T-2, Nuclear and Particle Physics, Astrophysics and Cosmology

Neutron matter and pairing in finite nuclei

Kai Hebeler

We calculate the energy per particle and pressure in neutron matter based on chirl nucleon-nucleon (NN) and three-nucleon (3N) interactions. For this we derive an effective density- dependent NN interaction from the leading order (NNLO) 3N interaction by averaging one particle over the Fermi sea. This effective forec can be incorporated in a straightforward way in existing many-body calculations. Furthermore we investigate pairing gaps based upon microoscopic NN interactions in finite nuclei in the framework of the density-functional theory. We find that pairing gaps obtained from low-momentum interactions depend only weakly on approximation schemes for the normal self-energy, required in present energy-desnity functional calculations, while pairing gaps from hard poentials are very sensitive to the effective-mass approximation scheme.


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