Neutron pairing with medium polarization beyond the Landau approximation

Abstract

We revisit the long-standing problem of the superfluid transition temperature $T_c$ in dilute neutron matter. It is well known that $T_c$ is strongly affected by medium polarization effects (screening) which modify the pairing interaction in the medium. We study these effects within the random-phase approximation (RPA). It turns out that the widely used Landau approximation is sufficient only at densities below about 0.002 fm${}^{-3}$. At higher densities, the full RPA leads to stronger screening than the Landau approximation.

12 pages, 7 figures

References in corpus (13)

• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. IX: Constraint of pairing force to ${}^1{S}_0$ neutron-matter gap
• Screening Effects in Superfluid Nuclear and Neutron Matter within Brueckner Theory
• Equation of state of superfluid neutron matter and the calculation of ${}^1{S}_0$ pairing gap
• Low-momentum interactions with smooth cutoffs
• Spin and spin-isospin instabilities in asymmetric nuclear matter at zero and finite temperatures using Skyrme functionals
• BCS-BEC crossover of neutron pairs in symmetric and asymmetric nuclear matter
• Linear response theory and neutrino mean free path using Brussels-Montreal Skyrme functionals
• Linear response of homogeneous nuclear matter with energy density functionals
• Pairing in neutron matter: New uncertainty estimates and three-body forces
• Nuclear pairing from microscopic forces: singlet channels and higher-partial waves
• Dependence of the BCS 1S0 superfluid pairing gap on nuclear interactions
• Three-nucleon forces and superfluidity in neutron matter

Cited by in corpus (13)

• Neutron Stars and the Nuclear Equation of State
• Equation of Motion Method to strongly correlated Fermi systems and Extended RPA approaches
• Many-body correlations in nuclear superfluidity
• Pairing in pure neutron matter
• Intersections of ultracold atomic polarons and nuclear clusters: How is a chart of nuclides modified in dilute neutron matter?
• On the Peculiar Rotational Evolution of PSR B0950+08
• Nuclear superfluidity at finite temperature
• From odd-even staggering to the pairing gap in neutron matter
• Energy and Angle Dependence of Neutrino Scattering Rates in Proto-Neutron Star and Supernova Matter within Skyrme RPA
• BCS-BEC Crossover Effects and Pseudogap in Neutron Matter
• Effect of the equation of state for dilute neutron matter on the composition of the inner crust of neutron stars
• New Skyrme parametrizations to describe finite nuclei and neutron star matter with realistic effective masses. II. Adjusting the spin-dependent terms
• Hartree shift and pairing gap in ultracold Fermi gases in the framework of low-momentum interactions