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Giant Monopole Resonances and nuclear incompressibilities studied for the zero-range and separable pairing interactions

  • Vesely, P.
  • Toivanen, J.
  • Carlsson, B. G.
  • Dobaczewski, J.
  • Michel, N.
  • Pastore, A.
Published Article
Publication Date
Aug 21, 2012
Submission Date
Feb 25, 2012
DOI: 10.1103/PhysRevC.86.024303
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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.

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