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Nuclear collective dynamics within Vlasov approach

  • Virgil Baran
  • Maria Colonna
  • Massimo Di Toro
  • Bogdan Frecus
  • Andreea Croitoru
  • Daniel Dumitru
Regular Article
Part of the following topical collections:
  1. Topical issue: Theory and Applications of the Vlasov Equation

Abstract

We discuss, in an investigation based on Vlasov equation, the properties of the isovector modes in nuclear matter and atomic nuclei in relation with the symmetry energy. We obtain numerically the dipole response and determine the strength function for various systems, including a chain of Sn isotopes. We consider for the symmetry energy three parameterizations with density providing similar values at saturation but which manifest very different slopes around this point. In this way we can explore how the slope affects the collective response of finite nuclear systems. We focus first on the dipole polarizability and show that while the model is able to describe the expected mass dependence, A 5/3, it also demonstrates that this quantity is sensitive to the slope parameter of the symmetry energy. Then, by considering the Sn isotopic chain, we investigate the emergence of a collective mode, the Pygmy Dipole Resonance (PDR), when the number of neutrons in excess increases. We show that the total energy-weighted sum rule exhausted by this mode has a linear dependence with the square of isospin I = (NZ)/A, again sensitive to the slope of the symmetry energy with density. Therefore the polarization effects in the isovector density have to play an important role in the dynamics of PDR. These results provide additional hints in the investigations aiming to extract the properties of symmetry energy below saturation.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Virgil Baran
    • 1
  • Maria Colonna
    • 2
  • Massimo Di Toro
    • 3
  • Bogdan Frecus
    • 1
  • Andreea Croitoru
    • 1
  • Daniel Dumitru
    • 1
  1. 1.Faculty of Physics, University of BucharestBucharest-MăgureleRomania
  2. 2.Laboratori Nazionali del Sud, INFNCataniaItaly
  3. 3.Physics and Astronomy Department, University of CataniaCataniaItaly

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