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N2LO/N3LO extensions : physical motivation

Skyrme N2LO
functionals: first results
on finite nuclei
D. Davesne, P. Becker,
A. Pastore, J. Navarro
Introduction
Infinite matter
calculations

n Construction of new effective interactions necessary!

Application to
astrophysics LYVA1

n Instabilities experienced with popular interactions (Skyrme,

Application to spherical
nuclei

Gogny)
n Initial idea (Skyrme) : expansion in powers of momentum (k2 )

→ systematic expansion up to kn ... which n???
n N2LO : n = 2 ; N3LO : n = 3 ; ...
2 2
n Gogny: e−r /µ , M3Y : e−µr /µr, ... : SAME kind of expansion

[F. Raimondi et al., Phys.Rev. C84 (2011) 064303]

First results
Conclusion and
perspectives
Linear response
formalism