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arXiv 1403.3281hep-phhep-latnucl-th
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夸克-反夸克束缚态的电磁学

Electromagnetism in Quark-Antiquark Bound States

R. Ling, B. L. Lee, H. S. Zong, J. L. Ping

摘要:

本文用非微扰法证明了Goldstone定理的一个独特版本,即在拉格朗日量近似保持$SU(3)$手征对称性的情况下,电磁场以夸克电矩阵的交换子和一个系数因子的形式对夸克-反夸克束缚态的无自旋粒子的质量有贡献,该系数因子可以简单地用三体Bethe-Salpeter振幅表示.本文将梯形彩虹近似下的耦合Bethe-Salpeter方程和Dyson-Schwinger方程的各分量重正化,并应用于计算某些带电和中性赝标及矢量介子的质量差问题。数值计算结果与实验观测的质量谱和介子衰变常数有满意的一致性。轻夸克质量的估计也在贝特-萨尔彼得形式主义中给出。

英文摘要:

Non-perturbative proof is presented of a unique version of Goldstone theorem, that electromagnetism contributes to the masses of spinless particles of quark-antiquark bound states in the form of a commutator of the quark electric matrix and a coefficient factor which may be expressed simply in terms of a three-body Bethe-Salpeter amplitude, in the case where the Lagrangian conserves an approximate $SU(3)$ chiral symmetry. The coupled Bethe-Salpeter equation and Dyson-Schwinger equation in the ladder-rainbow approximation are layed out with every ingredient renormalized, which are applied to the problem of evaluating the mass differences of some charged and neutral pseudoscalar and vector mesons. The numerical results yield satisfactory agreement with experimental observations for the mass spectrum and meson decay constants. Estimates of the light quark masses are also given in the Bethe-Salpeter formalism.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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