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We establish the bridge between the commonly usedNabetani-Ogaito-Sato-Kishimoto (NOSK) formula for the asymmetry parameter$a_\Lambda$ in the $\vec\Lambda p \to np$ emission of polarized hypernuclei,and the shell model (SM) formalism for finite hypernuclei. We demonstrate thatthe s-wave approximation leads to a SM formula for $a_\Lambda$ that is assimple as the NOSK one, and that reproduces the exact results for$^5_\Lambda$He and $^{12}_\Lambda$C better than initially expected. Thesimplicity achieved here is indeed remarkable. The new formalism makes thetheoretical evaluation of $a_\Lambda$ more transparent, and explains clearlywhy the one-meson exchange model is unable to account for the experimental dataof $^5_\Lambda$He.

s-Wave Approximation for Asymmetry in Nonmesonic Decay of Finite Hypernuclei