论文标题
格子上的奇异元素杂种
Strangeonium-like hybrids on the lattice
论文作者
论文摘要
类似于奇异的$ s \ bar {s} g $杂种在淬灭近似中从lattice qcd进行了研究。在库仑量表中，以$ 1^{ - } $和$（0,1,2）^{ - +} $状态构造了空间扩展的运算符，其颜色八粒$ s \ bar {s} $组件与空间距离$ r $之间的水平元素和对应量元素之间的ber nates nates nates nates berte and berte and berte and the Mattrix and berthe Mattrix and bere and bere（by）均为berimagy and bere the bere（波函数。在$（1,2）^{ - +} $通道中的每一个中，质量和BS波函数都是可靠地得出的。 $ 1^{ - +} $接地状态质量约为2.1-2.2 GEV，$ 2^{ - +} $的质量约为2.3-2.4 GEV，而第一个兴奋状态的质量大约为1.4 GEV。这种质量分裂要比现象学通量模型模型或杂种构成的Gluon模型的期望大得多，该模型通常是几百meV。相对于$ r $，BS波的功能显示出非相关的两体系统的清晰径向径向结构，这意味着$ r $对于这些混合动力车而言是有意义的动力学变量，并激发了颜色八八粒子$ s \ bar {s} $的颜色光环图片。在$ 1^{ - } $ Channel中，最低两个状态的属性符合$ ϕ（1020）$和$ ϕ（1680）$的属性。但是，我们尚未获得与$ ϕ（2170）$相关的令人信服的信息，但是，我们认为是$ ϕ（2170）$是常规的$ s \ bar {s} $ meson还是$ s \ bar {s} s} g $ hybrid，y y halo seacario of color halo seacario in color seacario obs $ ubs $ cob $ ubs $ ubs $γ（$γ（可以通过像$η-η'$ Mixing一起使用HADRONIC过渡的机制来理解Besiii。
The strangeonium-like $s\bar{s}g$ hybrids are investigated from lattice QCD in the quenched approximation. In the Coulomb gauge, spatially extended operators are constructed for $1^{--}$ and $(0,1,2)^{-+}$ states with the color octet $s\bar{s}$ component being separated from the chromomagnetic field strength by spatial distances $r$, whose matrix elements between the vacuum and the corresponding states are interpreted as Bethe-Salpeter (BS) wave functions. In each of the $(1,2)^{-+}$ channels, the masses and the BS wave functions are reliably derived. The $1^{-+}$ ground state mass is around 2.1-2.2 GeV, and that of $2^{-+}$ is around 2.3-2.4 GeV, while the masses of the first excited states are roughly 1.4 GeV higher. This mass splitting is much larger than the expectation of the phenomenological flux-tube model or constituent gluon model for hybrids, which is usually a few hundred MeV. The BS wave functions with respect to $r$ show clear radial nodal structures of non-relativistic two-body system, which imply that $r$ is a meaningful dynamical variable for these hybrids and motivate a color halo picture of hybrids that the color octet $s\bar{s}$ is surrounded by gluonic degrees of freedom. In the $1^{--}$ channel, the properties of the lowest two states comply with those of $ϕ(1020)$ and $ϕ(1680)$. We have not obtained convincing information relevant to $ϕ(2170)$ yet, however, we argue that whether $ϕ(2170)$ is a conventional $s\bar{s}$ meson or a $s\bar{s}g$ hybrid within the color halo scenario, the ratio of partial decay widths $Γ(ϕη)$ and $Γ(ϕη')$ observed by BESIII can be understood by the mechanism of hadronic transition of a strangeonium-like meson along with the $η-η'$ mixing.
