The role of superfluidity in nuclear incompressibilities

Abstract

Nuclei are propitious tools to investigate the role of the superfluidity in the compressibility of a Fermionic system. The centroid of the Giant Monopole Resonance (GMR) in Tin isotopes is predicted using a constrained Hartree-Fock Bogoliubov approach, ensuring a full self-consistent treatment. Superfluidity is found to favour the compressibitily of nuclei. Pairing correlations explain why doubly magic nuclei such as ${}^{208}$Pb are stiffer compared to open-shell nuclei. Fully self-consistent predictions of the GMR on an isotopic chain should be the way to microscopically extract both the incompressibility and the density dependence of a given energy functional. The macroscopic extraction of K${}_{sym}$, the asymmetry incompressibility, is questioned. Investigations of the GMR in unstable nuclei are called for. Pairing gap dependence of the nuclear matter incompressibility should also be investigated.

5 pages

References in corpus (8)

• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Incompressibility of neutron-rich matter
• Self-consistent description of multipole strength: systematic calculations
• The long journey from the giant-monopole resonance to the nuclear-matter incompressibility
• Why is Tin so soft?
• Microscopic linear response calculations based on the Skyrme functional plus the pairing contribution
• Temperature and finite-size effects in collective modes of superfluid Fermi gases

Cited by in corpus (7)

• Isoscalar giant resonances in the Sn nuclei and implications for the asymmetry term in the nuclear-matter incompressibility
• The Giant Monopole Resonance in Pb isotopes
• Compressional-mode resonances in the molybdenum isotopes: Emergence of softness in open-shell nuclei near A=90
• Emergence of low-energy monopole strength in the neutron-rich calcium isotopes
• Differential analysis of incompressibility in neutron-rich nuclei
• Nuclear incompressibility and its enduring impact on fusion cross-section
• Monopole Excitation and Nuclear Compressibility: Present and Future Perspectives