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arXiv 2012.11381hep-phhep-exhep-latnucl-exnucl-th
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核物质的\boldmath{$Υ$}和\boldmath{$η_b$}质量移动

\boldmath{$Υ$} and \boldmath{$η_b$} mass shifts in nuclear matter

G. N. Zeminiani, J. J. Cobos-Martinez, K. Tsushima

摘要:

我们估计了对称核物质中$Υ$、$η_b$和$B^*$介子的质量位移。有趣的是,底鎓-(核物质)和粲鎓-(核物质)相互作用的强度是相似的还是不同的。这是因为,每个($J/Ψ,Υ$)和($η_c,η_b$)介子群通常被假设为具有非常相似的性质,基于重粲和底夸克质量。通过研究$BB$、$BB^*$和$B^*B^*$介子环对自能的贡献,利用SU(5)有效拉格朗日量和反常耦合量对$Υ$进行了估计.对于$η_b$,我们在自能中考虑了$BB^*$和$B^*B^*$介子环的贡献。用夸克-介子耦合模型计算了$B$和$B^*$介子在自能中的介质质量。通过与对应于$J/Ψ$质量位移的$DD, DD^*$和$D^*D^*$介子环的比较,分析了$Υ$质量位移中的$BB$、$BB^*$和$B^*B^*$介子环.我们对$η_b$质量移动的预测只包括最低阶$BB^*$介子环。在核物质饱和密度下,利用矢量介子占优模型确定的$ΥBB$耦合常数和实验数据,预测了仅包括$BB$环的$Υ$质量位移为-16 ~-22 MeV,而利用由$ΥBB$耦合常数确定的SU(5)普适耦合常数,预测了$η_b$质量位移为-75 ~-82 MeV.我们的结果表明,bottomonium-(核物质)和charmonium-(核物质)之间的相互作用强度的明显差异。我们还研究了重夸克(重介子)对称极限下的$Υ$和$η_b$质量移动。

英文摘要:

We estimate the $Υ$, $η_b$ and $B^*$ meson mass shifts in symmetric nuclear matter. The interest is, whether the strengths of the bottomonium-(nuclear matter) and charmonium-(nuclear matter) interactions are similar or different. This is because, each ($J/Ψ,Υ$) and ($η_c,η_b$) meson group is usually assumed to have very similar properties based on the heavy charm and bottom quark masses. The estimate for the $Υ$ is made using an SU(5) effective Lagrangian and the anomalous coupling one, by studying the $BB$, $BB^*$, and $B^*B^*$ meson loop contributions for the self-energy. As for the $η_b$, we include the $BB^*$ and $B^*B^*$ meson loop contributions in the self-energy. The in-medium masses of the $B$ and $B^*$ mesons appearing in the self-energy are calculated by the quark-meson coupling model. An analysis on the $BB$, $BB^*$, and $B^*B^*$ meson loops in the $Υ$ mass shift is made by comparing with the corresponding $DD, DD^*$, and $D^*D^*$ meson loops for the $J/Ψ$ mass shift. Our prediction for the $η_b$ mass shift is made including only the lowest order $BB^*$ meson loop. The $Υ$ mass shift, with including only the $BB$ loop, is predicted to be -16 to -22 MeV at the nuclear matter saturation density using the $ΥBB$ coupling constant determined by the vector meson dominance model with the experimental data, while the $η_b$ mass shift is predicted to be -75 to -82 MeV with the SU(5) universal coupling constant determined by the $ΥBB$ coupling constant. Our results show an appreciable difference between the bottomonium-(nuclear matter) and charmonium-(nuclear matter) interaction strengths. We also study the $Υ$ and $η_b$ mass shifts in a heavy quark (heavy meson) symmetry limit.

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