核物质体系下$^{12}_ΛC$超核非介子弱衰变的基态归一化
Ground state normalization in the nonmesonic weak decay of $^{12}_ΛC$ hypernucleus within a nuclear matter formalism
摘要：
在核物质理论框架内，利用局域密度近似，计算了$^{12}_ΛC$超核的非介子弱衰变宽度。除了单体诱导衰变$(ΛN \to n N)$之外，还考虑了二体诱导衰变$(ΛNN \to n N N)$。这第二次衰变起源于基态的相关性，其中的重整化过程，以确保一个基态归一化为一已实施。我们的结果表明，两体诱导衰变的简单增加意味着基态范数的损失，这增加了$\sim 38%$的虚假强度的非介子弱衰变宽度。通过适当地选择$ΛN$跃迁势，我们得到了$^{12}_ΛC$的非介子弱衰变宽度为0.956，与最新的实验数据符合得很好.
英文摘要：
The nonmesonic weak decay width of $^{12}_ΛC$ hypernucleus has been evaluated within a nuclear matter formalism, using the local density approximation. In addition to the one-body induced decay $(ΛN \to n N)$, it has been also considered the two-body induced decay $(ΛNN \to n N N)$. This second decay is originated from ground state correlations, where a renormalization procedure to ensure a ground state normalized to one has been implemented. Our results show that the plain addition of the two-body induced decay implies a lost in the ground state-norm, which adds $\sim 38%$ of spurious intensity to the nonmesonic weak decay width. By an adequate selection of the $ΛN$-transition potential, our result for the nonmesonic weak decay width of $^{12}_ΛC$ is 0.956, in good agreement with the most recent data.
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