Long-wavelength spin- and spin-isospin correlations in nucleon matter

Abstract

We analyse the long-wavelength response of a normal Fermi liquid using Landau theory. We consider contributions from intermediate states containing one additional quasiparticle-quasihole pair as well as those from states containing two or more additional quasiparticle-quasihole pairs. For the response of an operator corresponding to a conserved quantity, we show that the behavior of matrix elements to states with more than one additional quasiparticle-quasihole pair at low excitation energies $\omega$ varies as $1/\omega$. It is shown how rates of processes involving transitions to two quasiparticle-quasihole states may be calculated in terms of the collision integral in the Landau transport equation for quasiparticles.

10 pages, 3 figures

References in corpus (6)

• Renormalization group approach to neutron matter: quasiparticle interactions, superfluid gaps and the equation of state
• Polarization contributions to the spin-dependence of the effective interaction in neutron matter
• Neutrino emission in neutron stars
• Static response of Fermi liquids with tensor interactions
• Neutrino Bremsstrahlung in Neutron Matter from Effective Nuclear Interactions
• Multipair contributions to the spin response of nuclear matter

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• Supernova matter at subnuclear densities as a resonant Fermi gas: Enhancement of neutrino rates
• Spin Response and Neutrino Emissivity of Dense Neutron Matter
• Spin response of a normal Fermi liquid with noncentral interactions
• Response functions of cold neutron matter: density, spin and current fluctuations
• Response functions of cold neutron matter: density fluctuations
• Neutrino-nucleus interactions at low energies within Fermi-liquid theory
• Neutrino-pair bremsstrahlung from nucleon-$\alpha$ versus nucleon-nucleon scattering