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Symmetry conserving approach to the quantization of the non-topological SU(3) soliton

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abstract

We reconsider canonical quantization of the rotating soliton in the SU(3) Chiral Quark-Soliton Model. We show that at the level of 1/N_c, in contrast to the SU(2) version of the model, there appear terms which spoil the commutation rules of the flavor generators. Terms of similar origin are also present in the expressions for axial couplings and magnetic moments. We investigate the small soliton limit of the model, and require that the results for the physical observables reduce to the ones of the non-relativistic quark model. This procedure allows to identify the troublesome terms. Next, we introduce a symmetry conserving approach by subtracting these terms and discuss numerical predictions obtained that way.

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Nucleon tensor form factors at large $N_{c}$

hep-ph · 2025-01-21 · conditional · novelty 6.0

In the pion mean-field picture at large Nc, the nucleon tensor charge and anomalous tensor magnetic moment are valence dominated, while the tensor quadrupole moment is sea dominated and strongly enhanced near the chiral limit.

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  • Nucleon tensor form factors at large $N_{c}$ hep-ph · 2025-01-21 · conditional · none · ref 50 · internal anchor

    In the pion mean-field picture at large Nc, the nucleon tensor charge and anomalous tensor magnetic moment are valence dominated, while the tensor quadrupole moment is sea dominated and strongly enhanced near the chiral limit.