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Tie (ii, r j C:hypernuclear specmm is nudled, using a simple interaction model with a square-well central part and a delta function spin-xbit C-nuclear mre interadion. Wtlh this simplified model the general features of lhe spectrum are explained. A mmparisan is made ktween the heoretical results and h e in-flight (K, rt) .%penmental data for L2C and i60. A shallow potential, wilh a central plential deplh of V. = ( -5 -i15) MeV and a spin-orbit depth of V., = 1 5 MeV, gives a salisfaclory representation of lhe CERN and BNL in-flight data. The C-hypernuclei are produced by the (I<-, T * ) interaction via the strangeness exchange reaction: 1i-+ A z -+ ; Z' + n using wrious techniques and kinematics. Details on the experimental and theoretical status of the C-hypernuclei can be found in the recent review articles [1-4]. taken from experiments performed at CERN [S-71, at BNL [%lo] and at KEK [ll-191. The experimental data are classified in three categories, depending on the (i) The target nucleus is bombarded by a kaon beam with pk = 713-720 MeV c -' ; this energy range implies a large momentum transfer of about q = 130-150 MeV c-l to the nuclear core. This technique was called in-flighf production. The first experiments at CERN have marked the discovery of the first C-hypernucleus :Be [SI. The experiments at BNL [SI lead to the discovery of the C-hypernuclei 5Li and k60. More recently, additional experiments at BNL !9: 101 have explored the gLi and L2C hypernuclei.(ii) The in-flight kinematic was used again, with a new kaon beamline with p , = 400450 MeV c-' at CERN. In this case, a small momentum transfer of about q = 5 0 4 5 MeV ccl enables the production of substitutional states. With this method the hypernuclei k2C [6] and i60 [7] were studied.(iii) At KEK the of rest method has been used [11][12][13][14][15][16][17][18][19]. The kaons, after being stopped in front of the target, rotate on atomic orbits, cascading on the nuclear The existing C-hypernuclei are: ;He, 6~ , 7fi , 9~ e, k2c, L6o. These data were kinematics Of !he ( K , T j Z pmd??c!ion.t Bitnel: CAB203 at GRTHEUNI.

An approach is proposed on the basis of which the experimentally known two lower energy eigenvalues of a Λ-particle, assumed to be bound in a hypernucleus by a central potential (from a fairly wide class of them), are able to provide in certain cases rather direct information on estimates of other useful quantities, such as the r.m.s. radii of the Λ orbitals, kinetic energies, etc.

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