中子物质的手征费米液体研究
Chiral Fermi liquid approach to neutron matter
摘要：
我们提出了一个完整的准粒子相互作用的微观计算，包括中心以及非中心的组件，在中子物质中的高精度的二体和三体的力量来自手征有效场论的框架内。在多体微扰理论中计算了双核子力的贡献，得到了一阶和二阶微扰（不作任何简化近似）。此外，我们还包括从N2LO手征三核子力，这有助于所有的费米液体参数，除了那些与质心张量相互作用的领先级单圈图。准粒子相互作用的相对动量依赖性在勒让德多项式中扩展到L=2。二阶泡利阻塞效应和介质极化效应在特定通道中相干作用，即朗道参数f_1、h_0和g_0，导致准粒子有效质量的急剧增加，有效张量力和中子物质自旋磁化率的减小。当密度大于核物质饱和密度的一半ρ_0时，首阶手征三核子力对费米液体参数的贡献在所有情况下都与核子密度近似成线性关系.三核子力的最大作用是在各向同性自旋无关通道中产生强排斥的有效相互作用。结果表明，首阶手征三核子力使中子物质的自旋磁化率增加，但在饱和密度ρ_0附近没有观察到铁磁自旋不稳定性的证据.这一工作为进一步研究中子物质对弱探针和电磁探针的响应以及在中子星结构和演化中的应用奠定了基础。
英文摘要：
We present a microscopic calculation of the complete quasiparticle interaction, including central as well as noncentral components, in neutron matter from high-precision two- and three-body forces derived within the framework of chiral effective field theory. The contributions from two-nucleon forces are computed in many-body perturbation theory to first and second order (without any simplifying approximations). In addition we include the leading-order one-loop diagrams from the N2LO chiral three-nucleon force, which contribute to all Fermi liquid parameters except those associated with the center-of-mass tensor interaction. The relative-momentum dependence of the quasiparticle interaction is expanded in Legendre polynomials up to L=2. Second-order Pauli blocking and medium polarization effects act coherently in specific channels, namely for the Landau parameters f_1, h_0 and g_0, which results in a dramatic increase in the quasiparticle effective mass as well as a decrease in both the effective tensor force and the neutron matter spin susceptibility. For densities greater than about half nuclear matter saturation density ρ_0, the contributions to the Fermi liquid parameters from the leading-order chiral three-nucleon force scale in all cases approximately linearly with the nucleon density. The largest effect of the three-nucleon force is to generate a strongly repulsive effective interaction in the isotropic spin-independent channel. We show that the leading-order chiral three-nucleon force leads to an increase in the spin susceptibility of neutron matter, but we observe no evidence for a ferromagnetic spin instability in the vicinity of the saturation density ρ_0. This work sets the foundation for future studies of neutron matter response to weak and electromagnetic probes with applications to neutron star structure and evolution.
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