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arXiv 1609.03399nucl-thhep-ph
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从低能$\boldsymbol{pd \to η^3{\rm He}}$反应确定$\boldsymbol{η^3{\rm He}}$的阈值结构

Determination of the $\boldsymbol{η^3{\rm He}}$ threshold structure from the low energy $\boldsymbol{pd \to η^3{\rm He}}$ reaction

Ju-Jun Xie, Wei-Hong Liang, Eulogio Oset, Pawel Moskal, Magdalena Skurzok, Colin Wilkin

备注：
7 pages, 9 figures. Title slightly changed, more considerations added
发表信息：
Phys. Rev. C 95, 015202 (2017)
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摘要：

我们分析了$pd (dp) \to η^3{\rm He}$反应接近阈值的截面和不对称性数据，并寻找$η^3 {\rm He}$系统的束缚态。而不是参数化的散射矩阵，通常这样做，我们开发了一个框架，其中的$η^3 {\rm He}$光学潜力是关键成分，其强度，连同一些生产参数，适合现有的实验数据。散射矩阵的光学势的关系是建立使用Bethe-Salpeter方程和$η^3 {\rm He}$循环函数纳入的相互作用的范围内给出的经验$^3 {\rm He}$密度。我们发现一个本地Breit维格纳形式的$η^3$他幅度$T$低于阈值与一个明确的峰值在$|T|^2$，这对应于一个$η^3 {\rm He}$绑定约0.3 MeV和约3 MeV的宽度。通过拟合势，我们还可以评估$η^3 {\rm He}$散射长度，包括其符号，从而解决了以前分析中的模糊性。

英文摘要：

We analyze the data on cross sections and asymmetries for the $pd (dp) \to η^3{\rm He}$ reaction close to threshold and look for bound states of the $η^3 {\rm He}$ system. Rather than parameterizing the scattering matrix, as is usually done, we develop a framework in which the $η^3 {\rm He}$ optical potential is the key ingredient, and its strength, together with some production parameters, are fitted to the available experimental data. The relationship of the scattering matrix to the optical potential is established using the Bethe-Salpeter equation and the $η^3 {\rm He}$ loop function incorporates the range of the interaction given by the empirical $^3 {\rm He}$ density. We find a local Breit Wigner form of the $η^3$He amplitude $T$ below threshold with a clear peak in $|T|^2$, which corresponds to an $η^3 {\rm He}$ binding of about 0.3 MeV and a width of about 3 MeV. By fitting the potential we can also evaluate the $η^3 {\rm He}$ scattering length, including its sign, thus resolving the ambiguity in the former analyses.

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