Effective Nucleon-Nucleon Interaction and Fermi Liquid Theory

Details Effective Nucleon-Nucleon Interaction and Fermi Liquid Theory Effective Nucleon-Nucleon Interaction and Fermi Liquid Theory

2001-10-12

arxiv.org/abs/nucl-th/0110033v1

Int.J.Mod.Phys. B17 (2003) 5221-5226

Physics

Nuclear Physics

Nuclear Theory

4 pages, 5 figures, in Proc. 11th International Conference on Recent Progress in Many-Body Theories, Manchester, UK, July 9-13

Scientific paper

10.1142/S0217979203020363

We present two novel relations between the quasiparticle interaction in nuclear matter and the unique low momentum nucleon-nucleon interaction in vacuum. These relations provide two independent constraints on the Fermi liquid parameters of nuclear matter. Moreover, the new constraints define two combinations of Fermi liquid parameters, which are invariant under the renormalization group flow in the particle-hole channels. Using empirical values for the spin-independent Fermi liquid parameters, we are able to compute the major spin-dependent ones by imposing the new constraints as well as the Pauli principle sum rules.

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