Effect of pairing correlations on incompressibility and symmetry energy in nuclear matter and finite nuclei

Abstract

The role of superfluidity in the incompressibility and in the symmetry energy is studied in nuclear matter and finite nuclei. Several pairing interactions are used: surface, mixed and isovector dependent. Pairing has a small effect on the nuclear matter incompressibility at saturation density, but the effects are significant at lower densities. The pairing effect on the centroid energy of the isoscalar Giant Monopole Resonance (GMR) is also evaluated for Pb and Sn isotopes by using a microscopic constrained-HFB approach, and found to change at most by 10% the nucleus incompressibility $K_A$. It is shown by using the Local Density Approximation (LDA) that most of the pairing effect on the GMR centroid come from the low-density nuclear surface.

9 pages, 6 figures

References in corpus (9)

• Constraints on the symmetry energy and on neutron skins from the pygmy resonances in 68Ni and 132Sn
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Isoscalar giant resonances in the Sn nuclei and implications for the asymmetry term in the nuclear-matter incompressibility
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• Microscopic linear response calculations based on the Skyrme functional plus the pairing contribution
• The role of superfluidity in nuclear incompressibilities
• Constraining the nuclear pairing gap with pairing vibrations
• The Giant Monopole Resonance in Pb isotopes

Cited by in corpus (26)

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• Shape evolution of giant resonances in Nd and Sm isotopes
• Symmetry Energy Constraints from Giant Resonances: A Theoretical Overview
• Giant Monopole Resonances and nuclear incompressibilities studied for the zero-range and separable pairing interactions
• Pairing in exotic neutron rich nuclei around the drip line and in the crust of neutron stars
• Role of pairing in the description of Giant Monopole Resonances
• Correlations between the nuclear breathing mode energy and properties of asymmetric nuclear matter
• Relativistic mean field plus exact pairing approach to open shell nuclei
• Isoscalar monopole and quadrupole modes in Mo isotopes: microscopic analysis
• Relativistic approach to the nuclear breathing mode
• Is the first excited state of the $\alpha$-particle a breathing mode?
• Constraining nuclear matter parameters from correlation systematics:a mean-field perspective
• Role of density dependent symmetry energy in nuclear stopping
• Application of random phase approximation to vibrational excitations of double-$\Lambda$ hypernuclei
• Giant monopole energies from a constrained relativistic mean-field approach
• Limiting symmetry energy elements from empirical evidence
• Emergence of low-energy monopole strength in the neutron-rich calcium isotopes
• Symmetry energy and neutron-proton radii studies with a Wigner-Heisenberg monopole-monopole interaction
• Softness of Sn isotopes in relativistic semi-classical approximation
• Effects of pairing correlations on the neutron skin thickness and the symmetry energy
• Nuclear superfluidity in isospin asymmetric matter within the Skyrme model
• Pairing effects on neutron matter equation of state and symmetry energy at subsaturation densities
• Nuclear equation of state and incompressibility in a model with correlations from giant monopole vibrations