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arXiv 2201.04840hep-ph
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奇异分子$B_{(s)}^{(*)} B_{(s)}^{(*)}$态的质量和宽度

Masses and widths of the exotic molecular $B_{(s)}^{(*)} B_{(s)}^{(*)}$ states

L. R. Dai, E. Oset, A. Feijoo, R. Molina, L. Roca, A. Martínez Torres, K. P. Khemchandani

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23 pages, 10 figures
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摘要：

本文从局域隐规范方法的推广出发，用矢量介子交换方法研究了双底系统$BB$，$B^* B$，$B_s B$，$B_s^* B$，$B^* B^*$，$B^* B_s$，$B^*B_s^*$，$B_s B_s$，$B_s B_s^*$，$B_s^* B_s^*$的相互作用.通过Bethe-Salpeter方程，在耦合通道中实现么正性，得到了完整的s波散射矩阵。我们发现在$I=0$中的吸引相互作用通道$B^* B$、$I=\frac{1}{2}$中的$B^*_s B-B^*B_s$、$I=0$中的$B^* B^*$和$I=\frac{1}{2}$中的$B^*_s B^*$的通道阈值以下的极点，所有这些都具有$J^P=1^+$。对于这些情况，宽度被评估为确定虚部的主要来源。我们发现结合能的数量级$10-20$ MeV，和宽度变化很大，从一个系统到另一个：的$B^* B$系统和$B^*_s B-B^*B_s$的10-100 eV的顺序，约$6$ MeV的$B^* B^*$系统和$0.5$ MeV的顺序的$B^*_s B^*$系统。

英文摘要：

We study the interaction of the doubly bottom systems $BB$, $B^* B$, $B_s B$, $B_s^* B$, $B^* B^*$, $B^* B_s$, $B^*B_s^*$, $B_s B_s$, $B_s B_s^*$, $B_s^* B_s^*$ by means of vector meson exchange with Lagrangians from an extension of the local hidden gauge approach. The full s-wave scattering matrix is obtained implementing unitarity in coupled channels by means of the Bethe-Salpeter equation. We find poles below the channel thresholds for the attractively interacting channels $B^* B$ in $I=0$, $B^*_s B-B^*B_s$ in $I=\frac{1}{2}$, $B^* B^*$ in $I=0$, and $B^*_s B^*$ in $I=\frac{1}{2}$, all of them with $J^P=1^+$. For these cases the widths are evaluated identifyng the dominant source of imaginary part. We find binding energies of the order of $10-20$ MeV, and the widths vary much from one system to the other: of the order of 10-100 eV for the $B^* B$ system and $B^*_s B-B^*B_s$, about $6$ MeV for the $B^* B^*$ system and of the order of $0.5$ MeV for the $B^*_s B^*$ system.

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