论文标题
美元
$K^- d\rightarrow πΛN$ reaction for studying charge symmetry breaking in the $ΛN$ interaction
论文作者
论文摘要
我们讨论$λn$相互作用中的电荷对称性破坏。为了调查低能的$λp$和$λn$互动，我们建议利用$ k^-d \ toπ^-λp$和$ k^-d \toπ^0λn$反应。在最终状态下，它们在Pion和核子等异种伙伴的交换下是对称的。这个优势使我们能够在$λn$相互作用中研究电荷对称性破坏。我们通过理论上的停止kaons计算这些反应的差分横截面，并讨论提取$λn$散射的散射长度和有效范围的可能性。借助停止的kaons，$λn$的交互作用主要发生在旋转状态下，这要归功于Deuteron旋转和低能散射幅度的$ s $波浪占优势。我们发现，差分横截面与两种反应之间$λn$不变质量的函数的比率有助于揭示电荷对称性的破坏或isospin对称性破裂是如何出现在低能量的$λn$散射中的。
We discuss charge symmetry breaking in the $ΛN$ interaction. In order to investigate the $Λp$ and $Λn$ interactions at low energies, we propose to utilize the $K^-d\to π^-Λp$ and $K^-d\to π^0Λn$ reactions. They are symmetric under the exchange of both the pion and nucleon isospin partners in the final states. This advantage allows us to study charge symmetry breaking in the $ΛN$ interaction. We calculate the differential cross sections of these reactions with stopped kaons theoretically and discuss the possibility to extract the scattering length and effective range of the $ΛN$ scattering. With stopped kaons, the $ΛN$ interaction takes place dominantly in the spin-triplet state thanks to the deuteron spin and $s$-wave dominance of the scattering amplitudes at the low energy. We find that the ratio of the differential cross sections as a function of the $ΛN$ invariant mass between the two reactions is useful for revealing how charge symmetry breaking, or isospin symmetry breaking appears in the low-energy $ΛN$ scattering.
