WAVE-FUNCTION-INDEPENDENT RELATIONS BETWEEN THE NUCLEON AXIAL-COUPLING G(A) AND THE NUCLEON MAGNETIC-MOMENTS

被引:95
作者
BRODSKY, SJ
SCHLUMPF, F
机构
[1] Stanford Linear Accelerator Center, Stanford University, Stanford
关键词
D O I
10.1016/0370-2693(94)90525-8
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We calculate the proton's magnetic moment mu(p) and its axial-vector coupling g(A) as a function of its Dirac radius R1 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 R1 = 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 congruent-to 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 R1 --> 0, the constituent quark helicities become completely disoriented and g(A) --> 0.
引用
收藏
页码:111 / 116
页数:6
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