Exploration Of Symmetry Energy Of Nuclear Matter In Extreme Conditions Based On Continuum Random Phase Approximation

The problem of the symmetry energy of nuclear matter is a hot issue in the field of nuclear physics. It is very important in nuclear physics such as the heavy-ion collisions and the exotic nuclei, and also plays a crucial role in astrophysics, for example, the supernova explosion and the cooling neutron star.Although it can be naturally gotten that the symmetry energy of nuclear matter is around 30MeV at the saturation point from the classical droplet model, its value is still a puzzle far away from the saturation point. A variety of relativistic and non-relativistic models give rather different results of symmetry energy under the extreme conditions. Nuclear matter is only a kind of idealized system, we can not detect its value under the extreme conditions. Since the nuclear matter symmetry energy value is not available, we can only speculate it from theoretical model indirectly. It only comes to the agreement that the symmetry energy around saturation point is between 20-30MeV. Deviated from the saturation point, however, the different models give different answers. Determining the symmetry energy of nuclear matter is still a challenging problem now.Mean-field model (including the relativistic and non-relativistic) is one of the most successful models to explain the phenomena of nuclear physics so far. Although it is a kind of phenomenological descriptions including some adjustable parameters, it can reproduce a large number of the experimental data and explain most experimental phenomena. So it is widely used in the nuclear physics research. In this thesis, by using the Skyrme-Hartree-Fork self-consistent and the continuous random phase approximation to calculate the ISGMR intensity distribution of some even-even nuclei, we give a new method to choose Skyrme parameters via comparing with the latest experimental data. Further we give a reasonable range of the symmetry energy of nuclear matter when the density is far away from the saturation density. The symmetry energy value is between 25~40 MeV when the density comes to 3 times of nuclear matter saturation density. Also we calculate the nuclear compressibility of 3 even-even nuclei in Super-heavy zone.