English

Nuclear interactions from the renormalization group

Nuclear Theory 2009-11-10 v1 Astrophysics Strongly Correlated Electrons

Abstract

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.

Keywords

Cite

@article{arxiv.nucl-th/0411070,
  title  = {Nuclear interactions from the renormalization group},
  author = {Achim Schwenk},
  journal= {arXiv preprint arXiv:nucl-th/0411070},
  year   = {2009}
}

Comments

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