The Adler-Weisberger sum rule in the large N<sub>c</sub> limit
A Wirzba; M Kirchbach; D O Riska; A Wirzba; Inst. fur Kernphys., Tech. Hochschule Darmstradt, Germany; M Kirchbach; Inst. fur Kernphys., Tech. Hochschule Darmstradt, Germany; D O Riska; Inst. fur Kernphys., Tech. Hochschule Darmstradt, Germany
Журнал:
Journal of Physics G: Nuclear and Particle Physics
Дата:
1994-10-01
Аннотация:
We determine the N<sub>c</sub> dependence of the resonance contributions to the Adler-Weisberger sum rule for the inverse square of the axial charge-coupling constant, and show that in the large N<sub>c</sub> limit the contributions of the radially excited even-parity resonances, as the P<sub>11</sub> and P<sub>33</sub>' excitations, scale as O(1/N<sub>c</sub>). Consistency with the 1/N<sub>c</sub><sup>2</sup> scaling of the 1/g<sub>A</sub><sup>2</sup> term in the sum rule requires these contributions to cancel each other out.
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