An experimentally derived magnetic moment for the f _{7 2} proton in trans-lead nuclei

An experimental value for the g-factor of the _{7 2} proton is derived from the measured magnetic moment of the 14₁⁺ state in ²¹⁴Ra (nominal configuration |(h _{9 2}⁵ _{21 2}f _{7 2}; 14⁺〉) using the multiparticle-octupole-coupling model. The result, g(f _{7 2}) = 1.41(2), is smaller than anticipated by theories which assume first-order core-polarization corrections to the proton spin g-factor together with an anomalous orbital magnetism of about 0.12. The experimental value suggests the proton spin g-factor g_s may be quenched, in this orbital, to about half the bare-nucleon value, similar to that found for the 0h _{9 2} and 0i _{13 2} protons, or, alternatively, that the anomalous orbital magnetism is much reduced for the lf _{7 2} orbital.