The nonmesonic weak decay of $\Lambda$ hypernuclei is studied using nuclearmatter. We have developed a formalism which gives a microscopic interpretationof the process of emission of particles originated in this decay. Morespecifically, our scheme provides a unified treatment of $\Gamma(\Lambda N \toNN$) and $N_{N}$ ($N_{NN}$), the $\Lambda$ non-mesonic weak decay widths andthe number of emitted particles (pair of particles) of kind $N$ ($NN$),respectively. We have also evaluated for the first time the quantuminterference terms between the $n$- and $p$-induced weak decay amplitudes.Explicit expressions for $N_{N}$ and $N_{NN}$ are shown within the ringapproximation. Using the local density approximation together with the ringapproximation, we report results for the decay of the $^{12}_{\Lambda}C$hypernucleus. We have obtained values for the ratio $N_{n}/N_{p}$($N_{nn}/N_{np}$) in the range $1.4-1.6$ ($0.2-0.3$), where no energy thresholdhave been employed. The $n$- and $p$-induced interference terms modify in lessthan $\sim 3 %$ these results.
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机译：使用核物质研究了$ \ Lambda $超核的非中子弱衰变。我们已经开发出一种形式主义，可以从微观上解释源自这种衰变的粒子发射过程。更具体地说，我们的方案对$ \ Gamma（\ Lambda N \ toNN $）和$ N_ {N} $（$ N_ {NN} $），$ \ Lambda $非中子弱衰变宽度以及分别发出$ N $（$ NN $）类的粒子（一对粒子）。我们还首次评估了由$ n $和$ p $引起的弱衰减幅度之间的量子干扰项。在环近似中显示了$ N_ {N} $和$ N_ {NN} $的显式。使用局部密度近似和环近似，我们报告了$ ^ {12} _ {\ Lambda} C $超核的衰减结果。我们获得的比率$ N_ {n} / N_ {p} $（$ N_ {nn} / N_ {np} $）的值在$ 1.4-1.6 $（$ 0.2-0.3 $）范围内，其中没有能量阈值受雇。 $ n $和$ p $引起的干扰项对这些结果的修改少于$ \ sim 3％$。
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