Nuclear matter with Brown-Rho-scaled Fermi liquid interactions

Abstract

We present a description of symmetric nuclear matter within the framework of Landau Fermi liquid theory. The low momentum nucleon-nucleon interaction V(low-k) is used to calculate the effective interaction between quasiparticles on the Fermi surface, from which we extract the quasiparticle effective mass, the nuclear compression modulus, the symmetry energy, and the anomalous orbital gyromagnetic ratio. The exchange of density, spin, and isospin collective excitations is included through the Babu-Brown induced interaction, and it is found that in the absence of three-body forces the self-consistent solution to the Babu-Brown equations is in poor agreement with the empirical values for the nuclear observables. This is improved by lowering the nucleon and meson masses according to Brown-Rho scaling, essentially by including a scalar tadpole contribution to the meson and nucleon masses, as well as by scaling g_A. We suggest that modifying the masses of the exchanged mesons is equivalent to introducing a short-range three-body force, and the net result is that the Brown-Rho double decimation is accomplished all at once.

26 pages, 9 figures

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• Isospin Non-Conservation in $sd$-Shell Nuclei
• Chiral Fermi liquid approach to neutron matter
• Quasiparticle interaction in nuclear matter with chiral three-nucleon forces
• Low-momentum NN interactions and all-order summation of ring diagrams of symmetric nuclear matter
• Scale-Invariant Hidden Local Symmetry, Topology Change and Dense Baryonic Matter
• Second-order quasiparticle interaction in nuclear matter with chiral two-nucleon interactions
• Structure formation during phase transitions in strongly interacting matter
• Low-momentum interactions with Brown-Rho-Ericson scalings and the density dependence of the nuclear symmetry energy
• Introduction to low-momentum effective interactions with Brown-Rho scaling and three-nucleon forces
• Dichotomy of Baryons as Quantum Hall Droplets and Skyrmions In Compact-Star Matter
• Toward an Effective Field Theory for Cold Compressed Baryonic Matter
• The Non-Quenching of $g_A$ in Nuclei and Emergent Scale Symmetry in Dense Baryonic Matter
• In Search of a Pristine Signal for (Scale-)Chiral Symmetry in Nuclei
• A New Topological "Twist" to BR Scaling
• Core polarization, Brown-Rho scaling and a memory of Gerry's Princeton years
• The collective excitation of nuclear matter in a bosonized Landau Fermi liquid model
• The "Folk Theorem" on Effective Field Theory: How Does It Fare in Nuclear Physics?
• The Dropping of In-Medium Hadron Mass in Holographic QCD
• Partial restoration of chiral symmetry in hot and dense neutron matter
• Why {\em Explicit} Strangeness Is Not Relevant In Compact Stars
• Nucleon-anti-nucleon intruder state of Dirac equation for nucleon in deep scalar potential well