Study Of K~- Nuclei And (?)~- Hypernuclei In Skyrme-Hartree-Fock Approach

Nuclear physics with strangeness has developed into one of the frontier fields.In the last decade,the study of hypernuclei has quickly advanced in both experimental and thereotical aspects.Several ? and (?)-hypernuclei are discovered in the laboratory Mean field model,shell model and other theories have studied these hypernuclei,and their calculations are in accordance with experimental results to some extent.Mean-while,advancements are also made in the study of K-nuclei.The bound "K-pp"structure was observed experimentally.It is expected that we may explore the YN and YY interactions by studying nuclei with strangenessThe strangeness of (?)-hypernuclei is S=-2.Experimentally,the first clear evi-dence of a bound (?)-hypernuclei 15(?)C was observed by the KEK E373 Collaboration in 2015,and this "kiso" event provided useful information on thereotical calculation of (?)-hypernuclei.Thereotical models,including Skyrme-Hartree-Fock(SHF)mean field approach,are used to predict more deeply bound (?)-hypernuclei.Compared to(?)-hypernuclei,deeply bound K-nuclei has not been confirmed its existence,but the structure of K-pp state was found and investigated by researchers.However,the pos-sibility of a deeply bound K-nuclei has been a controversy recently.Predictions of deeply bound K-nuclei are made by theoretical models,which try to calculate kaon optical potential depth and removal energy.In this thesis,we study the structure and properties of K-nuclei and (?)-hypernuclei in the extended SHF mean field approach The followings are the main contents:1.We extend the deformed SHF mean field(DSHF)model to the study of (?)-hypernuclei.By using three different KN Skyrme forces,we investigate the kaon potential,removal energy,density distributions and other properties for three spherical K nuclei 16KO,42KCa,208KPb.Studies show that a too strong KN interaction will bring the instability of the solutions.2.Within the framework of the expanded DSHF model,we study three K-nuclei with deformed cores,8KBe,20KNe,36KAr,especially on the change of the deformation properties caused by the added kaon.When the KN interaction is too strong,we find a shrinking of the core and in some light nuclei a complete loss of deformation.3.We extend the deformed SHF model to the study of (?)-hypernuclei.Three dif-ferent (?)N Skyrme forces are used to investigate several properties of (?)-hypernuclei,including core deformation radii,density distributions,etc.We find that when we use SLXO or SLX2,core radii of (?)-hypernuclei are reduced,whereas central nucleon density are increased.On the contrary,when the SLX3 Skyrme force are used,core radii are increased,while central nucleon density are reduced due to repulsive effect.4.We explore the hyperon removal energy in both spherical and deformed SHF approach.We find that (?)-removal energy strongly depend on the shape of core,thus we calculate the difference between the values in two models.Moreover,the removal energy of 13(?)p B[12C(g.s.)+(?)-(1p)]calculated by SLX3 force is 0.7MeV,which is in good agreement with a possible value of 0.82±0.17MeV from the KEK E176 experiment.Our work is to provide more information for identifying the bound K-nuclei and(?)-hypernuclei in the experiment,which may further proceed the exploration on the KN and (?)N interaction.