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arXiv 0707.4483nucl-th
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RPA体系中$Λ$超核非介子弱衰变的量子干涉项

Quantum interference terms in nonmesonic weak decay of $Λ$-hypernuclei within a RPA formalism

E. Bauer

摘要:

本文用微观方法计算和讨论了$Λ$超核弱衰变中的单、双符合核子谱。采用核物质和局域密度近似,分析了$^{12}_ΛC$超核非介子弱衰变。末态相互作用(FSI)包括通过一阶(在核剩余相互作用)项的RPA,其中强剩余相互作用是由波恩潜力建模。在这种近似水平下,这些FSI是初级衰变$(ΛN \to NN)$和$(ΛN \to NN \to NN)$之间的纯量子干涉项,其中强相互作用负责第二反应中的最后一部分。此外,泡利交换的贡献明确评估。我们表明,包括泡利交换条款是很重要的。与数据进行了比较。我们的结论是,在RPA的相空间的限制,使这种近似不足以再现核子光谱。这一事实不允许我们对干涉项的重要性得出明确的结论。

英文摘要:

Single and double coincidence nucleon spectra in the $Λ$-hypernuclei weak decay are evaluated and discussed using a microscopic formalism. Nuclear matter is employed together with the local density approximation which allows us to analyze the $^{12}_ΛC$ hypernucleus non-mesonic weak decay. Final state interactions (FSI) are included via the first order (in the nuclear residual interaction) terms to the RPA, where the strong residual interaction is modelled by a Bonn potential. At this level of approximation, these FSI are pure quantum interference terms between the primary decay $(ΛN \to NN)$ and $(ΛN \to NN \to NN)$, where the strong interaction is responsible for the last piece in the second reaction. Also the Pauli exchange contributions are explicitly evaluated. We show that the inclusion of Pauli exchange terms is important. A comparison with data is made. We conclude that the limitations in phase space in the RPA makes this approximation inadequate to reproduce the nucleon spectra. This fact, does not allow us to draw a definite conclusion about the importance of the interference terms.

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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