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arXiv 2107.04742nucl-thhep-exhep-lathep-phnucl-ex
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首阶协变手征有效场论中超子-核子相互作用的检验

Test of the hyperon-nucleon interaction within leading order covariant chiral effective field theory

Jing Song, Zhi-Wei Liu, Kai-Wen Li, Li-Sheng Geng

备注：
11 pages, 7 figures, comparison with the latest J-PARC and CLAS data made, uncertainty estimates updated, to appear in Physical Review C
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摘要：

最近的实验测量的$Σ^{-}p$弹性散射的微分截面的$470$到$850$ MeV $/c$的动量范围内的J-PARC E $40$实验的启发，我们扩展我们以前的研究$S=-1$超子-核子相互作用相对较高的能量高达$900$ MeV $/c$的耦合通道$Λp\rightarrow(Λp, Σ^{+}n, Σ^{0}p)$，$Σ^{-}p\rightarrow(Λn, Σ^{0}n, Σ^{-}p)$和单通道$Σ^{+}p\rightarrowΣ^{+}p$反应。结果表明，虽然首阶协变手征有效场论只受低能数据的限制，但它能较好地描述高能数据，特别是J-PARC E40微分截面.在$Λp\to Λp$反应中预测的接近$ΣN$阈值的尖点结构与ALICE的最新观测以及次领先级重子手征有效理论的结果一致。另一方面，与最新的CLAS数据的$Λp$横截面之间的0.9和2.0 GeV的$/c$的比较清楚地表明，需要更高阶的手征势这样高的动量。最新的J-PARC数据对$Σp \rightarrow Λn$微分截面也是如此。然而，即使在这些情况下，预测与数据的定性一致，尽管有很大的不确定性，这意味着预测的总截面和微分截面与正在进行的和计划的实验相关。

英文摘要：

Motivated by the recent experimental measurements of differential cross sections of the $Σ^{-}p$ elastic scattering in the momentum range of $470$ to $850$ MeV$/c$ by the J-PARC E$40$ experiment, we extend our previous studies of $S=-1$ hyperon-nucleon interactions to relatively higher energies up to $900$ MeV$/c$ for both the coupled-channel $Λp\rightarrow(Λp, Σ^{+}n, Σ^{0}p)$, $Σ^{-}p\rightarrow(Λn, Σ^{0}n, Σ^{-}p)$ and single-channel $Σ^{+}p\rightarrowΣ^{+}p$ reactions. We show that although the leading order covariant chiral effective field theory is only constrained by the low energy data, it can describe the high energy data reasonably well, in particular, the J-PARC E40 differential cross sections. The predicted cusp structure close to the $ΣN$ threshold in the $Λp\to Λp$ reaction agrees with the latest ALICE observation as well as with the results of the next-to-leading order heavy baryon chiral effective theory. On the other hand, the comparison with the latest CLAS data on the $Λp$ cross sections between 0.9 and 2.0 GeV$/c$ clearly indicates the need of higher order chiral potentials for such high momenta. This is also the case for the latest J-PARC data on the $Σp \rightarrow Λn$ differential cross sections. Nevertheless, even for these cases, the predictions are in qualitative agreement with the data, albeit with large uncertainties, implying that the predicted total and differential cross sections are of relevance for ongoing and planned experiments.

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