Abstract
The implications of identifying the first excited vibrational state of static pion and nucleon system to the Roper resonance, for the isovector magnetic moments of nucleons are studied with a refined form of the Pauli and Dancoff strong coupling theory. A satisfactory result is obtained when we introduce a strong attractive pion-pion interaction through the reduced effective mass of bound pions. Then we computed the ratio of magnetic moments of the neutron and proton for unitary irreducible representations with the Young tableaux (N, 0, 0), where N = 1, 3, 5 and ∞, of a group SU(4). It is 0, -2/3, -16/19 and -1. Strong coupling theory and group theoretic argument for N = ∞ give the same value (-1).
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