2002/07/31 by Achim Schwenk, Bengt Friman, Gerald E. Brown · 3 citations
Physics and Astronomy · #Nuclear physics research studies #Pulsars and Gravitational Waves Research #Quantum, superfluid, helium dynamics #astro-ph #cond-mat #nucl-th
paper · pdf · doi:10.1016/s0375-9474(02)01290-3
published as Nucl.Phys.A713:191-216,2003 · 31 pages, 9 figures, minor revisions, to appear in Nucl. Phys. A
arxiv created 2002/09/19 · openalex publication_date 2003/01/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
Renormalization group methods can be applied to the nuclear many-body problem using the approach proposed by Shankar. We start with the two-body low momentum interaction Vlow k and use the RG flow from the particle-hole channels to calculate the full scattering amplitude in the vicinity of the Fermi surface. This is a new straightforward approach to the many-body problem which is applicable also to condensed matter systems without long-range interactions, such as liquid 3He. We derive the one-loop renormalization group equations for the quasiparticle interaction and the scattering amplitude at zero temperature. The RG presents an elegant method to maintain all momentum scales and preserve the antisymmetry of the scattering amplitude. As a first application we solve the RG equations for neutron matter. The resulting quasiparticle interaction includes effects due to the polarization of the medium, the so-called induced interaction of Babu and Brown. We present results for the Fermi liquid parameters, the equation of state of neutron matter and the 1S0 superfluid pairing gap.