Systermatic Study On The Compressibility Of Nuclear Matter

The incompressibility of nuclear matter is the basic nature of the equation of state.Incompressibility of nuclear matter problem has always been a hot issue in the field of nuclear physics research for many years. It has concluded that nuclear matter incompressibility coefficient is not only very important in nuclear physics related areas (such as heavy-ion collisions) but also play an important role on solving a range of astrophysical problems(such as astrophysics and neutron stars, supernova explosion cooling and so on) .Nuclear giant resonance is a phenomenon of collective excitation of atomic nucleus. Giant dipole resonance is the first found as collective excited state of nuclei. later , people again observed a higher mode of giant resonance from experiments. Among resonance modes, isospin scalar giant monopole resonance is direct source of providing the incompressibility of nuclear matter. The study of incompressibilityof nuclear matter is start from giant resonance. The theory framework of studying the compressibility of nuclear matter is mainly microscopic model(mean field models (including the relativistic and non-relativistic)), which is the most successful model to explain the phenomena nucleus by far. Although it is the phenomenological description,it contains many adjustable parameter and can reproduce a large number of experimental data to explain many experimental phenomena.Back to the eighties, people have had a lot of experimental data obtained under the GDR energy and A^-1/3law has some systematic deviation, but with the advances in experimental technology, people found that giant monopole resonance energy is also good to follow the A^-1/3law, because nuclear matter incompressibility coefficient and the GMR energy of the direct relationship, we speculated that the nuclear matter incompressibility coefficient should also follow the law very well.This paper we use Skyrme interaction self-consistent field Hartree-Fork and continuous random phase approximation (RPA), calculated the number of drip line nucleus and a stable nuclear isospin scalar giant monopole resonance (ISGMR) and the isospin vector of giant monopole resonance (IVGMR) the intensity distribution. Using the relationship between the incompressibility coefficient and ISGMR energy, we get K_A= 243MeV. Then we make the conclusion extended to infinite nuclear matter incompressibility coefficient, we start the study from semi-empirical formula of compressibility of limited nuclear material by the theoretical results and a large number of experimental value and then get the value to satisfy the law, Using and the relationship between incompressibility of limited nuclear matter coefficient and ISGMR energy. The A^-1/3 law and Z-1 /3 Law of semi-empirical formula of compression and a group of ISGMR experimental observations of nuclides are analyzed, the results show that the Z^-1/3 law is superior to A^-1/3 law.