Bulg. J. Phys. vol.42 no.4 (2015), pp. 337-343

Recent Development of Large-Scale Shell-Model and Projected Shell Model

H.-K. Wang1, Y. Sun2, F.-Q. Chen3, Y.-Q. He4, S.-F. Li1
1College of Physics and Telecommunication Engineering, Zhoukou Normal University, Henan 466000, People's Republic of China
2Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, People's Republic of China
3Departamento de Fisica Teorica, Universidad Autdnoma de Madrid, E-28049 Madrid, Spain
4College of mathematics and statistics, Zhoukou Normal University, Henan 466000, People's Republic of China
Abstract. To describe excitations around a deformation equilibrium, especially for those nuclei without a well-defined shape, we have developed two kinds of shell models: large-scale shell model based on a spherical basis and projected shell model based on a deformed basis. As examples, we show level spectra of a near-spherical nucleus 130In calculated by the large-scale shell-model. The Hamiltonian adopts pairing-plus-multipole force with monopole corrections, and the model space is sufficiently large that includes six proton orbits and seven neutron orbits to allow both proton and neutron core-excitations. In another development to treat shape effects in heavy, deformed nuclei, improved shell-model wave functions are introduced to the projected shell model by superimposing angular-momentum and particle-number projected states constructed with different quadrupole-deformation and pairing-gap parameters as two-dimensional generator coordinates. Using these as trial wave functions, we solve the Hill-Wheeler Equation and analyze the obtained results for the transitional Gd isotopes.

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