Constituent and current quark masses at low chiral energies

Abstract

Light constituent quark masses and the corresponding dynamical quark masses are determined by data, the Quark-Level Linear $\sigma$ Model, and infrared QCD. This allows to define effective nonstrange and strange current quark masses which reproduce the experimental pion and kaon masses very accurately, by simple additivity. Moreover, the masses of the light scalar mesons $\sigma (600)$ and $\kappa (800)$ can be obtained straightforwardly from the constituent quark masses. In contrast, the usual nonstrange and strange current quark masses employed by Chiral Perturbation Theory do not allow a simple quantitative explanation of the pion and kaon masses.

5 pages, EPL style, accepted for publication in Europhys. Lett

References in corpus (7)

• A low-lying scalar meson nonet in a unitarized meson model
• The nature of $\sigma$, $\kappa$, $a_0(980)$ and $f_0(980)$
• The mass of the sigma pole
• Constituent Quark Masses and the Electroweak Standard Model
• Comment on "Mass and Width of the Lowest Resonance in QCD"
• Pion Chiral Symmetry Breaking in the Quark-Level Linear Sigma Model and Chiral Perturbation Theory
• Pion and Kaon Masses and Pion Form Factors from Dynamical Chiral-Symmetry Breaking with Light Constituent Quarks

Cited by in corpus (4)

• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• Note on the magnetic moment of the nucleon
• An interpretation of scalars in SO(32)
• Limit on Higgs boson trilinear self-coupling in coupled technicolor models