Signatures of two-body random matrix ensembles in Sm I

Abstract

Configuration interaction calculations for the Sm I ${J=0}^{+}$ and ${4}^{+}$ with matrix dimensions 1351 and 7325 are carried out. The eigenvalues and eigenfunctions are analyzed for density of states, strength functions, and information entropy in wave functions and compared with the Gaussian forms given by two-body random matrix ensembles (TBRE). Signatures of TBRE are clearly seen in the Sm I example.