New approach to large-scale nuclear structure calculations

作者: J. Dukelsky , S. Pittel

DOI: 10.1103/PHYSREVC.63.061303

关键词:

摘要: A new approach to large-scale nuclear structure calculations, based on the Density Matrix Renormalization Group (DMRG), is described. The method tested in context of a problem involving many identical nucleons constrained move single large-j shell and interacting via pairing plus quadrupole interaction. In cases which exact diagonalization hamiltonian possible, able reproduce results for ground state energy energies low-lying excited states with extreme precision. Results are also presented model solution not feasible.

参考文章(11)
Kris L.G. Heyde, The Nuclear Shell Model Springer Series in Nuclear and Particle Physics. ,(1990) , 10.1007/978-3-642-97203-4
E. Caurier, G. Martínez-Pinedo, F. Nowacki, A. Poves, J. Retamosa, A. P. Zuker, Full $0\hbar\omega$ shell model calculation of the binding energies of the $1f_{7/2}$ nuclei arXiv: Nuclear Theory. ,(1998) , 10.1103/PHYSREVC.59.2033
W Haxton, Double beta decay Progress in Particle and Nuclear Physics. ,vol. 12, pp. 409- 479 ,(1984) , 10.1016/0146-6410(84)90006-1
O. Castaños, J.P. Draayer, Contracted symplectic model with ds-shell applications Nuclear Physics A. ,vol. 491, pp. 349- 372 ,(1989) , 10.1016/0375-9474(89)90572-1
Michio Honma, Takahiro Mizusaki, Takaharu Otsuka, NUCLEAR SHELL MODEL BY THE QUANTUM MONTE CARLO DIAGONALIZATION METHOD Physical Review Letters. ,vol. 77, pp. 3315- 3318 ,(1996) , 10.1103/PHYSREVLETT.77.3315
Noritaka Shimizu, Takaharu Otsuka, Takahiro Mizusaki, Michio Honma, Transition from Spherical to Deformed Shapes of Nuclei in the Monte Carlo Shell Model Physical Review Letters. ,vol. 86, pp. 1171- 1174 ,(2001) , 10.1103/PHYSREVLETT.86.1171
Steven R. White, Density matrix formulation for quantum renormalization groups Physical Review Letters. ,vol. 69, pp. 2863- 2866 ,(1992) , 10.1103/PHYSREVLETT.69.2863
J. Dukelsky, G. Sierra, Density Matrix Renormalization Group Study of Ultrasmall Superconducting Grains Physical Review Letters. ,vol. 83, pp. 172- 175 ,(1999) , 10.1103/PHYSREVLETT.83.172
J. Dukelsky, G. Sierra, Crossover from bulk to few-electron limit in ultrasmall metallic grains Physical Review B. ,vol. 61, pp. 12302- 12314 ,(2000) , 10.1103/PHYSREVB.61.12302