Effective field theory and the quark model

Loyal Durand, Phuoc Ha, Gregory Jaczko

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We analyze the connections between the quark model (QM) and the description of hadrons in the lowmomentum 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(ms) 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.

Original languageEnglish (US)
Article number014008
JournalPhysical Review D
Volume64
Issue number1
DOIs
StatePublished - 2001
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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