses and moments is completely equivalent through O(m_s) to a parametrization of the relativistic field theory in a general spin--flavor basis. The flavor and spin variables can be identified with those of effective valence quarks. Conversely, the spin-flavor description clarifies the structure and dynamical interpretation of the chiral expansion in effective field theory, and provides a direct connection between the field theory and the semirelativistic models for hadrons used in successful dynamical calculations. This allows dynamical information to be incorporated directly into the chiral expansion. We find, for example, that the striking success of the additive QM for baryon magnetic moments is a consequence of the relative smallness of the non-additive spin-dependent corrections.
Forward citations
Cited by 2 Pith papers
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Quark-diquark effective mass formalism for heavy baryon spectroscopy
A quark-diquark formalism extracts effective masses and couplings from known heavy baryon data to predict spectra across singly, doubly, and triply heavy sectors with two scenarios and a mass-dependent binding term.
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Systematic study of light and charm meson M1 radiative transitions
The paper calculates vector meson magnetic moments and M1 radiative decay widths for light and charm mesons, finding that both models need empirical scale factors to match measured charm decays.
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