Nuclear incompressibility and speed of sound in uniform matter and finite nuclei
Résumé
We have extended the compressible liquid-drop model with a density-dependent surface term which allows for a unified description of both the nuclear ground-state energies and the incompressibility modulus in finite nuclei . We analyze the role of the nuclear empirical parameters, e.g., , , , and , which contribute to the bulk properties, as well as the role of the finite-size contributions. For the bulk properties, the density and isospin dependencies of the nuclear incompressibility in infinite matter are characterized by introducing new empirical parameters, and two new constraints for the value of are suggested. For finite nuclei, we employ a Bayesian approach coupled to a Markov-Chain Monte Carlo exploration of the parameter space to confront the model predictions of in Zr, Sn, and Pb isotopes to the experimental data. We show that describes the experimental measurements of in these isotopes. This value is different from those deduced from phenomenological nuclear energy density functionals, suggesting a possible explanation of their difficulty to accurately describe Zr, Sn, and Pb data all together. In addition we explore the impact of a fictitious measurement of the giant monopole resonance energy in . We show that this measurement, provided it is accurate enough, will allow us to better determine and . Finally we explore the properties of the speed of sound around saturation density and show the important role of finite-size terms in finite nuclei since they reduce the speed of sound to approximately half compared with nuclear matter.
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