Decays of Λ in nuclei, nonmesonic mode, are studied by using the ΛN → NN weak transition potential derived from the meson exchange mechanism and the direct quark mechanism. The decay rates are calculated both for the Λ in symmetric nuclear matter and light hypernuclei. We consider the exchange of six mesons (π,K, η, ρ, ω,K). The form factor in the meson exchange mechanism and short range correl...

We consider two hypothesis testing problems with N independent observations on a single m-vector, when m > N , and the N observations on the random m-vector are independently and identically distributed as multivariate normal with mean vector μ and covariance matrix Σ, both unknown. In the first problem, the m-vector is partitioned into two subvectors of dimensions m1 and m2, respectively, and ...