Baryon magnetic moments in the QCD string approach ( the Nonperturbative QCD approach )

Magnetic moments of baryons composed of light and strange quarks are computed for the first time through the only parameter of the model– string tension σ. For example, µ p = m p /c √ σ, µ Ω − = −µ p (1 + 3 4 m 2 s c 2 σ − 15 32 m 4 s c 4 σ 2) −1 , where magnetic moments are expressed in nuclear magnetons, m p is the proton mass, m s is the strange quark current mass, c = 0.957 – a constant which is caluculated in the paper. Resulting theoretical values differ from the experimental ones typically by about 10%. 1. Recently in a stimulating analysis of the hyperon static properties [1] H.J.Lipkin displayed remarkably successful relations connecting strange and nonstrange baryon magnetic moments and the corresponding quark masses ν u and ν s (in order to avoid similar notations for masses and magnetic moments we denote current quark masses by m k and dynamical, or constituent, quark masses by ν k). To understand why these relations so well agree with the experiment and to get insight into the problems encountered in semileptonic decays of baryons [1] one needs a dynamical approach which would enable one to express constituent masses of quarks and baryon magnetic moments in terms of a single QCD scale parameter. It is a purpose of the present letter to express the magnetic moments of baryons and constituent masses of the 1