Precise Relations between the Spectra of Vector and Axial-Vector Mesons
Precise Relations between the Spectra of Vector and Axial-Vector Mesons
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DOI：
10.1103/physrevlett.18.507
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发表时间：
1967-03
影响因子：
8.6
通讯作者：
S. Weinberg
中科院分区：
文献类型：
--
作者：
S. Weinberg
导出了两个求和规则，将矢量电流和轴向矢量电流的谱函数的矩联系起来。如果假设这些力矩主要由数学介子和介子控制，那么它们的质量一定是$\frac{{m}_{A1}}{{m}_{\ensuremath{\rho}}}=\sqrt{2}$，，这与实验非常吻合。
Two sum rules are derived, relating moments of the spectral functions of the vector and axial-vector currents. If it is assumed that the $\ensuremath{\rho}$ and $A1$ mesons dominate these moments, then their masses must be in the ratio $\frac{{m}_{A1}}{{m}_{\ensuremath{\rho}}}=\sqrt{2}$, in very good agreement with experiment.