论文标题
$ e^+e^ - $ e^ - $ $ nihihitation的k-matrix分析
K-matrix Analysis of $e^+e^-$ Annihilation in the Bottomonium Region
论文作者
论文摘要
我们对$ e^+e^ - \ b \ bar {b} $ cross部分进行了第一个全局和统一分析。我们分析$ b \ bar {b} $,$ b^*\ bar {b}(+c.c。)$,$ b^*\ bar {b}^*$,$ b_s^*\ bar {b} _s _s _s^*$,$ b}作为$ b \ bar {b} $生产的总包含横截面。确定了四个矢量状态的杆位和残留物,我们将其与$υ(4S)$,$υ(10750)$,$υ(5s)$(或$υ(10860)$)和$υ(6s)$(或$υ(或$υ(110020)$)相关联。我们发现Belle最近声称的新$υ(10750)$的有力证据,尽管参数并未受到数据的限制。此处介绍的结果对使用Breit-Wigner参数化或横截面比率较早报道的分支比率的有效性提出了怀疑。我们还将结果与矢量底部光谱的理论计算进行了比较。
We perform the first global and unitary analysis of $e^+e^-\to b\bar{b}$ cross sections. We analyze exclusive cross sections in the $B\bar{B}$, $B^* \bar{B}(+c.c.)$, $B^*\bar{B}^*$, $B_s^*\bar{B}_s^*$, $Υ(nS)π^+π^-$ and $h_b(nP)π^+π^-$ channels as well as the total inclusive cross section for $b\bar{b}$ production. Pole positions and residues are determined for four vector states, which we associate with the $Υ(4S)$, $Υ(10750)$, $Υ(5S)$ (or $Υ(10860)$), and $Υ(6S)$ (or $Υ(11020)$). We find strong evidence for the new $Υ(10750)$ recently claimed by Belle, although with parameters not well constrained by the data. Results presented here cast doubt on the validity of branching ratios reported earlier using Breit-Wigner parameterizations or ratios of cross sections. We also compare our results with a selection of theoretical calculations for the vector bottomonium spectrum.