The neutron star inner crust: an empirical essay

Effects of the U-boson on the inner edge of neutron star crusts

We explore effects of the light vector $U$-boson, which is weakly coupled to nucleons, on the transition density $ρ_{t}$ and pressure $P_{t}$ at the inner edge separating the liquid core from the solid crust of neutron stars. Three methods, i.e., the thermodynamical approach, the curvature matrix approach and the Vlasov equation approach are used to determine the transition density $ρ_{t}$ with the Skyrme effective nucleon-nucleon interactions. We find that the $ρ_{t}$ and $P_{t}$ depend on not only the ratio of coupling strength to mass squared of the $U$-boson $g^{2}/μ^{2}$ but also its mass…

利用偶极超固体探索脉冲星周期突变

Exploring pulsar glitches with dipolar supersolids

本研究借助中子星内壳层与偶极超固体的相似性，数值分析涡旋俘获机制及物质密度分布对脉冲星周期突变的影响，为实验室天体量子模拟奠定基础。

A low energy theory for superfluid and solid matter and its application to the neutron star crust

We formulate a low energy effective theory describing phases of matter that are both solid and superfluid. These systems simultaneously break translational symmetry and the phase symmetry associated with particle number. The symmetries restrict the combinations of terms that can appear in the effective action and the lowest order terms featuring equal number of derivatives and Goldstone fields are completely specified by the thermodynamic free energy, or equivalently by the long-wavelength limit of static correlation functions in the ground state. We show that the underlying interaction betwee…