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.

arXiv comment9 pages, 6 figures

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• Constraining the nuclear pairing gap with pairing vibrations
• The Giant Monopole Resonance in Pb isotopes
• Surface behaviour of the pairing gap in a slab of nuclear matter
• Solution of the microscopic gap equation for a slab of nuclear matter with the Paris NN-potential

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• The Compression-Mode Giant Resonances and Nuclear Incompressibility
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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
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• 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