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arXiv 1607.06559hep-ph
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QCD中SU(4)$\times$ U(1)突现对称自旋1介子衰变的关系

Relations among pionic decays of spin-1 mesons from an SU(4)$\times$U(1) emergent symmetry in QCD

Hiroki Nishihara, Masayasu Harada

摘要:

受最近晶格分析结果的启发,我们假设当手征对称性未破缺时,$\left( ρ, ω, a_1, ρ', ω', b_1, f_1, h_1\right)$的自旋1介子在双味QCD中表示U(4)突现对称性的$\mathbf{16}$.利用SU(4)$\times$ U(1)隐定域对称性的手征模型研究了自旋为1的介子的衰变性质。我们首先证明,由于SU(4)对称性与手征对称性一起自发破缺,一个π介子与两个自旋1介子之间相互作用的耦合与相应自旋1介子的质量差成正比,类似于Goldberger-Treiman关系。此外,一些单π介子耦合通过SU(4)对称性相互关联。进一步证明了$ρ'$介子的质量、$ρ'ππ$耦合和$ρ'$ -光子混合强度之间的关系以及$ρ$介子的Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin关系.从这些关系式出发,我们给出了自旋1介子衰变宽度的比值等数值预言,并与未来检验U(4)出射对称性的实验结果进行了比较。

英文摘要:

Motivated by recent results by lattice analysis, we assume that the spin-1 mesons of $\left( ρ, ω, a_1, ρ', ω', b_1, f_1, h_1\right)$ make a representation of $\mathbf{16}$ of U(4) emergent symmetry in two-flavor QCD when the chiral symmetry is not broken. We study the decay properties of the spin-1 mesons by using a chiral model with an SU(4)$\times$U(1) hidden local symmetry. We first show that, since the SU(4) symmetry is spontaneously broken together with the chiral symmetry, each coupling of the interaction among one pion and two spin-1 mesons is proportional to the mass difference of the relevant spin-1 mesons similarly to the Goldberger-Treiman relation. In addition, some of one-pion couplings are related with each other by the SU(4) symmetry. We further show that there is a relation among the mass of $ρ'$ meson, the $ρ'ππ$ coupling and the $ρ'$-photon mixing strength as well as the Kawarabayashi-Suzuki-Riazuddin-Fayyazuddin relation for the $ρ$ meson. From the relations, we give numerical predictions such as ratios of the spin-1 meson decay widths, which are compared with future experiments for testing the existence of the U(4) emergent symmetry.

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