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Giant Monopole Resonances and nuclear incompressibilities
studied for the zero-range and separable pairing interactions.
P. Veselý, J. Toivanen, B. G. Carlsson, J. Dobaczewski,
N. Michel, and A. Pastore
Date: February 28, 2012
- 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 Pb.
- We determine the influence of finite-range and
separable pairing interactions on monopole strength functions in
- 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.
- We found that the difference between centroids of
Giant Monopole Resonances measured in lead and tin (about 1MeV)
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.
- The zero-range and separable pairing forces
cannot induce modifications of monopole strength functions in tin to
match experimental data.