带有质量标量中介子的经典引力散射
Classical gravitational scattering with a massive scalar mediator
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中文总结 AI 辅助
本研究针对带质量标量中介子的两致密天体经典引力散射，经量纲分析推导后，给出二阶后闵可夫斯基阶下线性冲量与散射角的解析结果，揭示了次领头阶的共振与屏蔽两种新效应。
中文摘要 AI 辅助
我们考虑在存在质量标量中介子的情况下，两个受引力作用的致密天体的经典散射，为奇异现象提供了一个简单模型。通过量纲分析，我们论证了该过程仅在引力存在时才具有经典性，其结果是，标量与世界线耦合的微扰并非后闵可夫斯基展开的独立部分。在计算渐近可观测量时，质量中介子在次领头阶会使傅里叶变换到碰撞参数空间的过程变得复杂。我们将其简化为便于数值积分的单变量参数积分，并给出了二阶后闵可夫斯基阶下线性冲量和散射角的解析结果。当标量介导力的范围与碰撞参数可比时，散射角会出现共振，这是质量中介子的独特特征。在相反的大质量区域，我们发现了屏蔽效应：每个致密天体产生的标量云携带负能量，其引力质量会减少一个与标量质量线性相关的量。这两种现象均为次领头阶效应。
英文摘要
We consider the classical scattering of two gravitating compact objects in the presence of a massive scalar mediator, providing a simple model of exotic phenomena. Through dimensional analysis, we argue that such a process can only be classical in the presence of gravity, a consequence of which is that perturbing in the coupling of the scalar to a worldline is not separate from the post-Minkowskian expansion. When computing asymptotic observables, the massive mediator complicates the Fourier transforms to impact-parameter space at next-to-leading order. We reduce these to univariate parametric integrals - amenable to numerical integration - and produce analytic results for the linear impulse and the scattering angle to the second post-Minkowskian order. The scattering angle exhibits a maximum when the range of the scalar-mediated force is comparable to the impact parameter, a possible signature of a massive scalar mediator. In the opposite, large-mass regime we uncover a screening effect: integrating out the scalar sourced by each compact object reduces its gravitational mass by an amount linear in the scalar's mass. Both of these phenomena are next-to-leading-order effects.
发表机构
- Institut für Physik, Humboldt-Universität zu Berlin（柏林洪堡大学物理研究所）
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