Nuclear interactions from the renormalization group

Details Nuclear interactions from the renormalization group Nuclear interactions from the renormalization group

2004-11-17

arxiv.org/abs/nucl-th/0411070v1

Int.J.Mod.Phys. B20 (2006) 2724-2729

Physics

Nuclear Physics

Nuclear Theory

6 pages, 4 figures, talk at 12th International Conference on Recent Progress in Many-Body Theories, Santa Fe, August 2004

Scientific paper

10.1142/S0217979206035229

We discuss how the renormalization group can be used to derive effective nuclear interactions. Starting from the model-independent low-momentum interaction V_{low k}, we successively integrate out high-lying particle and hole states from momentum shells around the Fermi surface as proposed by Shankar. The renormalization group approach allows for a systematic calculation of induced interactions and yields similar contributions to the scattering amplitude as the two-body parquet equations. We review results for the 1S0 and 3P2 superfluid pairing gaps as well as the spin dependence of effective interactions in neutron matter. Implications for the cooling of neutron stars are discussed.

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