Nonmesonic weak decays of the A = 4, and 5 hypernuclei are studied. The short range parts of the hyperon-nucleon weak interactions are described by the direct quark (DQ) weak transition potential, while the longer range interactions are given by the π and K meson exchange processes. Virtual Σ mixings of the coherent type are found to give significant effects on the decay rates of 4 Λ He. A large violation of the ∆I = 1/2 rule is predicted in the J = 0 transition amplitudes. many-body dynamics and nonperturbative QCD effects on hadronic weak interaction are important.Nonmesonic weak decay of hypernucleus is unique as a new type of weak interaction process, which involves only baryons. In weak decays of heavy hypernuclei, pion emissions via Λ → pπ − , nπ 0 are hindered due to the Pauli blocking on the final state nucleon. Instead, the decay is mainly induced by a two-body transition, ΛN → NN, and does not emit pions. This nonmesonic weak baryon-baryon interaction is analogous to the parity violating part of the nuclear force |∆S| = 1 sector.The mechanism of nonmesonic decay of hypernuclei is a long standing problem due to some disagreements between theory and experiment. One of them is the Γ nn /Γ pn ratio, i.e., the ratio of Γ nn = Γ(Λn → nn) and Γ pn = Γ(Λp → pn) transitions. Another, to the validity of ∆I = 1/2 rule. Many studies have been done. The one-pion-exchange (OPE) is the simplest to describe the ΛN → NN transition. It has a similar structure as the OPE in nuclear force and in both of them the tensor transition is strong. As it enhances Γ pn , the Γ nn /Γ pn ratio is suppressed. Typical prediction for OPE is Γ nn /Γ pn ∼ 0.1, while most experimental data indicate Γ nn /Γ pn ∼ 1 or larger [1].In the nonmesonic decay, the Λ-N mass difference is reflected in a high momentum transfer between the baryons, and therefore, short range interaction effects must be important. The lifetime measurements of heavy hypernuclei show saturation at large A and therefore suggest importance of short range interactions [2].An attempt was made in refs. [3,4,5] by considering the effect of the polarization of the pion propagator, which seems to enhance Γ nn /Γ pn slightly. The ρ meson contribution was calculated in refs. [6,7], but it could not reproduce the experimental data. The two-pion exchange and the effective σ meson exchanges [8,9,10] may play an important role because it increases the central attraction which enhances the Γ nn /Γ pn ratio through the enhancement of the J = 0 channels. The pseudoscalar and vector mesons (π, K, η, ρ, ω, and K * ) are considered in [11,12]. The contribution of each meson comes out large, especially for kaon exchange, and significant cancellations between the different contributions are found [13]. The final result is 4-6 times larger than the OPE one [14].Apart from the meson exchange model, several authors pointed out the importance of quark degrees of freedom in baryons [15,16,17,18,19]. Recently we proposed to treat the short range part using the valence quark picture of the baryon and...