Study of ΛΛ dynamics and ground state structure of low and medium mass double Λ hypernuclei

We critically review the dynamics by examining ΛΛ and Λ-nucleon phenomenological potentials in the study of the bound state properties of double-Λ hypernuclei 6ΛHe, 10ΛBe, 14ΛΛC, 18ΛΛO, 22 ΛΛNe, 26ΛΛMg, 30ΛΛSi, 34ΛΛS, 38ΛΛAr, 42ΛΛCa, 46ΛΛTi, 50ΛΛCr, 54ΛΛFe, 58ΛΛNi, 62ΛΛZn, 66ΛΛGe, 70ΛΛSe, 74ΛΛKr, 82ΛΛZr, 86ΛΛMo, 90ΛΛRu, 94ΛΛPd, 98ΛΛCd, 102ΛΛSn in the frame work of (core+Λ+Λ) three body model. An effective ΛN potential is obtained by folding the phenomenological ΛN potential into the density distribution of the core nuclei. The former two cases (i.e. 6ΛΛHe and 10ΛΛBe) are revisited to justify the correctness of the present potential model. Assuming the same potential model we predicted some of the structural properties of heavier doubly Λ-hypernuclei. The hyperspherical harmonics expansion method, which is an essentially exact method has been employed for the three body system. A convergence in binding energy up to 0.15% for Kmax = 20 has been achieved. In our calculation we have made no approximation in restricting the allowed l-values of the interacting pairs. (author)