Using as a tool the s-wave approximation (sWA), this work demonstrates that
the nonmesonic weak decay transition rates Γn and Γp can be
expressed in all hypernuclei up to Λ29Si (and very likely in
heavier ones too) in the same way as in the s-shell hypernuclei, i.e. as a
linear combination of only three elementary transition rates. This finding
leads to the analytic prediction that, independently of the transition
mechanism, all hypernuclei that are on the stability line (N = Z), i.e.
Λ5He, Λ7Li, Λ9Be, Λ11B,
Λ13C, Λ17O, Λ29Si, etc should roughly
have the same ratio Γn/Γp, the magnitude of which rapidly
increases when one approaches the neutron drip-line (N >> Z), and opposite
happens when one goes toward the proton drip-line (N << Z).Comment: 7 pages, 1 figur