Research On Nuclear Matter Using Skyrme-Hartree-Fock Method

As development of the experimental techniques for radioactive ion beams and the research situation of stuctures of compact stars, research on nuclear matter under the extreme condition, especially spin-polarized asymmetric nuclear matter has already become an important subject. Meanwhile, regarded as one of the many-body methods to study nuclear matter, Skyrme-Hartree-Fock (SHF) is being expanded and applied to various kinds of nuclear systems for its terseness and extensive suitability. Therefore it is essential to study systematically the properties of the nuclear matter under extreme conditions utilizing SHF method at present. On the other hand, Skyrme potential has defects on its formation and the results given by different parameter groups are inconsistent. So It is nessessary to analyse its existing problem through the study on nuclear matter using SHF method, then filter and constrain the parameter groups, and improve the behavior of Skyrme potential in the extreme nuclear matter.Under the frame of the Skyrme-Hartree-Fock (SHF) model, the equation of state of spin-polarized asymmetric nuclear matter has been derived. Then symmetric nuclear matter, asymmetric nuclear matter and spin-polarized nuclear matter has been studied carefully under nineteen parameter groups.We have calculated saturational properties of symmetric nuclear matter, and the dependency of symmetric energy, single-particle potential, effective mass of asymmetric nuclear matter on density or degree of asymmetry. Then we have analysed the characteristics of nuclear matter using different parameter groups, and dependability appraisal of that have been carried on through comparing with the results of other theories.The phase transition of magnetization in spin-polarized asymmetry nuclear matter has been studied. It is shown that the phase transition of magnetization will take place when the density is beneath 0.5 fm^-3 and the point of phase transition move when the parameter group is changed. While considering the asymmetric nuclear matter, the result of calculation indicates that with the degree of asymmetry increase, the density of point of phase transition reduces gradually. That means the phase transition of magnetization take place easily in asymmetric nuclear matter, and most easily in nutron matter.For comparing zero-range three-body force with density-dependence two-body force in spin-polarized nuclear matter, we construct a Skyrme-like potential which include zero-range three-body force. The results show that the density of point of phase transition reduces with the degree of asymmetry increase. This proves that the behavior of zero-range three-body force and density-dependence two-body force in spin-polarized asymmetric nuclear matter is profoundly different, and they contain different type of spin-spin, spin-isospin interaction.In order to study the stability of spin-spin, spin-isospin interaction adopting two kinds of nuclear force forms mentioned above, we have calculated the Landau Parameter of symmetric nuclear matter utilizing two kinds of Skyrme potential (V and V') respectively. The result shows, the Landau parameter given by zero-range three-body force is very sensitive to parameter groups of Skyrme potential. That implies the short range interaction dominates the stability of spin-spin, spin-isospin interaction.