arXiv 1609.092352016-09hep-phnucl-th

共振手征微扰理论中具有内禀宇称破坏相互作用的Dalitz衰变分析

Analysis of Dalitz decays with intrinsic parity violating interactions in resonance chiral perturbation theory

Daiji Kimura, Takuya Morozumi, Hiroyuki Umeeda

备注：: 73 pages, 17 figures, 13 tables. Version accepted in PTEP
发表信息：: Prog Theor Exp Phys (2018)
DOI：: 10.1093/ptep/pty122

摘要：

在包含矢量介子共振场的手征拉格朗日模型中分析了轻强子衰变的观测量。特别是，过渡形式的因素进行了调查的Dalitz衰变的$V\to Pl^+l^-$和$P\to γl^+l^-$ $(V=1^-, P=0^-)$。此外，还计算了$P\to π^+π^-γ$的微分衰变宽度以及$P\to2γ, V\to Pγ, η^\prime\to Vγ, ϕ(1020)\toω(782)π^0$和$V\to 3P$的部分宽度.在这项研究中，我们考虑了一个模型，其中包含八重态和单重态字段的$SU(3)$表示。作为手征微扰理论的推广，我们引入了单圈有序相互作用项。对于赝标介子和矢量介子，我们计算了其中考虑了同位旋/ $SU(3)$破缺的混合矩阵。此外，内禀宇称破坏相互作用被认为是单重场。对于参数估计，我们进行了$χ^2$拟合，其中使用$τ$衰变的谱函数、矢量介子质量、$V\to Pγ$的衰变宽度和$V\to Pl^+l^-$的跃迁形状因子作为输入数据。利用模型中估计的参数区域，我们给出了内禀宇称破坏衰变的衰变宽度和跃迁形状因子的预言。作为进一步的模型预测，我们计算了$ϕ(1020)\to π^0l^+l^-$和$η^\prime\toγl^+l^-$在共振区附近的过渡形状因子，考虑到中间体$ρ(770)$和$ω(782)$的贡献。

英文摘要：

Observables of light hadron decays are analyzed in a model of chiral Lagrangian which includes resonance fields of vector mesons. In particular, transition form factors are investigated for Dalitz decays of $V\to Pl^+l^-$ and $P\to γl^+l^-$ $(V=1^-, P=0^-)$. Moreover, the differential decay width of $P\to π^+π^-γ$ and the partial widths of $P\to2γ, V\to Pγ, η^\prime\to Vγ, ϕ(1020)\toω(782)π^0$ and $V\to 3P$ are also calculated. In this study, we consider a model which contains octet and singlet fields as representation of $SU(3)$. As an extension of chiral perturbation theory, we include 1-loop ordered interaction terms. For both pseudoscalar and vector meson, we evaluate mixing matrices in which isospin/$SU(3)$ breaking is taken into account. Furthermore, intrinsic parity violating interactions are considered with singlet fields. For parameter estimation, we carry out $χ^2$ fittings in which a spectral function of $τ$ decays, vector meson masses, decay widths of $V\to Pγ$ and transition form factor of $V\to Pl^+l^-$ are utilized as input data. Using the estimated parameter region in the model, we give predictions for decay widths and transition form factors of intrinsic parity violating decays. As further model predictions, we calculate the transition form factors of $ϕ(1020)\to π^0l^+l^-$ and $η^\prime\toγl^+l^-$ in the vicinity of resonance regions, taking account of the contribution for intermediate $ρ(770)$ and $ω(782)$.

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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