Asymptotic ${SU (6)}_{W}$ Spectral Sum Rules. II. Applications and Bare Quark Masses

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25 December 1969

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 188 (5) , 2300-2307
https://doi.org/10.1103/physrev.188.2300

Abstract

The sum rules of the preceding paper are investigated in detail in pole dominance. The ratio

\frac{f_{K}}{f_{π}}

is found to be near unity and all nonexotic baryons must satisfy an approximate mass formula

M = a - b Y

with the universal constant

b ≃ m_{3} - m_{1} ≃ 150

MeV, where

m_{1}

,

m_{2}

, and

m_{3}

are masses of bare quarks. Moreover, we compute

m_{1} ≃ 7

MeV and

m_{3} ≃ 156

MeV in a model where

SW (3)

is exact except for the quark mass term.

Keywords

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