非介子超核衰变对符合数和非对称性参数的估算
Evaluation of coincidence number of pairs and asymmetry parameter in nonmesonic hypernuclear decay
摘要：
我们发展了一个理论框架，用于评估非介子超核衰变$ΛN\rightarrow nN$中的对符合数$N_{nN}$和不对称参数$a_Λ$。用独立的粒子壳模型描述了原初规范子弱超子-核子衰变过程。当考虑到两个核子离开剩余核的强相互作用的影响时，除了$2p1h$初级组态$2p'1h'$、$3p2h$、$4p3h$、$\cdots$等次级组态外，我们还得到了其它的次级组态。我们的工作范围内的$2p'1h'$子空间的最终状态，假设一个简单的方法，有限核的程函近似的基础上。引入了一个包含核子-核等势和等矢量相互作用的光学势来考虑最小核介质效应和描述核子-核色散过程，并将其应用于$^{5}_ΛHe$和$^{12}_ΛC$非介子衰变的观测值计算.计算结果表明，我们的治疗FSI甚至被认为是限制在一个子空间的状态给出了一个很好的协议与实验数据，类似的更详细的评估。这表明，开发的理论方案似乎是适当的，包括更复杂的配置。我们还讨论了考虑双核子诱导衰变（$ΛNN \rightarrow nNN$）贡献时的基态归一化效应。
英文摘要：
We develop a theoretical framework for the evaluation of the coincidence number of pairs, $N_{nN}$, and the asymmetry parameter, $a_Λ$, in nonmesonic hypernuclear decay $ΛN\rightarrow nN$. The primary nomesonic weak hyperon-nucleon decay process is described through the independent particle shell model. When the effect of the strong interactions experimented by the two nucleons leaving the residual nucleus is included, we have in addition to the $2p1h$ primary configuration $2p'1h'$, $3p2h$, $4p3h$, $\cdots$, etc secondary ones. We work within the $2p'1h'$ subspace of final states assuming a simple approach for finite nuclei based on the eikonal approximation. An optical potential including the nucleon-nucleus isoscalar and isovector interaction is introduced to take into account the minimum nuclear medium effects and to describe the nucleon-nucleus dispersion process along the outgoing path. We applied the proposed description to the calculation of the observables in $^{5}_ΛHe$ and $^{12}_ΛC$ nonmesonic decays. The calculated results show that our treatment of FSI even considered as restricted to a subspace of states gives a good agreement with experimental data, similar to that ones presented by more elaborated evaluations. This indicates that the developed theoretical scheme seems to be appropriated to include more complex configurations. We also discuss the ground state normalization effects at the moment of including the two-nucleon induced decay ($ΛNN \rightarrow nNN$) contribution.
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