Multistep shell model in the complex energy plane
Abstract
We have adopted the multistep shell model in the complex energy plane to study nuclear excitations occurring in the continuum part of the spectrum. In this method one proceeds by solving the shell model equations in a successive manner. That is, in each step one constructs the building blocks to be used in future steps. We applied this formalism to analyze the unbound nuclei Li starting from the one-particle states in Li and two-particle states in Li. In the former case the excitations correspond to the motion of three particles partitioned as the product of a one-particle and two-particle systems. The ground state of Li is thus calculated to be an antibound (virtual) state. In the four-particle system Li the states can be constructed as the coupling of two correlated pairs. We found that there is no bound or antibound state in Li.
Cite
@article{arxiv.1202.3920,
title = {Multistep shell model in the complex energy plane},
author = {Z. X. Xu and C. Qi and R. J. Liotta and R. Wyss},
journal= {arXiv preprint arXiv:1202.3920},
year = {2012}
}
Comments
10 pages, 2 table, 3 figures, Proceedings of the Conference on Advanced Many-Body and Statistical Methods in Mesoscopic Systems, Constanta, Romania, June 27th - July 2nd 2011. To appear in Journal of Physics: Conference Series