New results on Mesonic Weak Decay of $p$-shell $Λ$-Hypernuclei

Abstract

The FINUDA experiment performed a systematic study of the charged mesonic weak decay channel of $p$-shell $Λ$-hypernuclei. Negatively charged pion spectra from mesonic decay were measured with magnetic analysis for the first time for ${^{7}_ΛLi}$, ${^{9}_ΛBe}$, ${^{11}_ΛB}$ and ${^{15}_ΛN}$. The shape of the $π^{-}$ spectra was interpreted through a comparison with pion distorted wave calculations that take into account the structure of both hypernucleus and daughter nucleus. Branching ratios $Γ_{π^{-}}/Γ_{tot}$ were derived from the measured spectra and converted to $π^{-}$ decay rates $Γ_{π^{-}}$ by means of known or extrapolated total decay widths $Γ_{tot}$ of $p$-shell $Λ$-hypernuclei. Based on these measurements, the spin-parity assignment $1/2^+$ for ${^{7}_ΛLi}$ and $5/2^+$ for ${^{11}_ΛB}$ ground-state are confirmed and a spin-parity $3/2^+$ for ${^{15}_ΛN}$ ground-state is assigned for the first time.