超核非介子弱衰变中N_{nn} / N_{np}的理论确定
A Theoretical Determination of N_{nn}/N_{np} in Hypernuclear Non--Mesonic Weak Decay
摘要：
在局域密度近似下，将核物质理论推广到^{12}_{Lambda}C，计算了Λ超核非介子弱衰变中发射的中子-中子对和中子-质子对的数量比N_{nn} / N_{np}.计算了单核子发射谱N_p和N_n。我们的形式主义照顾到基态相关性（gsc）和终态相互作用（FSI）。与Gamma_n/Gamma_p = Gamma（Lambda n -> nn）/Gamma（Lambda p -> np）不同，N_{nn} / N_{np}是非介子衰变中的实际可观测量，其评估在考虑FSI、gsc和基态归一化的适当处理的完全微观模型内进行。所有的同位旋通道有助于一个-和两个-核子诱导衰变包括在内。我们的符合数比的最终结果，N_{nn} / N_{np} =0.374，与KEK-E508数据一致，（N_{nn} / N_{np}）^{ \rm exp}=0.40 +/- 0.10。
英文摘要：
The ratio N_{nn}/N_{np} between the number of neutron-neutron and neutron--proton pairs emitted in the non--mesonic weak decay of Λ-hypernuclei is calculated within a nuclear matter formalism extended to ^{12}_{Lambda}C via the local density approximation. The single--nucleon emission spectra, N_p and N_n, are also evaluated. Our formalism takes care of both ground state correlations (gsc) and final state interactions (FSI). The evaluation of N_{nn}/N_{np} which, unlike Gamma_n/Gamma_p = Gamma(Lambda n -> nn)/Gamma(Lambda p -> np), is an actual observable quantity in non--mesonic decay is performed within a fully microscopic model where a proper treatment of FSI, gsc and ground state normalization is considered. All the isospin channels contributing to one-- and two--nucleon induced decays are included. Our final result for the coincidence number ratio, N_{nn}/N_{np}=0.374, is in agreement with the KEK--E508 datum, (N_{nn}/N_{np})^{\rm exp}=0.40 +/- 0.10.
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