Spin instabilities of infinite nuclear matter and effective tensor interactions

Abstract

We study the effects of the tensor force, present in modern effective nucleon-nucleon interactions, in the spin instability of nuclear and neutron matter. Stability conditions of the system against certain very low energy excitation modes are expressed in terms of Landau parameters. It is shown that in the spin case, the stability conditions are equivalent to the condition derived from the spin susceptibility, which is obtained as the zero-frequency and long-wavelength limit of the spin response function calculated in the Random Phase Approximation. Zero-range forces of the Skyrme type and finite-range forces of M3Y and Gogny type are analyzed. It is shown that for the Skyrme forces considered, the tensor effects are sizeable, and tend to increase the spin instability which appears at smaller densities than in the case that the tensor is not taken into account. On the contrary, the tensor contribution of finite range forces to the spin susceptibility is small or negligible for both isospin channels of symmetric nuclear matter as well as for neutron matter. A comparison with the spin susceptibility provided by realistic interactions is also presented.

References in corpus (10)

• Spin-orbit splitting and the tensor component of the Skyrme interaction
• Tensor interaction contributions to single-particle energies
• Spin-orbit and tensor mean-field effects on spin-orbit splitting including self-consistent core polarizations
• Evolution of nuclear shells with the Skyrme density dependent interaction
• Comparative study of neutron and nuclear matter with simplified Argonne nucleon-nucleon potentials
• Tensor effective interaction in self-consistent Random Phase Approximation calculations
• Chiral Fermi liquid approach to neutron matter
• Nuclear response for the Skyrme effective interaction with zero range tensor terms
• Nuclear response for the Skyrme effective interaction with zero-range tensor terms. III. Neutron matter and neutrino propagation
• Ferromagnetic instabilities in neutron matter at finite temperature with the Gogny interaction

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• Linear response of homogeneous nuclear matter with energy density functionals
• Gamow-Teller response and its spreading mechanism in doubly magic nuclei
• Covariance analysis for Energy Density Functionals and instabilities
• Effect of three-body forces on response functions in infinite neutron matter
• Linear response theory in asymmetric nuclear matter for Skyrme functionals including spin-orbit and tensor terms
• Nuclear matter response function with a central plus tensor Landau interaction
• Linear Response Theory with finite-range interactions
• Partial wave decomposition of finite-range effective tensor interaction
• Nuclear response functions with finite range Gogny force: tensor terms and instabilities