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Bound state properties of few single and double-$\Lambda$ hypernuclei iscritically examined in the framework of core-$\Lambda$ andcore+$\Lambda+\Lambda$ few-body model applying hyperspherical harmonicsexpansion method (HHEM). The $\Lambda\Lambda$ potential is chosenphenomenologically while the core-$\Lambda$ potential is obtained by folding aphenomenological $\Lambda N$ interaction into the density distribution of thecore. The depth of the effective $\Lambda N$ potential is adjusted to reproducethe experimental data for the core-$\Lambda$ subsystem. The three-bodySchr\"odinger equation is solved by hyperspherical adiabatic approximation(HAA) to get the ground state energy and wave function. The ground statewavefunction is used to construct the supersymmetric partner potentialfollowing prescription of supersymmetric quantum mechanics (SSQM) algebra. Thenewly constructed supersymmetric partner potential is used to solve thethree-body Schr\"odinger equation to get the energy and wavefunction for thefirst excited state of the original potential. The method is repeated topredict energy and wavefunction of the next higher excited states. The possiblenumber of bound states is found to increase with the increase in mass of thecore of the hypernuclei. The Root Mean Squared (RMS) matter radius and someother relevant geometrical observables are also predicted.

Application of supersymmetric quantum mechanics to study bound state properties of exotic hypernuclei