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arXiv 1809.07765hep-phhep-exnucl-th
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在接近阈值的$K^-p\to K^+K^-Λ$反应过程中$Ξ(1690)^-$的产生

$Ξ(1690)^-$ production in the $K^-p\to K^+K^-Λ$ reaction process near threshold

Jung Keun Ahn, Seung-il Nam

摘要:

我们调查$Ξ(1690)^-$生产的$K^-p\to K^+K^-Λ$反应内的有效拉格朗日方法在树级玻恩近似。我们考虑$s$ -和$u$ -通道$Σ/Λ$基态和共振的$Ξ$ -极的贡献,除了$s$ -通道$Λ$,$u$ -通道核子极,和$t$ -通道$K^-$ -交换的$ϕ$ -极的贡献。$Ξ$ -pole包括$Ξ(1320)$、$Ξ(1535)$、$Ξ(1690)(J^p=1/2^-)$和$Ξ(1820)(J^p=3/2^-)$。我们计算了$(d^2σ/dM_{K^+K^-}dM_{K^-Λ}$在4.2 GeV的Dalitz密度图($/c$)和$K^-p\to K^+K^-Λ$反应在阈附近的总截面。计算结果与实验数据吻合较好。利用拟合得到的参数,我们计算了两体$K^-p\to K^+Ξ(1690)^-$反应在阈值附近的总截面和微分截面。在我们的计算中,由于占主导地位的$u$通道的贡献,预测在后向$K^+$角度的强烈增强。我们还表明,Dalitz图分析$p_{K^-}=1.915 -- 2.065$ GeV/c使我们能够访问有关$Ξ(1690)^-$生产的直接信息,这可以通过未来的$K^-$束实验进行测试。对$Ξ(1690)^-$可能的自旋宇称态也作了简要的讨论。

英文摘要:

We investigate $Ξ(1690)^-$ production from the $K^-p\to K^+K^-Λ$ reaction within the effective Lagrangian approach at the tree-level Born approximation. We consider the $s$- and $u$-channel $Σ/Λ$ ground states and resonances for the $Ξ$-pole contributions, in addition to the $s$-channel $Λ$, $u$-channel nucleon pole, and $t$-channel $K^-$-exchange for the $ϕ$-pole contributions. The $Ξ$-pole includes $Ξ(1320)$, $Ξ(1535)$, $Ξ(1690)(J^p=1/2^-)$,and $Ξ(1820)(J^p=3/2^-)$. We calculate the Dalitz plot density of $(d^2σ/dM_{K^+K^-}dM_{K^-Λ}$ at 4.2 GeV$/c$) and the total cross sections for the $K^-p\to K^+K^-Λ$ reaction near the threshold. The calculation results are in good agreement with previously acquired experimental data. Using the parameters from the fit, we present the total and differential cross sections for the two-body $K^-p\to K^+Ξ(1690)^-$ reaction near the threshold. In our calculation, a strong enhancement at backward $K^+$ angles is predicted because of the dominant $u$-channel contribution. We also demonstrate that the Dalitz plot analysis for $p_{K^-}=1.915 -- 2.065$ GeV/c enables us to access direct information regarding $Ξ(1690)^-$ production, which can be tested by future $K^-$ beam experiments. The possible spin-parity states of $Ξ(1690)^-$ are briefly discussed as well.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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