Study Of The Ground State Structure Of The Four Hypernuclei _∧∧～6 He,_∧～9 Be,_∧∧～(10) Be And _∧～(13) C

Study of the ground state structure of the four Hypernuclei AbstractIn past fifty years, various hypernucleus have been researched with the shell model and the a cluster model. Most of researches were focused on the ground binding energies foe A=5-17 with the same potential in the shell model, that some of the computation were consistent with their experimental values, others below the lower limit of them and others beyond the higher limit. The same result was obtainedin the a cluster model. Especially, the overbinding of He and the disagreement of interaction of He and Be appears in the calculation, which in thevariational calculation for He and e.the theoretical result for Be presents overbinding problem with the AA potential of single Gassian shape which gives a very good fit to the experimental , while that of He is lower than the experimental value with the AA potential fitting the experimental Moreover the introduction of the three-body ANN potential doesn't reduce the inconsistency of the interaction.In this paper the ground state structure of the four-hypemucluei ^ He > 'Be*Be and A C are studied by applying A5/fe structure model and few-body theorymethod and compared with the results of the shell model and the a cluster model from the ground binding energy and r.m.s distances. The AA interaction which we take is in good agreement with the experimental ground binding energy oft He.The A.a potentials reproducing the experimental value of BA(A/fe) areobtained by folding the density distribution of the a particle and AJV local potentials which give a very good fit to the A-proton scattering data. The parameters of aa potential are obtained by fitting the a - a scattering data and theresonant ground-state energies of Be. The interaction among A, A5/feanda clusters is obtained by folding integral. We use these potentials to calculate the ground binding energies of He,Be,Be (two-body), (three-body),C, which is 10.87MeV,4.62MeV,15.8A/eF,17.75MeV and 11.62 Me V respectively. Li this way, the disagreement of the results of He and Be eliminates. Except for Be and Be (two-body),the r.m.s distancesbetween two clusters and the ground binding energy show that the He structure model used is reasonable to some extent. The further exploration is necessary.