Final State Interaction on non Mesonic Hyperon Weak Decay Spectra of Λ12C

In the present work, we study the one nucleon induced non mesonic hyperon weak decay (NMWD)(ΛΝ → ηΝ) on the Λ12C hypernuclei with corresponding transition rates given by Γρ ≡ Γ (Λρ → ηρ) and Γη ≡ Γ (Λη → ηη) respectively. The whole nuclear process is described by using a connection of two models, one to describe the primary non mesonic weak decay in the nuclear environment and another one to follows the time evolution of the outgoing of nucleons from nuclear system, to consider the Final State Interaction (FSI). The Independent-Particle Shell-Model (IPSM) is used to depict the dynamic of the primary decay by mean of the exchange of π and + Κ mesons with usual parameterization. A time dependent multicolisional intranuclear cascade approach implemented on the CRISP (Collaboration Rio-Sao Paulo) code incorporates the FSI to the Γη/Γρ ratio calculation and the behaviour of these value with the coulomb barrier as well as to the observable nucleon kinetic energy spectra and also to angular correlation determinations. Recent KEK and FINUDA experiments on one- and two-nucleon non mesonic weak decay (NMWD) spectra in Λ12C hypernuclei are analyzed theoretically and the effect of FSI is determined within our model scenery. (Author)