1/Nc Rotational Corrections to gₐ and Isovector Magnetic Moment of the Nucleon

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The 1/Nc rotational corrections to the axial vector constant and the isovector magnetic moment of the nucleon are studied in the Nambu -- Jona-Lasinio model. We follow a semiclassical quantization procedure in terms of path integrals in which we can include perturbatively corrections in powers of angular velocity Ω 1Nc. We find non-zero 1/Nc order corrections from both the valence and the Dirac sea quarks. These corrections are large enough to resolve the long-standing problem of a strong underestimation of both gₐ and μIV in the leading order. The axial constant gₐ is well reproduced, whereas the isovector magnetic moment μIV is still underestimated by 25 %.