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A Multi-Channel Algebraic Scattering (MCAS) approach has been used to analyzethe spectra of two hyper-nuclear systems, Lambda-9Be and Lambda-13C. Thesplitting of the two odd-parity excited levels (1/2^- and 3/2^-) at 11 MeVexcitation in Lambda-13C is driven mainly by the weak Lambda-nucleus spin-orbitforce, but the splittings of the 3/2^+ and 5/2^+ levels in both Lambda-9Be andLambda-13C have a different origin. These cases appear to be dominated bycoupling to the collective 2+ states of the core nuclei. Using simplephenomenological potentials as input to the MCAS method, the observed splittingand level ordering in Lambda-9Be is reproduced with the addition of a weakspin-spin interaction acting between the hyperon and the spin of the excitedtarget. With no such spin-spin interaction, the level ordering in Lambda-9Be isinverted with respect to that currently observed. In both hyper-nuclei, ourcalculations suggest that there are additional low-lying resonant states in theLambda-nucleus continua.

Coupled-channel calculation of bound and resonant spectra of Lambda-9Be and Lambda-13C hypernuclei