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In this work, we have explored ground state properties of 10 Λ Λ Be hypernucleus in the light of recent observation of the experiment J-PARC E07 and the onset of stability for 10 Λ Ξ Be hypernucleus in the three-body framework using Hyperspherical Harmonics Expansion (HHE) method. An effective core-Y (Y= Λ, Ξ) Woods-Saxon potential with adjustable depth parameter is used to reproduce the observed ground state energy of the two-body subsystem by solving the two-body Schrödinger equation. The core-Y potential so obtained is clubbed with the YY potential model of the Nijmegen group to obtain the observables of the double-hyperon hypernuclei. Computed YY separation energy and YY bond energy are compared with the data available in the literature.

In this paper, the energy, and wavefunctions of the low-lying bound and resonance states of [Formula: see text]Ca and [Formula: see text]Ca are studied. For [Formula: see text]Ca we adopted [Formula: see text]Ca two-body cluster model while for [Formula: see text]Ca we adopted [Formula: see text]Ca three-body cluster model. Two models of potentials, namely SH: Hulthén type and WS: Woods–Saxon type potentials, each having a spin-orbit coupling term is chosen for the [Formula: see text]-nucleus pair while three-range Gaussian (TRG) Nijmegen hardcore and softcore potential models are chosen for [Formula: see text] pair. The resulting few-body (two- and three-body) Schrödinger equations are solved numerically to get the bound state energies and wavefunctions. For the three-body calculation, we used hyperspherical coordinates. The formalism of supersymmetric quantum mechanics is applied to construct a one-parameter family of isospectral potential to investigate the resonance states of the [Formula: see text]Ca ([Formula: see text]Ca) core-[Formula: see text] two-body system. To study the effect of replacement of the outer core valence nucleon(s) of [Formula: see text]Ca by [Formula: see text] hyperon(s), two- and three-body cluster model calculations for the bound states of [Formula: see text]Ca and [Formula: see text]Ca are also carried out using the same set of two-body potentials, as used for [Formula: see text]Ca and [Formula: see text]Ca respectively. And a clear enhancement in the one- and two-[Formula: see text] separation energies and a shrinking of the overall size of the nucleus is indicated. The computed results are compared with some of those found in the literature.

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In this work, Hyperspherical Harmonic Expansion (HHE) formalism aided by supersymmetric quantum mechanics is used to study bound and resonant states of 14Be in the three-body (12Be+ n + n) cluster model, and the analysis of the resonant states close to the binding threshold utilizes supersymmetric quantum mechanics (SSQM). GPT nucleon-nucleon potential together with SBB core-nucleon potential is chosen for the solution of three-body Schrödinger equation to get the lowest bound state energy and wave function. In the next stage, energy and wave function of the bound state is used to derive an isospectral potential that exhibit deep well following a strong barrier facilitating confinement (or trapping) of particle inside it at some positive energy (E>0). The trapping probability when plotted against energy shows a prominent peak at the energy of resonance. WKB approximation is used to determine the width of resonance width. Calculated resonance energy and width of resonance are compared with those measured experimentally for the promising neutron halo candidate, the 14Be.