Baryon magnetic moments in broken SU(6)
The magnetic moments of the baryons belonging to the low lying SU(3) octet are computed using second order perturbation theory taking into account the effect of the spin dependent interactions that are expected to arise in QCD. The unperturbed eigenfunctions of the confining Hamiltonian are approximated by harmonic oscillator wave functions and the flavor × spin parts belong, in the limit of equal quark masses, to irreducible representations of SU(6). In this basis we then calculate the mixing of the (56, O+) ground state wave function with the orbital and radial excitations labeled by (56, O R + ), (70, O+), (20, 1+) and (70, 2+). This mixing arises not only from the spin dependent interactions but also from the differences among quark masses. Finally we comment on other contributions to the magnetic moments not taken into account in this work.
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