Quark anomalous magnetic moment and its effects on the $\rho$ meson properties

Abstract

A symmetry-preserving treatment of mesons, within a Dyson-Schwinger and Bethe-Salpeter equations approach, demands an interconnection between the kernels of the quark gap equation and meson Bethe-Salpeter equation. Appealing to those symmetries expressed by the vector and axial-vector Ward-Green-Takahashi identitiges (WGTI), we construct a two-body Bethe-Salpeter kernel and study its implications in the vector channel; particularly, we analyze the structure of the quark-photon vertex, which explicitly develops a vector meson pole in the timelike axis and the quark anomlaous magnetic moment term, as well as a variety of $\rho$ meson properties: mass and decay constants, electromagnetic form factors, and valence-quark distribution amplitudes.

12 pages, 5 figures

References in corpus (16)

• Baryons as relativistic three-quark bound states
• Sketching the Bethe-Salpeter kernel
• Dressed-quark anomalous magnetic moments
• Abelian anomaly and neutral pion production
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• Pion form factor from a contact interaction
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• Elastic electromagnetic form factors of vector mesons
• Light Meson Form Factors at near Physical Masses
• Parity partners in the baryon resonance spectrum
• Form Factors of the Nucleon Axial Current
• The rainbow modified-ladder approximation and degenerate pion

Cited by in corpus (2)

• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• Pion scalar, vector and tensor form factors from a contact interaction