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Low lying spectra of light hypernuclei are analyzed using data on hypernuclear γlines [1] in the framework of the shell model motivated in ref. [2] where in addition to the ΛN effective interaction with two-body parameters ∆, SΛ, Sn and T [3] the phenomenological zero-range three-body force V = δ(rΛ − r1)δrΛ − r2)(t + tsσΛ(σ1 + σ2)) has been introduced. Matrix elements (sΛsp|V |sΛsp), (sΛp|V |sΛp) were calculated with the oscillator wave functions for nucleons and with the Woods-Saxon potential wave functions for a Λ particle. The calculations show an extremely week t-dependence of energy splittings and for definiteness sake we take t=176 MeVfm6 [2]. Using the (3/2+,5/2+) doublet splitting (DS) in ΛBe and three levels (1 − 1 ,1 − 2 ,2 −) in 16 ΛO the values of ∆, Sn, T and ts have been found as functions of SΛ in the interval -0.015≤ SΛ ≤-0.006 (MeV). Spectra of ΛBe, 10 ΛB, 11 ΛB, 12 ΛC, 13 ΛC, 15 ΛN, 16 ΛO were calculated with the common values of Sn, T and ts using the total set of the 0h̄ω nuclear states. Small variations of ∆A were taken into account by the scaling factor αA (∆A = αA∆16) estimated for the Gaussian shape of the ΛN potential. The SΛ-dependence of the ground state DS in 12 ΛC and 11 ΛB derived with the NN forces CKB(I,II,III) (the Cohen-Kurath interaction corrected by Barker) [4] excludes the interactions CKB(I,III) whereas the variant CKB(II) reproduces the observed DS (161 keV and 264 keV )in the vicinity of SΛ '-0.007. As this takes place, the unobserved DS in 10 ΛB does not exceed 70keV. The acceptable parameters are ∆16=0.082, SΛ =-0.007, Sn=-0.33, T=0.023 (MeV) and ts=216.5 MeVfm6. In this model the calculated values ∆ and |SΛ| are considerable less than ones given in ref. [5]. The description of DS in ΛLi demands the higher value of ∆ that reflects an influence of the cluster structure of ΛLi [6].

Shell-Model Spectra of Light Hypernuclei with ΛN and ΛNN Forces: The Final Results Concerning Hyperon–Nucleon Interaction Parameters