Abstract :
Explicit expressions for the parity-violating s-wave and the parity-conserving p-wave contributions to π− weak decay rates of Λ hypernuclei in the 1p shell are given in the weak-coupling limit, to update previous shell-model calculations and to compare with recent π− spectra and total decay rates measured by the FINUDA Collaboration for View the MathML source, View the MathML source, View the MathML source and View the MathML source. A useful sum rule for the summed strength of Λ1s→p1p hypernuclear π− weak decays is derived. Fair agreement between experiment and calculations is reached, using the primary s-wave amplitude and Cohen–Kurath nuclear wavefunctions. The role of the p-wave amplitude is studied in detail for View the MathML source and found to be secondary. Previous assignments of ground-state spin-parity values View the MathML source and View the MathML source are confirmed, and a new assignment View the MathML source is made, based on the substantial suppression calculated here for the View the MathML source weak decay rate.
