The linear response of a nonrelativistic superfluid baryon system on an external weak field is investigated while taking into account of the Fermi-liquid interactions. We generalize the theory developed by Leggett for a superfluid Fermi-liquid at finite temperature to the case of timelike momentum transfer typical of the problem of neutrino emission from neutron stars. A space-like kinematics is also analysed for completeness and compared with known results. We use the obtained response functions to derive the neutrino energy losses caused by recombination of broken pairs in the electrically neutral superfluid baryon matter. We find that the dominant neutrino radiation occurs through the axial-vector neutral currents. The emissivity is found to be of the same order as in the BCS approximation, but the details of its temperature dependence are modified by the Fermi-liquid interactions. The role of electromagnetic correlations in the pairing case of protons interacting with the electron background is discussed in the conclusion.
Superfluid extension of the self-consistent time-dependent band theory for neutron star matter: Anti-entrainment versus superfluid effects in the slab phase
Spin effects in superfluidity, neutron matter and neutron stars
Frankfurt Institute for Advanced Studies（法兰克福高等研究所）；Institute of Theoretical Physics, University of Wrocław（弗罗茨瓦夫大学理论物理研究所）；Columbia Astrophysics Laboratory, Columbia University（哥伦比亚大学天体物理学实验室）
Phase transitions in the inner crust of neutron stars within the superfluid band theory: Competition between $^1\text{S}_0$ pairing and spin polarization under finite temperature and magnetic field
Institute of Science Tokyo（东京科学大学）；University of Tsukuba（筑波大学）；RIKEN Nishina Center（理化学研究所西村中心）
