6533b86cfe1ef96bd12c81cf

RESEARCH PRODUCT

Instabilities of infinite matter with effective Skyrme-type interactions

Jérôme MargueronNguyen Van GiaiJesús Navarro

subject

PhysicsNuclear and High Energy Physicsendocrine systemNuclear Theory[PHYS.NUCL]Physics [physics]/Nuclear Theory [nucl-th]010308 nuclear & particles physicsEquation of state (cosmology)Nuclear TheoryFOS: Physical sciencesFísicaType (model theory)Flory–Huggins solution theoryNuclear matter01 natural sciencesStability (probability)Nuclear Theory (nucl-th)Quantum mechanics0103 physical sciencesSaturation (graph theory)Neutron010306 general physicsNuclear theoryhormones hormone substitutes and hormone antagonists

description

The stability of the equation of state predicted by Skyrme-type interactions is examined. We consider simultaneously symmetric nuclear matter and pure neutron matter. The stability is defined by the inequalities that the Landau parameters must satisfy simultaneously. A systematic study is carried out to define interaction parameter domains where the inequalities are fulfilled. It is found that there is always a critical density $\rho_{cr}$ beyond which the system becomes unstable. The results indicate in which parameter regions one can find effective forces to describe correctly finite nuclei and give at the same time a stable equation of state up to densities of 3-4 times the saturation density of symmetric nuclear matter.

10.1103/physrevc.66.014303https://hal.in2p3.fr/in2p3-00011788