AsymptoticSU(6)WSpectral Sum Rules. II. Applications and Bare Quark Masses

Abstract

The sum rules of the preceding paper are investigated in detail in pole dominance. The ratio $\frac{f_K}{f_{\pi }}$ is found to be near unity and all nonexotic baryons must satisfy an approximate mass formula $M=a-bY$ with the universal constant $b\simeq m_3-m_1\simeq 150$ MeV, where $m_1$, $m_2$, and $m_3$ are masses of bare quarks. Moreover, we compute $m_1\simeq 7$ MeV and $m_3\simeq 156$ MeV in a model where $\mathrm{SW}\left(3\right)\mathrm{}$ is exact except for the quark mass term.