Current-quark masses from a relativistic constituent-quark model
Phys. Rev. D 39, 873 – Published 1 February, 1989
DOI: https://doi.org/10.1103/PhysRevD.39.873
Abstract
We consider a relativistic version of the constituent-quark model which gives sharply defined and model-independent values of constituent-quark masses and gives a good fit to the ground-state 35 mesons and to the excited states of ρ and mesons. The isospin-breaking u-d constituent-quark mass difference is determined from the mass splittings of K and mesons after appropriate electromagnetic corrections. The constituent-quark mass is written as the sum of a flavor-independent dynamical mass (which is determined by using the Goldstone theorem guaranteeing vanishing pseudoscalar-meson masses in the chiral limit) and a flavor-dependent part which is a function of current-quark mass. Depending on the model used, we get /m=6.8 to 19.1 and values of (-)/(+) which range between 0.06 and 0.11 if we consider K mesons and between 0.22 and 0.40 if we consider mesons.