Incompressibility of finite fermionic systems: stable and exotic atomic nuclei

Abstract

The incompressibility of finite fermionic systems is investigated using analytical approaches and microscopic models. The incompressibility of a system is directly linked to the zero-point kinetic energy of constituent fermions, and this is a universal feature of fermionic systems. In the case of atomic nuclei, this implies a constant value of the incompressibility in medium-heavy and heavy nuclei. The evolution of nuclear incompressibility along Sn and Pb isotopic chains is analyzed using global microscopic models, based on both non-relativistic and relativistic energy functionals. The result is an almost constant incompressibility in stable nuclei and systems not far from stability, and a steep decrease in nuclei with pronounced neutron excess, caused by the emergence of a soft monopole mode in neutron-rich nuclei.

7 pages, 5 figures

References in corpus (13)

• Nuclear magic numbers: new features far from stability
• Exotic modes of excitation in atomic nuclei far from stability
• Isotopic dependence of the giant monopole resonance in the even-A ^{112-124}Sn isotopes and the asymmetry term in nuclear incompressibility
• Constraining the nuclear equation of state at subsaturation densities
• Isoscalar giant resonances in the Sn nuclei and implications for the asymmetry term in the nuclear-matter incompressibility
• Giant Monopole Resonance in even-A Cd isotopes, the asymmetry term in nuclear incompressibility, and the "softness" of Sn and Cd nuclei
• Microscopic Study of the Isoscalar Giant Monopole Resonance in Cd, Sn and Pb Isotopes
• Microscopic linear response calculations based on the Skyrme functional plus the pairing contribution
• Giant Monopole Resonances and nuclear incompressibilities studied for the zero-range and separable pairing interactions
• The role of superfluidity in nuclear incompressibilities
• Constraining the nuclear pairing gap with pairing vibrations
• Low-energy monopole strength in exotic Nickel isotopes
• The Giant Monopole Resonance in Pb isotopes

Cited by in corpus (10)

• The many facets of the (non relativistic) Nuclear Equation of State
• Excitation of Giant Monopole Resonance in ${}^{208}$Pb and ${}^{116}$Sn Using Inelastic Deuteron Scattering
• Towards a self-consistent dynamical nuclear model
• Neutron stars: from the inner crust to the core with the (Extended) Nambu-Jona-Lasinio model
• Nuclear incompressibility and sound speed in uniform matter and finite nuclei
• Finite amplitude method on the deformed relativistic Hartree-Bogoliubov theory in continuum: The isoscalar giant monopole resonance in exotic nuclei
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• Soft breathing modes in neutron--rich nuclei with the subtracted second random--phase approximation
• Microscopic Description of Isoscalar Giant Monopole Resonance in ${}^{48}$Ca
• Recent applications of the subtracted second RPA method