The nonmesonic weak decay of $\Lambda$ hypernuclei is studied using nuclear matter. We have developed a formalism which gives a microscopic interpretation of the process of emission of particles originated in this decay. More specifically, our scheme provides a unified treatment of $\Gamma(\Lambda N \to NN$) and $N_{N}$ ($N_{NN}$), the $\Lambda$ non-mesonic weak decay widths and the number of emitted particles (pair of particles) of kind $N$ ($NN$), respectively. We have also evaluated for the first time the quantum interference terms between the $n$- and $p$-induced weak decay amplitudes. Explicit expressions for $N_{N}$ and $N_{NN}$ are shown within the ring approximation. Using the local density approximation together with the ring approximation, 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 threshold have been employed. The $n$- and $p$-induced interference terms modify in less than $\sim 3 %$ 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 \ to NN $)和$ N_ {N} $($ N_ {NN} $),$ \ Lambda $非中子弱衰减宽度和$ N $($ NN $)类型的发射粒子(粒子对)的数量。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。 $ N_ {N} $和$ N_ {NN} $的显式表达式显示在环近似中。使用局部密度近似和环近似,我们报告了$ ^ {12} _ {\ Lambda} C $超核衰变的结果。我们获得的比率$ N_ {n} / N_ {p} $($ N_ {nn} / N_ {np} $)的值在$ 1.4-1.6 $($ 0.2-0.3 $)范围内,其中没有能量阈值被雇用。由$ 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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