Note on the magnetic moment of the nucleon
May, 2008Citations per year
Abstract: (arXiv)
The Goldberger-Treiman relation where is the constituent quark mass in the chiral limit (cl) and the pion decay constant in the chiral limit predicts constituent quark masses of MeV and MeV for the up and down quark, respectively, when MeV is adopted. Treating the constituent quarks as bare Dirac particles the following zero order values \mu^{(0)}}_p=2.850\pm 0.009 and \mu^{(0)}}_n= -1.889\pm 0.006 are obtained for the proton and neutron magnetic moments, leading to deviations from the experimental data of 2.0% and 1.3%, respectively. These unavoidable deviations are discussed in terms of contributions to the magnetic moments proposed in previous work.- nucleon: magnetic moment
- PCAC model
- pi: decay constant
- quark: mass
- numerical calculations
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