Study Of P Shell Λ Hypernuclei Using The Skyrme-Hartree-Fock Approach

Λ hyperon is free from the nuclear Pauli Principle.It can enter the center of hypernuclear system and form deeply bound hypernuclei states.Because of the interaction between hyperon and nucleon,the addition of Λ changes the structure of core nuclei,and the investigation of hypernuclei can provide the information about hyperon-nucleon and nucleon-nucleon interactions.Therefore the nuclear structure and hadronic many-body systems can be investigated by Λ hyperon as a probe.The properties of hypernuclei have been studied by using the deformed Skyrme-Hartree-Fock approach and obtained good results.In this thesis we apply the deformed Skyrme-Hartree-Fock approach to p shell hypernuclei.Due to the "impurity effect" of Λ hyperon,the density distribution of core nuclei becomes smaller and the shape is stretched.The beyond-mean-field Skyrme-Hartree-Fock approach is adopted to investigate the properties of 8Be and the corresponding single-and double-Λ hypernuclei Λ9Be,ΛΛ10Be.The Nucleon-nucleon(NN)interaction SLy4 and the nucleon-hyperon(NA)interaction Skyrme-type SLL4 are used.In order to study the effects of Λ in different orbitals,we calculated the potential energy surfaces and energy spectra of different configurations 8e(?)Λ[000]1/2+,8e(?)Λ[110]1/2-,8Be(?)Λ[101]3/2-and 8Be(?)Λ[101]1/2-.The calculated energy spectra of Λ9Be are given and compared with the observed results.The calculated results successfully reproduced the positive-parity spin-doublet states(3/2+,5/2+).The shrinkage effect of Λ occupying Λ[000]1/2+ orbit is investigated through the density distribution of nuclear matter.The electric quadrupole(E2)transition strength is given and compared with the experimental results and the results of the hypernuclear particle-rotor model,the calculated results using the beyond-mean-field Skyrme-Hartree-Fock approach are reasonable.And finally in order to show the completeness of beyond-mean-field Skyrme-Hartree-Fock approach the properties of ΛΛ10Be are studied,and the calculation of double Λ binding energies agrees well with the experimental results.