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Lowest bound of energies for random interactions and the origin of spin-zero ground state dominance in even-even nuclei

2006; American Institute of Physics; Volume: 73; Issue: 1 Linguagem: Inglês

10.1103/physrevc.73.017303

1538-4497

N. Yoshinaga, A. Arima, Y. M. Zhao,

Nuclear physics research studies

In this report we study the origin of spin-zero ground-state dominance for even-even nuclei in the presence of random two-body interactions. We evaluate the ground-state energy in terms of the energy centroid and the width of the random Hamiltonian. For both fermions and bosons in a single orbital, we obtain excellent agreement between the spin-I ground state probabilities predicted by using our formula and those obtained by diagonalizing the random Hamiltonian.