论文标题
$υ（NS）$状态的Quarkonium和Meson-Meson组成以及新的$υ（10753）$ Belle共鸣的lattice QCD静态电势
Computation of the quarkonium and meson-meson composition of the $Υ(nS)$ states and of the new $Υ(10753)$ Belle resonance from lattice QCD static potentials
论文作者
论文摘要
我们计算Buttononium $υ（NS）$状态（包括$υ（10860）$）和Belle报道的新的$υ（10753）$共振的底部$υ（NS）$状态（包括$υ（10860）$）的成分。我们使用晶格QCD弦线破裂潜力来研究共振的最近开发的新型方法。这种方法基于天生的Oppenheimer近似和单位紧急波方法，并允许计算$ \ mbox {s} $矩阵的极点。我们专注于$ i = 0 $ bottomonium $ s $ wave绑定状态和共振，其中schrödinger方程是一组耦合的微分方程。其中一个频道对应于一个受限制的夸克 - 易夸克对$ \ b b b $，其他频道对应于一对重的梅松。在先前的研究中，仅考虑了一个梅森 - 梅森通道$ \ bar {b}^{（\ ast）} b^{（\ ast）} $。现在，我们还包括封闭的陌生通道$ \ bar {b} _s^{（\ ast）} b_s^{（\ ast）} $，扩展了我们的形式主义，以使对底部的更现实描述。我们确认新的Belle共振$υ（10753）$是动态的梅森 - 梅森共鸣，约为$ 85 \％$ $ Meson-Meson的内容。此外，我们将$υ（4s）$和$υ（10860）$确定为具有相当大的Quarkonium和Meson-Meson内容的州。通过这些结果，我们有助于阐明载体底部谱系中正在进行的争议。
We compute the composition of the bottomonium $Υ(nS)$ states (including $Υ(10860)$) and the new $Υ(10753)$ resonance reported by Belle in terms of quarkonium and meson-meson components. We use a recently developed novel approach utilizing lattice QCD string breaking potentials for the study of resonances. This approach is based on the Born Oppenheimer approximation and the unitary emergent wave method and allows to compute the poles of the $\mbox{S}$ matrix. We focus on $I=0$ bottomonium $S$ wave bound states and resonances, where the Schrödinger equation is a set of coupled differential equations. One of the channels corresponds to a confined heavy quark-antiquark pair $\bar b b$, the others to pairs of heavy-light mesons. In a previous study only one meson-meson channel $\bar{B}^{(\ast)} B^{(\ast)}$ was considered. Now we also include the closed strangeness channel $\bar{B}_s^{(\ast)} B_s^{(\ast)}$ extending our formalism significantly to have a more realistic description of bottomonium. We confirm the new Belle resonance $Υ(10753)$ as a dynamical meson-meson resonance with around $85 \%$ meson-meson content. Moreover, we identify $Υ(4S)$ and $Υ(10860)$ as states with both sizable quarkonium and meson-meson contents. With these results we contribute to the clarification of ongoing controversies in the vector bottomonium spectrum.
