Giant Monopole Resonances and nuclear incompressibilities studied for the zero-range and separable pairing interactions
Abstract
Background: Following the 2007 precise measurements of monopole strengths in tin isotopes, there has been a continuous theoretical effort to obtain a precise description of the experimental results. Up to now, there is no satisfactory explanation of why the tin nuclei appear to be significantly softer than 208Pb. Purpose: We determine the influence of finite-range and separable pairing interactions on monopole strength functions in semi-magic nuclei. Methods: We employ self-consistently the Quasiparticle Random Phase Approximation on top of spherical Hartree-Fock-Bogolyubov solutions. We use the Arnoldi method to solve the linear-response problem with pairing. Results: We found that the difference between centroids of Giant Monopole Resonances measured in lead and tin (about 1 MeV) always turns out to be overestimated by about 100%. We also found that the volume incompressibility, obtained by adjusting the liquid-drop expression to microscopic results, is significantly larger than the infinite-matter incompressibility. Conclusions: The zero-range and separable pairing forces cannot induce modifications of monopole strength functions in tin to match experimental data.
Keywords
Cite
@article{arxiv.1202.5617,
title = {Giant Monopole Resonances and nuclear incompressibilities studied for the zero-range and separable pairing interactions},
author = {P. Vesely and J. Toivanen and B. G. Carlsson and J. Dobaczewski and N. Michel and A. Pastore},
journal= {arXiv preprint arXiv:1202.5617},
year = {2013}
}
Comments
11 RevTeX pages, 16 figures, 1 table, extended version