The Density Matrix Renormalization Group Method and Large-Scale Nuclear Shell-Model Calculations

摘要: The particle-hole Density Matrix Renormalization Group (p-h DMRG) method is discussed as a possible new approach to large-scale nuclear shell-model calculations. Following general description of the method, we apply it class problems involving many identical nucleons constrained move in single large j-shell and interact via pairing plus quadrupole interaction. A single-particle term that splits shell into degenerate doublets included so accommodate physics Fermi surface problem. We p-h DMRG this test problem for two $j$ values, one which model can be solved exactly size hamiltonian much too exact treatment. In former case, able reproduce results ground state energy, energies low-lying excited states, other observables with extreme precision. latter exhibit rapid exponential convergence, suggesting great promise methodology even more realistic systems. also compare calculation those from Hartree-Fock-Bogolyubov approximation address several questions about relevance its usefulness when treating