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Journal Articles Physical Review C Year : 2012

Giant monopole resonances and nuclear incompressibilities studied for the zero-range and separable pairing interactions

P. Veselý
  • Function : Author
J. Toivanen
  • Function : Author
B.G. Carlsson
  • Function : Author
J. Dobaczewski
  • Function : Author
N. Michel
  • Function : Author

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 semimagic nuclei. Methods: We employ self-consistently the quasiparticle random phase approximation on top of spherical Hartree-Fock-Bogoliubov 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.

Dates and versions

in2p3-00730985 , version 1 (11-09-2012)

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P. Veselý, J. Toivanen, B.G. Carlsson, J. Dobaczewski, N. Michel, et al.. Giant monopole resonances and nuclear incompressibilities studied for the zero-range and separable pairing interactions. Physical Review C, 2012, 86, pp.024303. ⟨10.1103/PhysRevC.86.024303⟩. ⟨in2p3-00730985⟩
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