Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-02-03
Phys.Lett.B329:111-116,1994
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, RevTeX, 4 uuencoded figures, SLAC-PUB-6431
Scientific paper
10.1016/0370-2693(94)90525-8
We calculate the proton's magnetic moment $\mu_p$ and its axial-vector coupling $g_A$ as a function of its Dirac radius $R_1$ using a relativisitic three-quark model formulated on the light-cone. The relationship between $\mu_p$ and $g_A$ is found to be independent of the assumed form of the light-cone wavefunction. At the physical radius $R_1=0.76$ fm, one obtains the experimental values for both $\mu_p$ and $g_A$, and the helicity carried by the valence $u$ and $d$ quarks are each reduced by a factor $\simeq 0.75$ relative to their non-relativistic values. At large proton radius, $\mu_p$ and $g_A$ are given by the usual non-relativistic formulae. At small radius, $\mu_p$ becomes equal to the Dirac moment, as demanded by the Drell-Hearn-Gerasimov sum rule. In addition, as $R_1 \to 0,$ the constituent quark helicities become completely disoriented and $g_A \to 0$.
Brodsky Stanley J.
Schlumpf Felix
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