Random matrix analysis of the monopole strength distribution in $^{208}$Pb
Abstract
We study statistical properties of the spectrum of Pb in the energy region MeV. We use the Skyrme interaction SLy4 as our model Hamiltonian to create a single-particle spectrum and to analyze excited states. The finite-rank separable approximation for the particle-hole interaction enables us to perform the calculations in large configuration spaces. We show that while the position of the monopole resonance centroid is determined by one phonon excitations of , the phonon-phonon coupling is crucial for the description of a strength distribution of the spectrum. In fact, this coupling has an impact on the spectral rigidity which is shifted towards the random matrix limit of the Gaussian orthogonal ensembles.
Keywords
Cite
@article{arxiv.1611.09619,
title = {Random matrix analysis of the monopole strength distribution in $^{208}$Pb},
author = {A. P. Severyukhin and S. Aberg and N. N. Arsenyev and R. G. Nazmitdinov and K. N. Pichugin},
journal= {arXiv preprint arXiv:1611.09619},
year = {2017}
}
Comments
15 pages, 4 figures, accepted for publication in Physics of Atomic Nuclei