Investigation of ¤¤ Dynamics and Effective ¤n Interaction in Low and Medium Mass Hypernuclei (original) (raw)

We critically review the ¤¤ dynamics by examining LL and L-nucleon phe- nomenological potentials in the study of the bound state properties of double-L hypernuclei LL 6He, LL 10Be, LL 14C, LL 18O, LL 22Ne, LL 26Mg, 30 ¤¤Si, 34 ¤¤S, 38 ¤¤Ar, 42 ¤¤Ca, 92 ¤¤Zr and 142 ¤¤ Ce, 210 ¤¤Pb in the framework of (core+¤+¤) three-body model. An e®ective ¤N potential is obtained by folding the phenomenological ¤N potential into the density distribution of core nuclei. The former two cases (i.e. 6 ¤¤He and 10 ¤¤Be) are revisited to justify the correctness of the present potential model. Assuming the same po- tential model, we predicted some of the structural properties of heavier double-¤ hypernuclei. The hyperspherical harmonics expansion method, which is an essen- tially exact method, has been employed for the three-body system. A convergence in binding energy up to 0:25% for Kmax = 20 has been achieved. In our calculation we have made no approximation in restricting the allowed l-values of the ...