Cheung Clifford, Solon Mikhail P
Walter Burke Institute for Theoretical Physics, California Institute of Technology, Pasadena, California 91125.
Phys Rev Lett. 2020 Nov 6;125(19):191601. doi: 10.1103/PhysRevLett.125.191601.
Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present Letter, we extend this approach to include the tidal effects of mass and current quadrupoles on the conservative dynamics of nonspinning neutron star mergers. We compute the leading and, for the first time, next-to-leading order post-Minkowskian finite size corrections to the conservative Hamiltonian, together with their associated scattering amplitudes and scattering angles. Our expressions are gauge invariant and, in the extreme mass ratio limit, consistent with the dynamics of a tidally deformed test body in a Schwarzschild background. Furthermore, they agree completely with existing results at leading post-Minkowskian and second post-Newtonian orders.
来自散射振幅和有效场论的工具最近被重新用于推导后闵可夫斯基展开中黑洞双星旋进的最新结果。在本快报中，我们扩展了这种方法，以纳入质量和电流四极矩对非自旋中子星合并的保守动力学的潮汐效应。我们计算了保守哈密顿量的主导阶以及首次出现的次主导阶后闵可夫斯基有限尺寸修正，以及它们相关的散射振幅和散射角。我们的表达式是规范不变的，并且在极端质量比极限下，与史瓦西背景中潮汐变形测试体的动力学一致。此外，它们与主导后闵可夫斯基阶和第二后牛顿阶的现有结果完全一致。
