# 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.
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Journal articles

Cited literature [7 references]

http://hal.in2p3.fr/in2p3-00386181
Contributor : Elias Khan <>
Submitted on : Wednesday, May 20, 2009 - 5:14:45 PM
Last modification on : Wednesday, September 16, 2020 - 4:08:29 PM
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### Citation

E. Khan. The role of superfluidity in nuclear incompressibilities. Physical Review C, American Physical Society, 2009, 80, pp.011307. ⟨10.1103/PhysRevC.80.011307⟩. ⟨in2p3-00386181⟩

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