Open problems in nuclear density functional theory

B G Giraud (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

This note describes five questions of some interest for the density functional theory in nuclear physics. These are, respectively, i) the need for concave functionals, ii) the nature of the Kohn-Sham potential for the radial density theory, iii) a proper implementation of a density functional for an " intrinsic " rotational density, iv) the possible existence of a potential driving the square root of the density, and v) the existence of many models where a density functional can be explicitly constructed. Preliminary considerations: The nuclear Hamiltonian used here reads, H = i p 2 i 2m + i>j v ij + ε i r i 2 + α N 2 + 2β N Z + γ Z 2, (1) where r i and p i are the coordinates and momenta of identical nucleons, with spin and isospin labels understood unless necessary, m is their mass, v ij is the two-body interaction, Galilean invariant. A term, i>j>k w ijk, for three-body interactions, can be added if needed, provided it is also Galilean invariant. The role of the additional terms, a center-of mass trap with strength ε, and particle

Mots clés: Physical Sciences

Domaines: Physique [physics]

B G Giraud. Open problems in nuclear density functional theory. Journal of Physics G: Nuclear and Particle Physics, 2010, 37 (6), pp.64002. ⟨10.1088/0954-3899/37/6/064002⟩. ⟨hal-00630015⟩