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Effective nucleon-nucleon interaction and fermi liquid theory (2001).
| Content Provider | CiteSeerX |
|---|---|
| Author | Schwenk, Achim Brown, Gerald E. Friman, Bengt |
| Abstract | 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. The work we present at this conference 1 was motivated by the results of Bogner et al., 2 who have constructed a low momentum nucleon-nucleon interaction Vlow k using traditional nuclear effective interaction methods. Starting from a realistic nucleon-nucleon interaction, such as the Paris, Bonn-A, and Argonne potentials or a chiral effective field theory model, they integrate out relative momenta larger than a cutoff Λ in the sense of the renormalization group (RG). The hard momenta renormalize Vlow k, such that the original low momentum half-on-shell T matrix, |
| File Format | |
| Publisher Date | 2001-01-01 |
| Access Restriction | Open |
| Subject Keyword | Fermi Liquid Parameter New Constraint Nuclear Matter Novel Relation Major Spin-dependent One Traditional Nuclear Effective Interaction Method Original Low Momentum Half-on-shell Matrix Relative Momentum Chiral Effective Field Theory Model Argonne Potential Renormalization Group Empirical Value Hard Momentum Pauli Principle Sum Rule Unique Low Momentum Nucleon-nucleon Interaction Independent Constraint Spin-independent Fermi Liquid Parameter Quasiparticle Interaction Renormalization Group Flow Particle-hole Channel Realistic Nucleon-nucleon Interaction Low Momentum Nucleon-nucleon Interaction Vlow |
| Content Type | Text |