Relativistic Consistent Angular-momentum Projected Shell Model And Its Appkications

Due to the requirement of nuclear physics studying for new tools, we have developed the relativistic consistent quangular-momentum projected shell model(RECAPS) by combining relativistic mean field theory in spherical harmonic basis, which can give a self-consistent calculation for deformed nuclei, and the angular momentum projection method, which can calculate the rotational energy levels of nuclei with constant deformation. It has both the advantages of the self-consistent calculation with relativistic mean field, which is self-consistent and can predict many ground state properties of nuclei(but not excited states), and angular momentum projection method, which can describe both ground and excited states with a small basis space(but not self-consistent). The new model is self-consistent in calculation, also can describe or predict the properties of both ground and excited rotational band.The fundamentals and the way of imlementation of RECAPS are discuessed in chapter 2 and chapter 3. The Fortran code is described, too. The spherical nuclei 16O, 90Zr, 140Ce and 208Pb, and the deformed nuclei 20Ne, 176Yb, 168Er, 160Gd and 160Dy and some other nuclei are calculated by RECAPS in chapter 4 and the results are also compared with others' calculations and experiments, which suggested that the RECAPS is reliable. The giant monopole resonance in 16O, 40Ca and 208Pb are claculated. The numeric results agree with experiments well. Besides stable nuclei, the unstabel nuclei such as Li's isotopes with very neutron-rich and 32Ca and 19B's characters are studied, too. The halo phenomena is analized carefully and a new way by our model's speciality to tell if a nuclei has halo. Then super heavy element 114 and 116 are also calculated and studied. In chapter 5, the ground rotational energy levels and corresponding electromagnetic transitions for 176Yb, 168Er, 160Gd, 160Dy and 165Ho are calculated. 165Ho's rotating band, as an special case, is studied on the counteraction of single nucleon in the mean field.The calculations show that RECAPS is indeed a good method in description and prediction for the properties of nuclei. RECAPS is a useful model and may be a powful tool to study phenomena and problems in nuclear research.Nuclei are quantum systems. Quantum computer is a perfect tool to simulate such systems. Quantum computer is described in chapter 6. The phase matching in the quantum searching algorithm is studied. The description of entanglement in identical two-particle systems is discussed, too.